_Cross_Price_Elasticityof_Demand.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Part 3 .- Price Elasticity and Cross-Price Elasticity of Demand "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.1 Price Elasticity of Demand (cross-price elasticity located after price elasticity)\n",
    "\n",
    "This model is based on Cost and Economics in Price Strategy certification by the University of Virginia.\n",
    "\n",
    "In the following analysis, we select Best Buy products as our main price elasticity analysis. For future reference, this model can be implemented in every kind of vendor, e-commerce or brick and mortar.\n",
    "\n",
    "**Hypothesis Proposed**\n",
    "<t>\n",
    "   \n",
    "- From the Bestbuy laptop sample data in 2017. Is impression demand sensitive to its own product price changes?\n",
    "  If yes, by how much is impression demand sensitive to price change?\n",
    "\n",
    "**Machine Learning Model**\n",
    "<t>\n",
    "    \n",
    "- Linear Regression\n",
    "\n",
    "**Price Elasticity Formula**\n",
    "\n",
    "- The price elasticity in demand is defined as the percentage change in quantity demanded divided by the percentage change in price (2003, OECD). In this model, price-elasticity is the calculation of how sensitive impression demand is to price change\n",
    "\n",
    "   **Quantity percentage change / Price percentage change * Price Mean / Quantity Mean** (2019,John Doe)\n",
    "   \n",
    "## Content\n",
    "\n",
    "- **3.1.1 Sample Selection**\n",
    "- **3.1.2 Sample Imputation**\n",
    "- **3.1.3 Linear Regression Model**\n",
    "- **3.1.4 Price Elasticity Null Hypothesis**\n",
    "- **3.1.5 Price Elasticity Results**\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv('price_clean.csv', encoding = \"ISO-8859-1\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_best = df[df['merchant']=='Bestbuy.com']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.1.1 Sample Selection\n",
    "\n",
    "For the price elasticity model, we take the following sample: \n",
    "<t>\n",
    "Bestbuy main category is **laptop, computer** with **9.5% (1,071)** of total impression count"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Bestbuy Category Percentage\n",
      "--------------------------------------------------\n",
      "laptop, computer                9.488792\n",
      "speaker, portable, bluetooth    6.715691\n",
      "car, speaker, subwoofer         4.899442\n",
      "receiver, amplifier, home       4.429875\n",
      "car, receiver, dash             3.641357\n",
      "Name: Category_name, dtype: float64\n",
      " Bestbuy Category values count\n",
      "--------------------------------------------------\n",
      "laptop, computer                1071\n",
      "speaker, portable, bluetooth     758\n",
      "car, speaker, subwoofer          553\n",
      "receiver, amplifier, home        500\n",
      "car, receiver, dash              411\n",
      "Name: Category_name, dtype: int64\n"
     ]
    }
   ],
   "source": [
    "category = df_best['Category_name'].value_counts()\n",
    "print(\"Bestbuy Category Percentage\\n{}\\n{}\\n Bestbuy Category values count\\n{}\\n{}\".format(\n",
    "      50*\"-\", (category / len(df_best.index))[:5] * 100, 50*\"-\", category[:5]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_laptop = df_best[df_best['Category_name']=='laptop, computer']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###  3.1.2 Sample Imputation\n",
    "\n",
    "Following data preprocessing selected is for the 2017 year, on a weekly basis.\n",
    "- Mean price and number of impression count per week\n",
    "- NaN value manipulation, this model implements the fillna method = 'ffill' by filling the nan values with the last reference cell value. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "#impressions per month\n",
    "test1 = df_laptop.groupby(['name', 'Week_Number']).agg({'disc_price': 'mean' ,'Date_imp': 'count' }).reset_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_pivot = test1.pivot(index='Week_Number', columns='name' ,values='disc_price')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
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       "      <th>...</th>\n",
       "      <th>HP - ProBook 14 Laptop - Intel Core i5 - 4GB Memory - 500GB Hard Drive - Black\"</th>\n",
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       "   Week_Number  12 MacBook (Mid 2017, Gold)  12 MacBook (Mid 2017, Silver)  \\\n",
       "0            4                          NaN                            NaN   \n",
       "1            9                          NaN                            NaN   \n",
       "\n",
       "   12.3 32GB Multi-Touch 2-in-1 Chromebook Plus  \\\n",
       "0                                           NaN   \n",
       "1                                       426.495   \n",
       "\n",
       "   13.3 MacBook Air (Mid 2017, Silver)  \\\n",
       "0                                  NaN   \n",
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       "\n",
       "   15.4 MacBook Pro with Touch Bar (Late 2016, Silver)  \\\n",
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       "   15.4 MacBook Pro with Touch Bar (Late 2016, Space Gray)  \\\n",
       "0                                                NaN         \n",
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       "\n",
       "   ASUS VivoBook Max X541SA 15.6Inch Laptop Intel Pentium 4GB Memory 500GB HD Matte IMR X541SA-PD0703X  \\\n",
       "0                                                NaN                                                     \n",
       "1                                                NaN                                                     \n",
       "\n",
       "   Acer - 2-in-1 15.6 Refurbished Touch-Screen Laptop - Intel Core i7 - 12GB Memory - NVIDIA GeForce 940MX - 1TB Hard Drive - Steel gray\"  \\\n",
       "0                                                NaN                                                                                        \n",
       "1                                             899.99                                                                                        \n",
       "\n",
       "   Acer 15.6 Chromebook CB5-571-C4G4  \\\n",
       "0                                NaN   \n",
       "1                            236.495   \n",
       "\n",
       "                                                                 ...                                                                  \\\n",
       "0                                                                ...                                                                   \n",
       "1                                                                ...                                                                   \n",
       "\n",
       "   HP - ProBook 14 Laptop - Intel Core i5 - 4GB Memory - 500GB Hard Drive - Black\"  \\\n",
       "0                                                NaN                                 \n",
       "1                                             799.99                                 \n",
       "\n",
       "   HP 15-AY103DX 15.6 Touchscreen Touch Screen HD Laptop Notebook PC Computer 7th Gen i5-7200U Kaby Lake 8GB Memory 1TB HDD Hard Drive Windows 10\"  \\\n",
       "0                                                NaN                                                                                                 \n",
       "1                                             499.99                                                                                                 \n",
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       "   Lenovo - 100S-14IBR 14 Laptop - Intel Celeron - 2GB Memory - 32GB eMMC Flash Memory - Navy blue\"  \\\n",
       "0                                                NaN                                                  \n",
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       "   Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Laptop - Intel Core i5 - 8GB Memory - 128GB Solid State Drive - Silver Tablet PC Notebook 80V6000PUS\"  \\\n",
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       "1                                             664.99                                                                                                  \n",
       "\n",
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       "0                                                NaN                                          \n",
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       "   MSI - WS Series 15.6 Laptop - Intel Core i7 - 16GB Memory - 256GB Solid State Drive + 2TB Hard Drive - Aluminum Black\"  \\\n",
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       "   Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen Laptop - Intel Core i7 - 32GB Memory - NVIDIA GeForce GTX 1080 - 1TB SSD - Black\"  \\\n",
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       "1                                             617.49                                                                                  \n",
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     "execution_count": 9,
     "metadata": {},
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   ],
   "source": [
    "x_values = pd.DataFrame(x_pivot.to_records())\n",
    "x_values.fillna(method='ffill', inplace=True)\n",
    "x_values[:2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
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       "      <th>12 MacBook (Mid 2017, Gold)</th>\n",
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       "      <th>12.3 32GB Multi-Touch 2-in-1 Chromebook Plus</th>\n",
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       "      <th>ASUS VivoBook Max X541SA 15.6Inch Laptop Intel Pentium 4GB Memory 500GB HD Matte IMR X541SA-PD0703X</th>\n",
       "      <th>Acer - 2-in-1 15.6 Refurbished Touch-Screen Laptop - Intel Core i7 - 12GB Memory - NVIDIA GeForce 940MX - 1TB Hard Drive - Steel gray\"</th>\n",
       "      <th>Acer 15.6 Chromebook CB5-571-C4G4</th>\n",
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       "   Week_Number  12 MacBook (Mid 2017, Gold)  12 MacBook (Mid 2017, Silver)  \\\n",
       "0            4                          NaN                            NaN   \n",
       "1            9                          NaN                            NaN   \n",
       "\n",
       "   12.3 32GB Multi-Touch 2-in-1 Chromebook Plus  \\\n",
       "0                                           NaN   \n",
       "1                                           4.0   \n",
       "\n",
       "   13.3 MacBook Air (Mid 2017, Silver)  \\\n",
       "0                                  NaN   \n",
       "1                                  NaN   \n",
       "\n",
       "   15.4 MacBook Pro with Touch Bar (Late 2016, Silver)  \\\n",
       "0                                                NaN     \n",
       "1                                                3.0     \n",
       "\n",
       "   15.4 MacBook Pro with Touch Bar (Late 2016, Space Gray)  \\\n",
       "0                                                NaN         \n",
       "1                                                6.0         \n",
       "\n",
       "   ASUS VivoBook Max X541SA 15.6Inch Laptop Intel Pentium 4GB Memory 500GB HD Matte IMR X541SA-PD0703X  \\\n",
       "0                                                NaN                                                     \n",
       "1                                                NaN                                                     \n",
       "\n",
       "   Acer - 2-in-1 15.6 Refurbished Touch-Screen Laptop - Intel Core i7 - 12GB Memory - NVIDIA GeForce 940MX - 1TB Hard Drive - Steel gray\"  \\\n",
       "0                                                NaN                                                                                        \n",
       "1                                                2.0                                                                                        \n",
       "\n",
       "   Acer 15.6 Chromebook CB5-571-C4G4  \\\n",
       "0                                NaN   \n",
       "1                                4.0   \n",
       "\n",
       "                                                                 ...                                                                  \\\n",
       "0                                                                ...                                                                   \n",
       "1                                                                ...                                                                   \n",
       "\n",
       "   HP - ProBook 14 Laptop - Intel Core i5 - 4GB Memory - 500GB Hard Drive - Black\"  \\\n",
       "0                                                NaN                                 \n",
       "1                                                1.0                                 \n",
       "\n",
       "   HP 15-AY103DX 15.6 Touchscreen Touch Screen HD Laptop Notebook PC Computer 7th Gen i5-7200U Kaby Lake 8GB Memory 1TB HDD Hard Drive Windows 10\"  \\\n",
       "0                                                NaN                                                                                                 \n",
       "1                                                2.0                                                                                                 \n",
       "\n",
       "   Lenovo - 100S-14IBR 14 Laptop - Intel Celeron - 2GB Memory - 32GB eMMC Flash Memory - Navy blue\"  \\\n",
       "0                                                NaN                                                  \n",
       "1                                                NaN                                                  \n",
       "\n",
       "   Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Laptop - Intel Core i5 - 8GB Memory - 128GB Solid State Drive - Silver Tablet PC Notebook 80V6000PUS\"  \\\n",
       "0                                                NaN                                                                                                  \n",
       "1                                                4.0                                                                                                  \n",
       "\n",
       "   Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Touch Laptop (Pentium 4405Y, 4 GB Ram, 128 GB SSD, Windows 10), SilverNotebook PC Computer Tablet Touchscreen Screen 2-in-1  \\\n",
       "0                                                NaN                                                                                                                         \n",
       "1                                                4.0                                                                                                                         \n",
       "\n",
       "   Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD Touch - Pentium 4405U 2.1Ghz - 4GB - 500GB\"  \\\n",
       "0                                                NaN                                          \n",
       "1                                                4.0                                          \n",
       "\n",
       "   MSI - WS Series 15.6 Laptop - Intel Core i7 - 16GB Memory - 256GB Solid State Drive + 2TB Hard Drive - Aluminum Black\"  \\\n",
       "0                                                NaN                                                                        \n",
       "1                                                NaN                                                                        \n",
       "\n",
       "   New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5ghz 16gb Ddr4 2tb Hd 940mx2gb W10\"  \\\n",
       "0                                                NaN                                 \n",
       "1                                                4.0                                 \n",
       "\n",
       "   Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen Laptop - Intel Core i7 - 32GB Memory - NVIDIA GeForce GTX 1080 - 1TB SSD - Black\"  \\\n",
       "0                                                NaN                                                                                   \n",
       "1                                                NaN                                                                                   \n",
       "\n",
       "   Samsung - Notebook 5 15.6 Touch-Screen Laptop - Intel Core i5 - 8GB Memory - NVIDIA GeForce 920MX - 1TB Hard Drive - Solid black\"  \n",
       "0                                                NaN                                                                                  \n",
       "1                                                2.0                                                                                  \n",
       "\n",
       "[2 rows x 40 columns]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_pivot = test1.pivot(index='Week_Number', columns='name', values='Date_imp')\n",
    "y_values = pd.DataFrame(y_pivot.to_records())\n",
    "y_values.fillna(method='ffill', inplace=True)\n",
    "y_values[:2]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.1.3 Linear Regression Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "points = []\n",
    "results_values = {\n",
    "    \"name\": [],\n",
    "    \"price_elasticity\": [],\n",
    "    \"price_mean\": [],\n",
    "    \"quantity_mean\": [],\n",
    "    \"intercept\": [],\n",
    "    \"slope\": [],\n",
    "    \"coefficient_pvalue\" : [],\n",
    "    \"rsquared\": [],\n",
    "}\n",
    "\n",
    "for column in x_values.columns[1:]:\n",
    "    from pandas.core import datetools\n",
    "    column_points = []\n",
    "    for i in range(len(x_values[column])):\n",
    "        if not np.isnan(x_values[column][i]) and not np.isnan(y_values[column][i]):\n",
    "            column_points.append((x_values[column][i], y_values[column][i]))\n",
    "    df = pd.DataFrame(list(column_points), columns= ['x_value', 'y_value'])\n",
    "\n",
    "    #Linear Regression Model\n",
    "    import statsmodels.api as sm\n",
    "    x_value = df['x_value']\n",
    "    y_value = df['y_value']\n",
    "    X = sm.add_constant(x_value)\n",
    "    model = sm.OLS(y_value, X)\n",
    "    result = model.fit()\n",
    "    \n",
    "    #(Null Hypothesis test) Coefficient with a p value less than 0.05\n",
    "    if result.f_pvalue < 0.05:\n",
    "        \n",
    "        rsquared = result.rsquared\n",
    "        coefficient_pvalue = result.f_pvalue\n",
    "        intercept, slope = result.params\n",
    "        mean_price = np.mean(x_value)\n",
    "        mean_quantity = np.mean(y_value)\n",
    "        \n",
    "        #Price elasticity Formula\n",
    "        price_elasticity = (slope)*(mean_price/mean_quantity)\n",
    "        \n",
    "        #Append results into dictionary for dataframe\n",
    "        results_values[\"name\"].append(column)\n",
    "        results_values[\"price_elasticity\"].append(price_elasticity)\n",
    "        results_values[\"price_mean\"].append(mean_price)\n",
    "        results_values[\"quantity_mean\"].append(mean_quantity)\n",
    "        results_values[\"intercept\"].append(intercept)\n",
    "        results_values[\"slope\"].append(slope)\n",
    "        results_values[\"coefficient_pvalue\"].append(coefficient_pvalue)\n",
    "        results_values[\"rsquared\"].append(rsquared)\n",
    "        \n",
    "final_df = pd.DataFrame.from_dict(results_values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_elasticity = final_df[['name','price_elasticity','coefficient_pvalue','slope','price_mean','quantity_mean','intercept','rsquared']]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.1.4 Price Elasticity Null Hypothesis Testing\n",
    "\n",
    "** Null hypothesis: Does price change not affect impression of demand?**\n",
    "\n",
    " </t>\n",
    "We reject the null hypothesis by only calculating the price elasticity of demand slope that counts with a p-value of less than 0.05"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Following null hypothesis was rejected. Therefore, we can proceed with the results that is statistically significant proved the relation of impression demand with price changes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Null Hypothesis Rejected: 14 out of 39\n"
     ]
    }
   ],
   "source": [
    "print(\"Null Hypothesis Rejected:\", len(df_elasticity), \"out of\", len(set(test1['name'])) )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.1.5 Price Elasticity Results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>price_elasticity</th>\n",
       "      <th>coefficient_pvalue</th>\n",
       "      <th>slope</th>\n",
       "      <th>price_mean</th>\n",
       "      <th>quantity_mean</th>\n",
       "      <th>intercept</th>\n",
       "      <th>rsquared</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Acer - 2-in-1 15.6 Refurbished Touch-Screen La...</td>\n",
       "      <td>-3.021049</td>\n",
       "      <td>0.000033</td>\n",
       "      <td>-0.006533</td>\n",
       "      <td>795.390000</td>\n",
       "      <td>1.720000</td>\n",
       "      <td>6.916205</td>\n",
       "      <td>0.534298</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Apple - MacBook Pro¨ - 13 Display - Intel Core...</td>\n",
       "      <td>6.272229</td>\n",
       "      <td>0.019966</td>\n",
       "      <td>0.014479</td>\n",
       "      <td>1399.566923</td>\n",
       "      <td>3.230769</td>\n",
       "      <td>-17.033355</td>\n",
       "      <td>0.401953</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Apple - MacBook Pro¨ - 13 Display - Intel Core...</td>\n",
       "      <td>8.087901</td>\n",
       "      <td>0.010131</td>\n",
       "      <td>0.017007</td>\n",
       "      <td>1394.956667</td>\n",
       "      <td>2.933333</td>\n",
       "      <td>-20.791175</td>\n",
       "      <td>0.409979</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Apple - MacBook Pro¨ - 13 Display - Intel Core...</td>\n",
       "      <td>-15.349549</td>\n",
       "      <td>0.001113</td>\n",
       "      <td>-0.018873</td>\n",
       "      <td>1897.756667</td>\n",
       "      <td>2.333333</td>\n",
       "      <td>38.148948</td>\n",
       "      <td>0.571427</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 ...</td>\n",
       "      <td>2.459541</td>\n",
       "      <td>0.002292</td>\n",
       "      <td>0.009879</td>\n",
       "      <td>1334.436667</td>\n",
       "      <td>5.360000</td>\n",
       "      <td>-7.823141</td>\n",
       "      <td>0.338263</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                name  price_elasticity  \\\n",
       "0  Acer - 2-in-1 15.6 Refurbished Touch-Screen La...         -3.021049   \n",
       "1  Apple - MacBook Pro¨ - 13 Display - Intel Core...          6.272229   \n",
       "2  Apple - MacBook Pro¨ - 13 Display - Intel Core...          8.087901   \n",
       "3  Apple - MacBook Pro¨ - 13 Display - Intel Core...        -15.349549   \n",
       "4  Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 ...          2.459541   \n",
       "\n",
       "   coefficient_pvalue     slope   price_mean  quantity_mean  intercept  \\\n",
       "0            0.000033 -0.006533   795.390000       1.720000   6.916205   \n",
       "1            0.019966  0.014479  1399.566923       3.230769 -17.033355   \n",
       "2            0.010131  0.017007  1394.956667       2.933333 -20.791175   \n",
       "3            0.001113 -0.018873  1897.756667       2.333333  38.148948   \n",
       "4            0.002292  0.009879  1334.436667       5.360000  -7.823141   \n",
       "\n",
       "   rsquared  \n",
       "0  0.534298  \n",
       "1  0.401953  \n",
       "2  0.409979  \n",
       "3  0.571427  \n",
       "4  0.338263  "
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_elasticity.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "def divergent_plot(df, values_column, ylabel, xlabel):\n",
    "\n",
    "    #Divergent plot\n",
    "    df['ranking'] = df[values_column].rank( ascending = True).astype(int)\n",
    "    df.sort_values(values_column, ascending =False, inplace = True)\n",
    "    plt.figure(figsize = (12,5), dpi = 80)\n",
    "    plt.hlines(y = df['ranking'] , xmin = 0, xmax = df[values_column], alpha = 0.5, linewidth = 3)\n",
    "    \n",
    "    #Add elasticity labels\n",
    "    for x, y, tex in zip(df[values_column], df['ranking'] , df[values_column]):\n",
    "        plt.text(x, y, round(tex, 2), horizontalalignment='right' if x < 0 else 'left', \n",
    "                 verticalalignment='center', fontdict={'color':'red' if x < 0 else 'green', 'size':10})\n",
    "        \n",
    "    \n",
    "    # Axis and title\n",
    "    plt.gca().set(ylabel= ylabel, xlabel= xlabel)\n",
    "    plt.yticks(df['ranking'])\n",
    "    plt.title(values_column , fontdict={'size':13})\n",
    "    plt.grid(linestyle='--', alpha=0.5)\n",
    "    plt.show()\n",
    "            \n",
    "    \n",
    "    #Adjust Ranking column and print dataframe\n",
    "    cols = list(df.columns)\n",
    "    cols = [cols[-1]] + cols[:-1]\n",
    "    df = df[cols]\n",
    "    \n",
    "    df = df.iloc[:,:3]\n",
    "    df.set_index('ranking', inplace=True)\n",
    "    display(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d58cf98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>price_elasticity</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ranking</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>Apple - MacBook Pro¨ - 13 Display - Intel Core...</td>\n",
       "      <td>8.087901</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>Apple - MacBook Pro¨ - 13 Display - Intel Core...</td>\n",
       "      <td>6.272229</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>Samsung - Notebook 5 15.6 Touch-Screen Laptop ...</td>\n",
       "      <td>6.118304</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 ...</td>\n",
       "      <td>2.459541</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>Details About Asus Q304 13.3 Laptop I5 2.5 Ghz...</td>\n",
       "      <td>0.532044</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - In...</td>\n",
       "      <td>-0.613806</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"</td>\n",
       "      <td>-1.371023</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>Details About Openbox Excellent: Asus Rog Gl50...</td>\n",
       "      <td>-2.349560</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD T...</td>\n",
       "      <td>-2.527233</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>Acer - 2-in-1 15.6 Refurbished Touch-Screen La...</td>\n",
       "      <td>-3.021049</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Razer - Blade Pro 17.3 4K Ultra HD Touch-Scree...</td>\n",
       "      <td>-5.587323</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Dell - Inspiron 15.6 Laptop - Intel Core i5 - ...</td>\n",
       "      <td>-6.704656</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Details About Apple Macbook Air 13.3 Laptop (e...</td>\n",
       "      <td>-11.101426</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Apple - MacBook Pro¨ - 13 Display - Intel Core...</td>\n",
       "      <td>-15.349549</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                      name  price_elasticity\n",
       "ranking                                                                     \n",
       "14       Apple - MacBook Pro¨ - 13 Display - Intel Core...          8.087901\n",
       "13       Apple - MacBook Pro¨ - 13 Display - Intel Core...          6.272229\n",
       "12       Samsung - Notebook 5 15.6 Touch-Screen Laptop ...          6.118304\n",
       "11       Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 ...          2.459541\n",
       "10       Details About Asus Q304 13.3 Laptop I5 2.5 Ghz...          0.532044\n",
       "9        Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - In...         -0.613806\n",
       "8         Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"         -1.371023\n",
       "7        Details About Openbox Excellent: Asus Rog Gl50...         -2.349560\n",
       "6        Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD T...         -2.527233\n",
       "5        Acer - 2-in-1 15.6 Refurbished Touch-Screen La...         -3.021049\n",
       "4        Razer - Blade Pro 17.3 4K Ultra HD Touch-Scree...         -5.587323\n",
       "3        Dell - Inspiron 15.6 Laptop - Intel Core i5 - ...         -6.704656\n",
       "2        Details About Apple Macbook Air 13.3 Laptop (e...        -11.101426\n",
       "1        Apple - MacBook Pro¨ - 13 Display - Intel Core...        -15.349549"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pe_plot = divergent_plot(df_elasticity, 'price_elasticity', 'Ranking Number', 'Price Elasticity')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Demand is said to be elastic when demand has a higher proportionate response to a smaller change in price. On the other hand, demand is inelastic when there is little movement in demand with a significant difference in price.\n",
    "\n",
    "We can analyze in the results that the largest price elasticies are:\n",
    " - Apple - MacBook Pro¨ - 13 Display - Intel Core i5 - 8 GB Memory - 512GB -   Silver\": PED of  **-15.35**\n",
    "      - In other words: a 10% price increase in  Apple - MacBook Pro¨ - 13 512GB , it decreases ad impression demand by 153.5%\n",
    "    \n",
    "\n",
    "- Apple - MacBook Pro¨ - 13 Display - 256GB - Space Gray\": PED of **8.09** \n",
    "  - In other words: a 10% price increase in Apple - MacBook Pro \"\" , it increases ad impression demand by 80.9%\n",
    "    \n",
    "    \n",
    "Additional Information to take into consideration:\n",
    "\n",
    "**Electronic Lifecycle product and price elasticity:**\n",
    "In the growth phase of the product life cycle, the product will tend to be fairly inelastic. This is because of the nature of the demand. People buying at this stage will tend to be 'innovators' and they are prepared to take risks with new products and are willing to pay a high price to have the latest technology.\n",
    "\n",
    "However, as the product moves towards maturity, the elasticity will increase. The amount of competition will increase and the increasing number of substitutes will make consumers more price sensitive. The nature of the consumers will also change and they are likely to be more motivated to buy by factors like price, functionality and reliability."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### References:\n",
    "- (Doe, 2019) Cost and Economics in Pricing Strategy  (John Doe, University of Virginia)\n",
    "- (OECD, 2003) OECD (https://stats.oecd.org/glossary/detail.asp?ID=3206)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.2 Cross-Price Elasticity Matrix\n",
    "\n",
    "Cross-price elasticity's main purpose is to analyze how sensible is our price against their main competitors. For instance, does our product impression demand increase, if our direct competitor Y increases their prices on the same or similar electronic products within a certain timeframe? \n",
    "\n",
    "- Cross-Price Elasticity Formula\n",
    "\n",
    "    **Quantity percentage change/ Competitor Price percentage change * Competitor Price Mean/ Quantity Mean**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Cross price elasticity function\n",
    "\n",
    "def crossprice_(df_x, df_y, column_name):\n",
    "    import statsmodels.api as sm\n",
    "    \n",
    "    #grab all X_values\n",
    "    new_df = df_x.copy()\n",
    "    #grab y_value with same column name\n",
    "    new_df['y_value-' + column_name] = df_y[column_name]\n",
    "    \n",
    "    multi_xvalues = new_df.loc[:, new_df.columns[1:-1]]\n",
    "    multi_yvalue = new_df.loc[:, new_df.columns[-1]]\n",
    "    \n",
    "    #get price mean values per product\n",
    "    mean_xvalues = np.mean(multi_xvalues)\n",
    "    #get mean quantity for y value\n",
    "    mean_yvalue = np.mean(multi_yvalue)\n",
    "    \n",
    "    # Multilinear regression\n",
    "    X = sm.add_constant(multi_xvalues)\n",
    "    model = sm.OLS(multi_yvalue, X, missing='drop')\n",
    "    result = model.fit()\n",
    "    \n",
    "    #get results\n",
    "    results_summary = result.summary()\n",
    "    #get pvalues of each coefficient\n",
    "    pvalue = result.pvalues\n",
    "    \n",
    "    #transform summary result to a table\n",
    "    results_as_html = results_summary.tables[1].as_html()\n",
    "    new_dataframe = pd.read_html(results_as_html, header=0, index_col=0)[0]\n",
    "    \n",
    "    #add p value to the table\n",
    "    new_dataframe['p_value']= pvalue\n",
    "    \n",
    "    #set product name as index\n",
    "    new_dataframe.index.name = 'name'\n",
    "    new_dataframe.reset_index()\n",
    "    \n",
    "    #get each product name price mean\n",
    "    new_dataframe['mean'] = mean_xvalues\n",
    "    # execute cross-price formula\n",
    "    new_dataframe['price_elasticity'] = (new_dataframe.coef) * (new_dataframe['mean'] / mean_yvalue)\n",
    "\n",
    "    new_dataframe = new_dataframe.reset_index()\n",
    "    pvalue_significant = new_dataframe['p_value']\n",
    "    \n",
    "    #Chech null hypothesis for coefficient or slope value per product\n",
    "    new_dataframe[column_name+'_CPE'] = np.where((pvalue_significant > .05), 'No effect', new_dataframe['price_elasticity'])\n",
    "    new_dataframe = new_dataframe.dropna()\n",
    "    \n",
    "    return new_dataframe[['name', column_name + '_CPE']]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "#append cross-price elasticity into a matrix for analysis\n",
    "result_df = pd.DataFrame()\n",
    "for column in x_values.columns[1:]:\n",
    "    result_df[['name', column + '_CPE']] = crossprice_(x_values, y_values, column)\n",
    "    result_df = result_df.dropna()\n",
    "    result_df[column+'_CPE'] = pd.to_numeric(result_df[column+'_CPE'], errors='coerce').fillna(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "result_df = result_df.set_index('name')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>12 MacBook (Mid 2017, Gold)_CPE</th>\n",
       "      <th>12 MacBook (Mid 2017, Silver)_CPE</th>\n",
       "      <th>12.3 32GB Multi-Touch 2-in-1 Chromebook Plus_CPE</th>\n",
       "      <th>13.3 MacBook Air (Mid 2017, Silver)_CPE</th>\n",
       "      <th>15.4 MacBook Pro with Touch Bar (Late 2016, Silver)_CPE</th>\n",
       "      <th>15.4 MacBook Pro with Touch Bar (Late 2016, Space Gray)_CPE</th>\n",
       "      <th>ASUS VivoBook Max X541SA 15.6Inch Laptop Intel Pentium 4GB Memory 500GB HD Matte IMR X541SA-PD0703X_CPE</th>\n",
       "      <th>Acer - 2-in-1 15.6 Refurbished Touch-Screen Laptop - Intel Core i7 - 12GB Memory - NVIDIA GeForce 940MX - 1TB Hard Drive - Steel gray\"_CPE</th>\n",
       "      <th>Acer 15.6 Chromebook CB5-571-C4G4_CPE</th>\n",
       "      <th>Alienware - R3 17.3 Laptop - Intel Core i7 - 16GB Memory - 1TB Hard Drive + 256GB Solid State Drive - Epic Silver\"_CPE</th>\n",
       "      <th>...</th>\n",
       "      <th>HP - ProBook 14 Laptop - Intel Core i5 - 4GB Memory - 500GB Hard Drive - Black\"_CPE</th>\n",
       "      <th>HP 15-AY103DX 15.6 Touchscreen Touch Screen HD Laptop Notebook PC Computer 7th Gen i5-7200U Kaby Lake 8GB Memory 1TB HDD Hard Drive Windows 10\"_CPE</th>\n",
       "      <th>Lenovo - 100S-14IBR 14 Laptop - Intel Celeron - 2GB Memory - 32GB eMMC Flash Memory - Navy blue\"_CPE</th>\n",
       "      <th>Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Laptop - Intel Core i5 - 8GB Memory - 128GB Solid State Drive - Silver Tablet PC Notebook 80V6000PUS\"_CPE</th>\n",
       "      <th>Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Touch Laptop (Pentium 4405Y, 4 GB Ram, 128 GB SSD, Windows 10), SilverNotebook PC Computer Tablet Touchscreen Screen 2-in-1_CPE</th>\n",
       "      <th>Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD Touch - Pentium 4405U 2.1Ghz - 4GB - 500GB\"_CPE</th>\n",
       "      <th>MSI - WS Series 15.6 Laptop - Intel Core i7 - 16GB Memory - 256GB Solid State Drive + 2TB Hard Drive - Aluminum Black\"_CPE</th>\n",
       "      <th>New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5ghz 16gb Ddr4 2tb Hd 940mx2gb W10\"_CPE</th>\n",
       "      <th>Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen Laptop - Intel Core i7 - 32GB Memory - NVIDIA GeForce GTX 1080 - 1TB SSD - Black\"_CPE</th>\n",
       "      <th>Samsung - Notebook 5 15.6 Touch-Screen Laptop - Intel Core i5 - 8GB Memory - NVIDIA GeForce 920MX - 1TB Hard Drive - Solid black\"_CPE</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>name</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>12 MacBook (Mid 2017, Gold)</th>\n",
       "      <td>-4.266917</td>\n",
       "      <td>-1.904690</td>\n",
       "      <td>-0.000684</td>\n",
       "      <td>-0.000697</td>\n",
       "      <td>0.041909</td>\n",
       "      <td>0.307334</td>\n",
       "      <td>-0.000697</td>\n",
       "      <td>-0.000811</td>\n",
       "      <td>-0.000545</td>\n",
       "      <td>-1.994301</td>\n",
       "      <td>...</td>\n",
       "      <td>-1.994301</td>\n",
       "      <td>-0.000742</td>\n",
       "      <td>-0.000712</td>\n",
       "      <td>-0.000697</td>\n",
       "      <td>-0.000671</td>\n",
       "      <td>-0.000581</td>\n",
       "      <td>-1.957483</td>\n",
       "      <td>-0.000671</td>\n",
       "      <td>-3.912072</td>\n",
       "      <td>-2.065526</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12 MacBook (Mid 2017, Silver)</th>\n",
       "      <td>-10.606051</td>\n",
       "      <td>0.500366</td>\n",
       "      <td>-0.000385</td>\n",
       "      <td>-0.000392</td>\n",
       "      <td>0.034864</td>\n",
       "      <td>0.511337</td>\n",
       "      <td>-0.000392</td>\n",
       "      <td>-0.000456</td>\n",
       "      <td>-0.000307</td>\n",
       "      <td>1.216628</td>\n",
       "      <td>...</td>\n",
       "      <td>1.327231</td>\n",
       "      <td>-0.000417</td>\n",
       "      <td>-0.000401</td>\n",
       "      <td>-0.000392</td>\n",
       "      <td>-0.000377</td>\n",
       "      <td>-0.000327</td>\n",
       "      <td>1.302728</td>\n",
       "      <td>-0.000377</td>\n",
       "      <td>-0.751019</td>\n",
       "      <td>1.317356</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12.3 32GB Multi-Touch 2-in-1 Chromebook Plus</th>\n",
       "      <td>-0.162390</td>\n",
       "      <td>0.158330</td>\n",
       "      <td>0.002599</td>\n",
       "      <td>0.002651</td>\n",
       "      <td>-0.022064</td>\n",
       "      <td>-0.139738</td>\n",
       "      <td>0.002651</td>\n",
       "      <td>0.003083</td>\n",
       "      <td>0.002072</td>\n",
       "      <td>0.104993</td>\n",
       "      <td>...</td>\n",
       "      <td>0.034998</td>\n",
       "      <td>0.002820</td>\n",
       "      <td>0.002707</td>\n",
       "      <td>0.002651</td>\n",
       "      <td>0.002549</td>\n",
       "      <td>0.002209</td>\n",
       "      <td>0.034352</td>\n",
       "      <td>0.002549</td>\n",
       "      <td>0.059411</td>\n",
       "      <td>0.054372</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13.3 MacBook Air (Mid 2017, Silver)</th>\n",
       "      <td>-0.409262</td>\n",
       "      <td>0.675283</td>\n",
       "      <td>0.008963</td>\n",
       "      <td>0.009142</td>\n",
       "      <td>-0.025664</td>\n",
       "      <td>0.239535</td>\n",
       "      <td>0.009142</td>\n",
       "      <td>0.010631</td>\n",
       "      <td>0.007144</td>\n",
       "      <td>0.488509</td>\n",
       "      <td>...</td>\n",
       "      <td>0.407091</td>\n",
       "      <td>0.009726</td>\n",
       "      <td>0.009337</td>\n",
       "      <td>0.009142</td>\n",
       "      <td>0.008791</td>\n",
       "      <td>0.007619</td>\n",
       "      <td>0.399576</td>\n",
       "      <td>0.008791</td>\n",
       "      <td>0.460708</td>\n",
       "      <td>0.421630</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15.4 MacBook Pro with Touch Bar (Late 2016, Silver)</th>\n",
       "      <td>1.074186</td>\n",
       "      <td>-0.483384</td>\n",
       "      <td>0.121514</td>\n",
       "      <td>0.123944</td>\n",
       "      <td>-0.067361</td>\n",
       "      <td>-0.718519</td>\n",
       "      <td>0.123944</td>\n",
       "      <td>0.144122</td>\n",
       "      <td>0.103590</td>\n",
       "      <td>0.051971</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.213697</td>\n",
       "      <td>0.131856</td>\n",
       "      <td>0.126582</td>\n",
       "      <td>0.123944</td>\n",
       "      <td>0.119177</td>\n",
       "      <td>0.103287</td>\n",
       "      <td>-0.209752</td>\n",
       "      <td>0.119177</td>\n",
       "      <td>0.483686</td>\n",
       "      <td>-0.331994</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15.4 MacBook Pro with Touch Bar (Late 2016, Space Gray)</th>\n",
       "      <td>1.055726</td>\n",
       "      <td>-0.147048</td>\n",
       "      <td>0.107613</td>\n",
       "      <td>0.109765</td>\n",
       "      <td>-0.122949</td>\n",
       "      <td>1.106545</td>\n",
       "      <td>0.109765</td>\n",
       "      <td>0.127634</td>\n",
       "      <td>0.085754</td>\n",
       "      <td>0.390047</td>\n",
       "      <td>...</td>\n",
       "      <td>0.058546</td>\n",
       "      <td>0.116772</td>\n",
       "      <td>0.112101</td>\n",
       "      <td>0.109765</td>\n",
       "      <td>0.105544</td>\n",
       "      <td>0.091471</td>\n",
       "      <td>0.057465</td>\n",
       "      <td>0.105544</td>\n",
       "      <td>0.772482</td>\n",
       "      <td>0.060647</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ASUS VivoBook Max X541SA 15.6Inch Laptop Intel Pentium 4GB Memory 500GB HD Matte IMR X541SA-PD0703X</th>\n",
       "      <td>0.183928</td>\n",
       "      <td>0.015311</td>\n",
       "      <td>0.003193</td>\n",
       "      <td>0.003257</td>\n",
       "      <td>0.015783</td>\n",
       "      <td>-0.105222</td>\n",
       "      <td>0.003257</td>\n",
       "      <td>0.003787</td>\n",
       "      <td>0.002543</td>\n",
       "      <td>-0.100142</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.075107</td>\n",
       "      <td>0.003465</td>\n",
       "      <td>0.003326</td>\n",
       "      <td>0.003257</td>\n",
       "      <td>0.003132</td>\n",
       "      <td>0.002714</td>\n",
       "      <td>-0.073720</td>\n",
       "      <td>0.003132</td>\n",
       "      <td>-0.070832</td>\n",
       "      <td>-0.064824</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Acer - 2-in-1 15.6 Refurbished Touch-Screen Laptop - Intel Core i7 - 12GB Memory - NVIDIA GeForce 940MX - 1TB Hard Drive - Steel gray\"</th>\n",
       "      <td>0.106052</td>\n",
       "      <td>-0.051700</td>\n",
       "      <td>0.013705</td>\n",
       "      <td>0.013979</td>\n",
       "      <td>-0.007284</td>\n",
       "      <td>-0.072046</td>\n",
       "      <td>0.013979</td>\n",
       "      <td>0.016255</td>\n",
       "      <td>0.010924</td>\n",
       "      <td>0.005479</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.030177</td>\n",
       "      <td>0.014871</td>\n",
       "      <td>0.014276</td>\n",
       "      <td>0.013979</td>\n",
       "      <td>0.013441</td>\n",
       "      <td>0.011649</td>\n",
       "      <td>-0.029620</td>\n",
       "      <td>0.013441</td>\n",
       "      <td>0.038800</td>\n",
       "      <td>-0.031255</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Acer 15.6 Chromebook CB5-571-C4G4</th>\n",
       "      <td>0.237977</td>\n",
       "      <td>0.046406</td>\n",
       "      <td>0.001788</td>\n",
       "      <td>0.001824</td>\n",
       "      <td>0.012934</td>\n",
       "      <td>0.297472</td>\n",
       "      <td>0.001824</td>\n",
       "      <td>0.002121</td>\n",
       "      <td>0.001425</td>\n",
       "      <td>-0.016334</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.000460</td>\n",
       "      <td>0.001941</td>\n",
       "      <td>0.001863</td>\n",
       "      <td>0.001824</td>\n",
       "      <td>0.001754</td>\n",
       "      <td>0.001520</td>\n",
       "      <td>-0.000451</td>\n",
       "      <td>0.001754</td>\n",
       "      <td>0.000302</td>\n",
       "      <td>-0.000476</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Alienware - R3 17.3 Laptop - Intel Core i7 - 16GB Memory - 1TB Hard Drive + 256GB Solid State Drive - Epic Silver\"</th>\n",
       "      <td>0.620170</td>\n",
       "      <td>-0.362799</td>\n",
       "      <td>0.079628</td>\n",
       "      <td>0.081221</td>\n",
       "      <td>-0.042311</td>\n",
       "      <td>-0.438164</td>\n",
       "      <td>0.081221</td>\n",
       "      <td>0.094443</td>\n",
       "      <td>0.063461</td>\n",
       "      <td>0.031837</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.160389</td>\n",
       "      <td>0.086405</td>\n",
       "      <td>0.082949</td>\n",
       "      <td>0.081221</td>\n",
       "      <td>0.078097</td>\n",
       "      <td>0.067684</td>\n",
       "      <td>-0.157428</td>\n",
       "      <td>0.078097</td>\n",
       "      <td>0.272270</td>\n",
       "      <td>-0.166117</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Apple - MacBook Pro¨ - 13 Display - Intel Core i5 - 8 GB Memory - 256GB Flash Storage (Latest Model) - Silver\"</th>\n",
       "      <td>0.653131</td>\n",
       "      <td>-1.091662</td>\n",
       "      <td>0.010209</td>\n",
       "      <td>0.010413</td>\n",
       "      <td>-0.001776</td>\n",
       "      <td>0.963470</td>\n",
       "      <td>0.010413</td>\n",
       "      <td>0.012108</td>\n",
       "      <td>0.008136</td>\n",
       "      <td>-1.085871</td>\n",
       "      <td>...</td>\n",
       "      <td>-1.206523</td>\n",
       "      <td>0.011077</td>\n",
       "      <td>0.010634</td>\n",
       "      <td>0.010413</td>\n",
       "      <td>0.010012</td>\n",
       "      <td>0.008677</td>\n",
       "      <td>-1.184249</td>\n",
       "      <td>0.010012</td>\n",
       "      <td>-0.477901</td>\n",
       "      <td>-1.187133</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Apple - MacBook Pro¨ - 13 Display - Intel Core i5 - 8 GB Memory - 256GB Flash Storage (Latest Model) - Space Gray\"</th>\n",
       "      <td>0.650980</td>\n",
       "      <td>-1.088066</td>\n",
       "      <td>0.010175</td>\n",
       "      <td>0.010378</td>\n",
       "      <td>-0.001770</td>\n",
       "      <td>0.960296</td>\n",
       "      <td>0.010378</td>\n",
       "      <td>0.012068</td>\n",
       "      <td>0.008109</td>\n",
       "      <td>-1.082294</td>\n",
       "      <td>...</td>\n",
       "      <td>-1.202549</td>\n",
       "      <td>0.011041</td>\n",
       "      <td>0.010599</td>\n",
       "      <td>0.010378</td>\n",
       "      <td>0.009979</td>\n",
       "      <td>0.008649</td>\n",
       "      <td>-1.180348</td>\n",
       "      <td>0.009979</td>\n",
       "      <td>-0.476327</td>\n",
       "      <td>-1.183222</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Apple - MacBook Pro¨ - 13 Display - Intel Core i5 - 8 GB Memory - 512GB Flash Storage (Latest Model) - Silver\"</th>\n",
       "      <td>-3.795513</td>\n",
       "      <td>-1.973667</td>\n",
       "      <td>0.039965</td>\n",
       "      <td>0.040764</td>\n",
       "      <td>-0.154708</td>\n",
       "      <td>-1.650223</td>\n",
       "      <td>0.040764</td>\n",
       "      <td>0.047400</td>\n",
       "      <td>0.031847</td>\n",
       "      <td>-3.926393</td>\n",
       "      <td>...</td>\n",
       "      <td>-4.253593</td>\n",
       "      <td>0.043366</td>\n",
       "      <td>0.041631</td>\n",
       "      <td>0.040764</td>\n",
       "      <td>0.039196</td>\n",
       "      <td>0.033970</td>\n",
       "      <td>-4.175065</td>\n",
       "      <td>0.039196</td>\n",
       "      <td>-5.461836</td>\n",
       "      <td>-4.405507</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Apple 13.3 MacBook Air ( Silver)\"</th>\n",
       "      <td>0.220906</td>\n",
       "      <td>-0.143589</td>\n",
       "      <td>0.028366</td>\n",
       "      <td>0.028933</td>\n",
       "      <td>-0.015070</td>\n",
       "      <td>-0.160077</td>\n",
       "      <td>0.028933</td>\n",
       "      <td>0.033643</td>\n",
       "      <td>0.022600</td>\n",
       "      <td>0.011340</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.062454</td>\n",
       "      <td>0.030780</td>\n",
       "      <td>0.029549</td>\n",
       "      <td>0.028933</td>\n",
       "      <td>0.027820</td>\n",
       "      <td>0.024111</td>\n",
       "      <td>-0.061301</td>\n",
       "      <td>0.027820</td>\n",
       "      <td>0.107759</td>\n",
       "      <td>-0.049309</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 GB flash storage - English\"</th>\n",
       "      <td>8.851763</td>\n",
       "      <td>0.520430</td>\n",
       "      <td>0.000168</td>\n",
       "      <td>0.000171</td>\n",
       "      <td>-0.010469</td>\n",
       "      <td>-0.072524</td>\n",
       "      <td>0.000171</td>\n",
       "      <td>0.000199</td>\n",
       "      <td>0.000134</td>\n",
       "      <td>0.460151</td>\n",
       "      <td>...</td>\n",
       "      <td>0.460151</td>\n",
       "      <td>0.000182</td>\n",
       "      <td>0.000175</td>\n",
       "      <td>0.000171</td>\n",
       "      <td>0.000165</td>\n",
       "      <td>0.000143</td>\n",
       "      <td>0.451655</td>\n",
       "      <td>0.000165</td>\n",
       "      <td>0.976417</td>\n",
       "      <td>0.476585</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Intel Core i5 Dual-core (2 Core) 2 GHz - 8 GB LPDDR3 - 256 GB SSD - Mac OS X 10.12 Sierra - 2560 x 1600 - In-plane Switching (IPS) Technology - Silver\"</th>\n",
       "      <td>0.292266</td>\n",
       "      <td>-0.162834</td>\n",
       "      <td>0.037724</td>\n",
       "      <td>0.038479</td>\n",
       "      <td>-0.020045</td>\n",
       "      <td>-0.204223</td>\n",
       "      <td>0.038479</td>\n",
       "      <td>0.044743</td>\n",
       "      <td>0.030062</td>\n",
       "      <td>0.015085</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.083058</td>\n",
       "      <td>0.040935</td>\n",
       "      <td>0.039298</td>\n",
       "      <td>0.038479</td>\n",
       "      <td>0.036999</td>\n",
       "      <td>0.032066</td>\n",
       "      <td>-0.081525</td>\n",
       "      <td>0.036999</td>\n",
       "      <td>0.122202</td>\n",
       "      <td>-0.111837</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Apple MacBook Pro with Touch Bar - 13.3 - Core i5 - 8 GB RAM - 512 GB SSD - English\"</th>\n",
       "      <td>-6.057361</td>\n",
       "      <td>4.128415</td>\n",
       "      <td>0.070805</td>\n",
       "      <td>0.072221</td>\n",
       "      <td>-0.191770</td>\n",
       "      <td>0.767078</td>\n",
       "      <td>0.072221</td>\n",
       "      <td>0.083978</td>\n",
       "      <td>0.056416</td>\n",
       "      <td>5.019072</td>\n",
       "      <td>...</td>\n",
       "      <td>4.562793</td>\n",
       "      <td>0.076831</td>\n",
       "      <td>0.073757</td>\n",
       "      <td>0.072221</td>\n",
       "      <td>0.069443</td>\n",
       "      <td>0.060184</td>\n",
       "      <td>4.478557</td>\n",
       "      <td>0.069443</td>\n",
       "      <td>4.647372</td>\n",
       "      <td>4.725750</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Laptop Intel Core i7 16GB Memory NVIDIA GeForce GTX 950M - 2TB HDD + 512GB SSD - Sandblasted matte black aluminum\"</th>\n",
       "      <td>-3.791269</td>\n",
       "      <td>1.987359</td>\n",
       "      <td>-0.027733</td>\n",
       "      <td>-0.028288</td>\n",
       "      <td>0.066467</td>\n",
       "      <td>-1.861072</td>\n",
       "      <td>-0.028288</td>\n",
       "      <td>-0.032893</td>\n",
       "      <td>-0.022100</td>\n",
       "      <td>1.581453</td>\n",
       "      <td>...</td>\n",
       "      <td>1.792313</td>\n",
       "      <td>-0.030093</td>\n",
       "      <td>-0.028890</td>\n",
       "      <td>-0.028288</td>\n",
       "      <td>-0.027200</td>\n",
       "      <td>-0.023573</td>\n",
       "      <td>1.759224</td>\n",
       "      <td>-0.027200</td>\n",
       "      <td>1.730083</td>\n",
       "      <td>1.856324</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8GB Memory - NVIDIA GeForce GTX 1050 - 1TB + 8GB Hybrid Hard Drive - Red\"</th>\n",
       "      <td>0.234237</td>\n",
       "      <td>0.456762</td>\n",
       "      <td>0.005691</td>\n",
       "      <td>0.005805</td>\n",
       "      <td>-0.063651</td>\n",
       "      <td>1.753949</td>\n",
       "      <td>0.005805</td>\n",
       "      <td>0.006750</td>\n",
       "      <td>0.004535</td>\n",
       "      <td>0.269238</td>\n",
       "      <td>...</td>\n",
       "      <td>0.201928</td>\n",
       "      <td>0.006176</td>\n",
       "      <td>0.005929</td>\n",
       "      <td>0.005805</td>\n",
       "      <td>0.005582</td>\n",
       "      <td>0.004838</td>\n",
       "      <td>0.198201</td>\n",
       "      <td>0.005582</td>\n",
       "      <td>0.035562</td>\n",
       "      <td>0.209140</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - Intel Core i7 - 16GB Memory - 256GB Solid State Drive - Silver\"</th>\n",
       "      <td>-0.185655</td>\n",
       "      <td>2.172169</td>\n",
       "      <td>0.012936</td>\n",
       "      <td>0.013195</td>\n",
       "      <td>-0.001947</td>\n",
       "      <td>0.060540</td>\n",
       "      <td>0.013195</td>\n",
       "      <td>0.015342</td>\n",
       "      <td>0.010304</td>\n",
       "      <td>0.672201</td>\n",
       "      <td>...</td>\n",
       "      <td>0.672201</td>\n",
       "      <td>0.014037</td>\n",
       "      <td>0.013475</td>\n",
       "      <td>0.013195</td>\n",
       "      <td>0.012687</td>\n",
       "      <td>0.010995</td>\n",
       "      <td>0.659791</td>\n",
       "      <td>0.012687</td>\n",
       "      <td>0.489044</td>\n",
       "      <td>0.696208</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-6700HQ 16GB 1TB SSD GTX 960M\"</th>\n",
       "      <td>4.655837</td>\n",
       "      <td>0.358377</td>\n",
       "      <td>0.023712</td>\n",
       "      <td>0.024186</td>\n",
       "      <td>1.697995</td>\n",
       "      <td>-1.165291</td>\n",
       "      <td>0.024186</td>\n",
       "      <td>0.028123</td>\n",
       "      <td>0.018895</td>\n",
       "      <td>-2.059638</td>\n",
       "      <td>...</td>\n",
       "      <td>0.475301</td>\n",
       "      <td>0.025730</td>\n",
       "      <td>0.024700</td>\n",
       "      <td>0.024186</td>\n",
       "      <td>0.023256</td>\n",
       "      <td>0.020155</td>\n",
       "      <td>0.466526</td>\n",
       "      <td>0.023256</td>\n",
       "      <td>0.448251</td>\n",
       "      <td>0.492276</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i77700hq/nvidia Gtx 1060/16gb/512gb Ssd\"</th>\n",
       "      <td>11.470129</td>\n",
       "      <td>-1.070180</td>\n",
       "      <td>0.029708</td>\n",
       "      <td>0.030303</td>\n",
       "      <td>-0.007217</td>\n",
       "      <td>0.566706</td>\n",
       "      <td>0.030303</td>\n",
       "      <td>0.035236</td>\n",
       "      <td>0.023667</td>\n",
       "      <td>-0.851602</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.993535</td>\n",
       "      <td>0.032237</td>\n",
       "      <td>0.030947</td>\n",
       "      <td>0.030303</td>\n",
       "      <td>0.029137</td>\n",
       "      <td>0.025252</td>\n",
       "      <td>-0.975193</td>\n",
       "      <td>0.029137</td>\n",
       "      <td>1.204705</td>\n",
       "      <td>-0.955517</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i77700hq/nvidia Gtx1070/16gb/1tb Hdd+128gb Ssd\"</th>\n",
       "      <td>0.462947</td>\n",
       "      <td>-0.451373</td>\n",
       "      <td>0.040567</td>\n",
       "      <td>0.041379</td>\n",
       "      <td>-0.141526</td>\n",
       "      <td>5.849734</td>\n",
       "      <td>0.041379</td>\n",
       "      <td>0.048115</td>\n",
       "      <td>0.032334</td>\n",
       "      <td>1.346935</td>\n",
       "      <td>...</td>\n",
       "      <td>1.047616</td>\n",
       "      <td>0.044020</td>\n",
       "      <td>0.042259</td>\n",
       "      <td>0.041379</td>\n",
       "      <td>0.039787</td>\n",
       "      <td>0.034482</td>\n",
       "      <td>1.028276</td>\n",
       "      <td>0.039787</td>\n",
       "      <td>1.778393</td>\n",
       "      <td>1.162533</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Details About Apple Macbook Air 13.3 Laptop (early 2015) 2.2ghz Core I7 8gb 256gb\"</th>\n",
       "      <td>0.052735</td>\n",
       "      <td>0.205667</td>\n",
       "      <td>0.015429</td>\n",
       "      <td>0.015738</td>\n",
       "      <td>0.064486</td>\n",
       "      <td>-0.716511</td>\n",
       "      <td>0.015738</td>\n",
       "      <td>0.018299</td>\n",
       "      <td>0.012292</td>\n",
       "      <td>0.068192</td>\n",
       "      <td>...</td>\n",
       "      <td>0.204576</td>\n",
       "      <td>0.016742</td>\n",
       "      <td>0.016072</td>\n",
       "      <td>0.015738</td>\n",
       "      <td>0.015132</td>\n",
       "      <td>0.013115</td>\n",
       "      <td>0.200800</td>\n",
       "      <td>0.015132</td>\n",
       "      <td>0.192934</td>\n",
       "      <td>0.176569</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Details About Asus Q304 13.3 Laptop I5 2.5 Ghz 6gb 1tb Hdd Win 10 (q304uabhi5t11)\"</th>\n",
       "      <td>0.033829</td>\n",
       "      <td>0.031119</td>\n",
       "      <td>0.003950</td>\n",
       "      <td>0.004029</td>\n",
       "      <td>-0.013789</td>\n",
       "      <td>0.330933</td>\n",
       "      <td>0.004029</td>\n",
       "      <td>0.004685</td>\n",
       "      <td>0.003147</td>\n",
       "      <td>0.087488</td>\n",
       "      <td>...</td>\n",
       "      <td>0.087488</td>\n",
       "      <td>0.004286</td>\n",
       "      <td>0.004115</td>\n",
       "      <td>0.004029</td>\n",
       "      <td>0.003874</td>\n",
       "      <td>0.003357</td>\n",
       "      <td>0.085873</td>\n",
       "      <td>0.003874</td>\n",
       "      <td>0.099011</td>\n",
       "      <td>0.067959</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Details About Dell Inspiron I75675650blkpus 15.6 Laptop I57300hq\"</th>\n",
       "      <td>0.443587</td>\n",
       "      <td>0.001270</td>\n",
       "      <td>0.024548</td>\n",
       "      <td>0.025039</td>\n",
       "      <td>-0.045202</td>\n",
       "      <td>-0.361620</td>\n",
       "      <td>0.025039</td>\n",
       "      <td>0.029115</td>\n",
       "      <td>0.019565</td>\n",
       "      <td>-0.143401</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.286802</td>\n",
       "      <td>0.026637</td>\n",
       "      <td>0.025572</td>\n",
       "      <td>0.025039</td>\n",
       "      <td>0.024076</td>\n",
       "      <td>0.020866</td>\n",
       "      <td>-0.281507</td>\n",
       "      <td>0.024076</td>\n",
       "      <td>-0.202860</td>\n",
       "      <td>-0.297045</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Details About Openbox Excellent: Asus Rog Gl502vm 15.6 Laptop Intel Core I7 12gb Me...\"</th>\n",
       "      <td>-0.802921</td>\n",
       "      <td>-2.013038</td>\n",
       "      <td>0.046185</td>\n",
       "      <td>0.047109</td>\n",
       "      <td>-0.093508</td>\n",
       "      <td>-3.761095</td>\n",
       "      <td>0.047109</td>\n",
       "      <td>0.054777</td>\n",
       "      <td>0.036804</td>\n",
       "      <td>-0.791055</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.988819</td>\n",
       "      <td>0.050115</td>\n",
       "      <td>0.048111</td>\n",
       "      <td>0.047109</td>\n",
       "      <td>0.045297</td>\n",
       "      <td>0.039257</td>\n",
       "      <td>-0.970564</td>\n",
       "      <td>0.045297</td>\n",
       "      <td>-0.615480</td>\n",
       "      <td>-1.024134</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Details About Razer Blade Laptop 14 Full Hd (i77700hq\"</th>\n",
       "      <td>0.701481</td>\n",
       "      <td>-0.373060</td>\n",
       "      <td>0.085978</td>\n",
       "      <td>0.087698</td>\n",
       "      <td>-0.045686</td>\n",
       "      <td>-0.485214</td>\n",
       "      <td>0.087698</td>\n",
       "      <td>0.101974</td>\n",
       "      <td>0.068514</td>\n",
       "      <td>0.034370</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.164925</td>\n",
       "      <td>0.093296</td>\n",
       "      <td>0.089564</td>\n",
       "      <td>0.087698</td>\n",
       "      <td>0.084325</td>\n",
       "      <td>0.073082</td>\n",
       "      <td>-0.161880</td>\n",
       "      <td>0.084325</td>\n",
       "      <td>0.279970</td>\n",
       "      <td>-0.170815</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>HP - ProBook 14 Laptop - Intel Core i5 - 4GB Memory - 500GB Hard Drive - Black\"</th>\n",
       "      <td>0.109225</td>\n",
       "      <td>-0.053247</td>\n",
       "      <td>0.015131</td>\n",
       "      <td>0.015434</td>\n",
       "      <td>-0.008041</td>\n",
       "      <td>-0.089042</td>\n",
       "      <td>0.015434</td>\n",
       "      <td>0.017946</td>\n",
       "      <td>0.012057</td>\n",
       "      <td>0.006049</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.033318</td>\n",
       "      <td>0.016419</td>\n",
       "      <td>0.015762</td>\n",
       "      <td>0.015434</td>\n",
       "      <td>0.014840</td>\n",
       "      <td>0.012861</td>\n",
       "      <td>-0.032703</td>\n",
       "      <td>0.014840</td>\n",
       "      <td>0.039960</td>\n",
       "      <td>-0.034505</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>HP 15-AY103DX 15.6 Touchscreen Touch Screen HD Laptop Notebook PC Computer 7th Gen i5-7200U Kaby Lake 8GB Memory 1TB HDD Hard Drive Windows 10\"</th>\n",
       "      <td>0.030399</td>\n",
       "      <td>-0.018311</td>\n",
       "      <td>0.004622</td>\n",
       "      <td>0.004715</td>\n",
       "      <td>-0.002456</td>\n",
       "      <td>-0.024782</td>\n",
       "      <td>0.004715</td>\n",
       "      <td>0.005482</td>\n",
       "      <td>0.003684</td>\n",
       "      <td>0.001848</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.010177</td>\n",
       "      <td>0.005016</td>\n",
       "      <td>0.004815</td>\n",
       "      <td>0.004715</td>\n",
       "      <td>0.004534</td>\n",
       "      <td>0.003929</td>\n",
       "      <td>-0.009989</td>\n",
       "      <td>0.004534</td>\n",
       "      <td>0.017027</td>\n",
       "      <td>-0.010541</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Lenovo - 100S-14IBR 14 Laptop - Intel Celeron - 2GB Memory - 32GB eMMC Flash Memory - Navy blue\"</th>\n",
       "      <td>-0.131827</td>\n",
       "      <td>0.128531</td>\n",
       "      <td>-0.001599</td>\n",
       "      <td>-0.001631</td>\n",
       "      <td>-0.004748</td>\n",
       "      <td>0.078809</td>\n",
       "      <td>-0.001631</td>\n",
       "      <td>-0.001897</td>\n",
       "      <td>-0.001274</td>\n",
       "      <td>0.102279</td>\n",
       "      <td>...</td>\n",
       "      <td>0.102279</td>\n",
       "      <td>-0.001735</td>\n",
       "      <td>-0.001666</td>\n",
       "      <td>-0.001631</td>\n",
       "      <td>-0.001569</td>\n",
       "      <td>-0.001359</td>\n",
       "      <td>0.100391</td>\n",
       "      <td>-0.001569</td>\n",
       "      <td>0.086813</td>\n",
       "      <td>0.105932</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Laptop - Intel Core i5 - 8GB Memory - 128GB Solid State Drive - Silver Tablet PC Notebook 80V6000PUS\"</th>\n",
       "      <td>0.230940</td>\n",
       "      <td>0.337750</td>\n",
       "      <td>-0.005592</td>\n",
       "      <td>-0.005704</td>\n",
       "      <td>0.047067</td>\n",
       "      <td>1.987255</td>\n",
       "      <td>-0.005704</td>\n",
       "      <td>-0.006633</td>\n",
       "      <td>-0.004456</td>\n",
       "      <td>0.447944</td>\n",
       "      <td>...</td>\n",
       "      <td>0.497716</td>\n",
       "      <td>-0.006068</td>\n",
       "      <td>-0.005826</td>\n",
       "      <td>-0.005704</td>\n",
       "      <td>-0.005485</td>\n",
       "      <td>-0.004754</td>\n",
       "      <td>0.488527</td>\n",
       "      <td>-0.005485</td>\n",
       "      <td>0.563268</td>\n",
       "      <td>0.541266</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Touch Laptop (Pentium 4405Y, 4 GB Ram, 128 GB SSD, Windows 10), SilverNotebook PC Computer Tablet Touchscreen Screen 2-in-1</th>\n",
       "      <td>0.023135</td>\n",
       "      <td>-0.009756</td>\n",
       "      <td>0.002462</td>\n",
       "      <td>0.002511</td>\n",
       "      <td>-0.001308</td>\n",
       "      <td>-0.012574</td>\n",
       "      <td>0.002511</td>\n",
       "      <td>0.002919</td>\n",
       "      <td>0.001962</td>\n",
       "      <td>0.000984</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.005421</td>\n",
       "      <td>0.002671</td>\n",
       "      <td>0.002564</td>\n",
       "      <td>0.002511</td>\n",
       "      <td>0.002414</td>\n",
       "      <td>0.002092</td>\n",
       "      <td>-0.005321</td>\n",
       "      <td>0.002414</td>\n",
       "      <td>0.009072</td>\n",
       "      <td>-0.005614</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD Touch - Pentium 4405U 2.1Ghz - 4GB - 500GB\"</th>\n",
       "      <td>-0.058398</td>\n",
       "      <td>-0.250529</td>\n",
       "      <td>0.005981</td>\n",
       "      <td>0.006100</td>\n",
       "      <td>-0.009521</td>\n",
       "      <td>-0.539550</td>\n",
       "      <td>0.006100</td>\n",
       "      <td>0.007093</td>\n",
       "      <td>0.004766</td>\n",
       "      <td>-0.120824</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.151030</td>\n",
       "      <td>0.006490</td>\n",
       "      <td>0.006230</td>\n",
       "      <td>0.006100</td>\n",
       "      <td>0.005866</td>\n",
       "      <td>0.005084</td>\n",
       "      <td>-0.148242</td>\n",
       "      <td>0.005866</td>\n",
       "      <td>-0.119645</td>\n",
       "      <td>-0.156424</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MSI - WS Series 15.6 Laptop - Intel Core i7 - 16GB Memory - 256GB Solid State Drive + 2TB Hard Drive - Aluminum Black\"</th>\n",
       "      <td>1.034087</td>\n",
       "      <td>-0.465339</td>\n",
       "      <td>0.116978</td>\n",
       "      <td>0.119318</td>\n",
       "      <td>-0.064847</td>\n",
       "      <td>-0.734928</td>\n",
       "      <td>0.119318</td>\n",
       "      <td>0.138741</td>\n",
       "      <td>0.102800</td>\n",
       "      <td>0.051574</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.205720</td>\n",
       "      <td>0.126934</td>\n",
       "      <td>0.121856</td>\n",
       "      <td>0.119318</td>\n",
       "      <td>0.114729</td>\n",
       "      <td>0.099431</td>\n",
       "      <td>-0.201922</td>\n",
       "      <td>0.114729</td>\n",
       "      <td>0.465630</td>\n",
       "      <td>-0.319601</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5ghz 16gb Ddr4 2tb Hd 940mx2gb W10\"</th>\n",
       "      <td>0.070767</td>\n",
       "      <td>-0.035051</td>\n",
       "      <td>0.008846</td>\n",
       "      <td>0.009023</td>\n",
       "      <td>-0.004702</td>\n",
       "      <td>-0.051280</td>\n",
       "      <td>0.009023</td>\n",
       "      <td>0.010492</td>\n",
       "      <td>0.007049</td>\n",
       "      <td>0.003537</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.019479</td>\n",
       "      <td>0.009599</td>\n",
       "      <td>0.009215</td>\n",
       "      <td>0.009023</td>\n",
       "      <td>0.008676</td>\n",
       "      <td>0.007519</td>\n",
       "      <td>-0.019120</td>\n",
       "      <td>0.008676</td>\n",
       "      <td>0.032591</td>\n",
       "      <td>-0.020175</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen Laptop - Intel Core i7 - 32GB Memory - NVIDIA GeForce GTX 1080 - 1TB SSD - Black\"</th>\n",
       "      <td>-2.502744</td>\n",
       "      <td>1.355653</td>\n",
       "      <td>0.013867</td>\n",
       "      <td>0.014145</td>\n",
       "      <td>-0.059916</td>\n",
       "      <td>-0.831225</td>\n",
       "      <td>0.014145</td>\n",
       "      <td>0.016447</td>\n",
       "      <td>0.011051</td>\n",
       "      <td>1.438359</td>\n",
       "      <td>...</td>\n",
       "      <td>1.438359</td>\n",
       "      <td>0.015048</td>\n",
       "      <td>0.014446</td>\n",
       "      <td>0.014145</td>\n",
       "      <td>0.013601</td>\n",
       "      <td>0.011787</td>\n",
       "      <td>1.411804</td>\n",
       "      <td>0.013601</td>\n",
       "      <td>-2.238226</td>\n",
       "      <td>1.303513</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Samsung - Notebook 5 15.6 Touch-Screen Laptop - Intel Core i5 - 8GB Memory - NVIDIA GeForce 920MX - 1TB Hard Drive - Solid black\"</th>\n",
       "      <td>-0.100275</td>\n",
       "      <td>0.195536</td>\n",
       "      <td>0.008051</td>\n",
       "      <td>0.008213</td>\n",
       "      <td>-0.008680</td>\n",
       "      <td>-0.098095</td>\n",
       "      <td>0.008213</td>\n",
       "      <td>0.009549</td>\n",
       "      <td>0.006416</td>\n",
       "      <td>0.207466</td>\n",
       "      <td>...</td>\n",
       "      <td>0.155599</td>\n",
       "      <td>0.008737</td>\n",
       "      <td>0.008387</td>\n",
       "      <td>0.008213</td>\n",
       "      <td>0.007897</td>\n",
       "      <td>0.006844</td>\n",
       "      <td>0.152727</td>\n",
       "      <td>0.007897</td>\n",
       "      <td>0.234790</td>\n",
       "      <td>0.188016</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>39 rows × 39 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                    12 MacBook (Mid 2017, Gold)_CPE  \\\n",
       "name                                                                                  \n",
       "12 MacBook (Mid 2017, Gold)                                               -4.266917   \n",
       "12 MacBook (Mid 2017, Silver)                                            -10.606051   \n",
       "12.3 32GB Multi-Touch 2-in-1 Chromebook Plus                              -0.162390   \n",
       "13.3 MacBook Air (Mid 2017, Silver)                                       -0.409262   \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Sil...                         1.074186   \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Spa...                         1.055726   \n",
       "ASUS VivoBook Max X541SA 15.6Inch Laptop Intel ...                         0.183928   \n",
       "Acer - 2-in-1 15.6 Refurbished Touch-Screen Lap...                         0.106052   \n",
       "Acer 15.6 Chromebook CB5-571-C4G4                                          0.237977   \n",
       "Alienware - R3 17.3 Laptop - Intel Core i7 - 16...                         0.620170   \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                         0.653131   \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                         0.650980   \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                        -3.795513   \n",
       "Apple 13.3 MacBook Air ( Silver)\"                                          0.220906   \n",
       "Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 G...                         8.851763   \n",
       "Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Int...                         0.292266   \n",
       "Apple MacBook Pro with Touch Bar - 13.3 - Core ...                        -6.057361   \n",
       "Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Lap...                        -3.791269   \n",
       "Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8...                         0.234237   \n",
       "Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - In...                        -0.185655   \n",
       "Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-...                         4.655837   \n",
       "Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i...                        11.470129   \n",
       "Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i...                         0.462947   \n",
       "Details About Apple Macbook Air 13.3 Laptop (ea...                         0.052735   \n",
       "Details About Asus Q304 13.3 Laptop I5 2.5 Ghz ...                         0.033829   \n",
       "Details About Dell Inspiron I75675650blkpus 15....                         0.443587   \n",
       "Details About Openbox Excellent: Asus Rog Gl502...                        -0.802921   \n",
       "Details About Razer Blade Laptop 14 Full Hd (i7...                         0.701481   \n",
       "Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"                           0.000000   \n",
       "HP - ProBook 14 Laptop - Intel Core i5 - 4GB Me...                         0.109225   \n",
       "HP 15-AY103DX 15.6 Touchscreen Touch Screen HD ...                         0.030399   \n",
       "Lenovo - 100S-14IBR 14 Laptop - Intel Celeron -...                        -0.131827   \n",
       "Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Lapt...                         0.230940   \n",
       "Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Tou...                         0.023135   \n",
       "Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD To...                        -0.058398   \n",
       "MSI - WS Series 15.6 Laptop - Intel Core i7 - 1...                         1.034087   \n",
       "New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5gh...                         0.070767   \n",
       "Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen...                        -2.502744   \n",
       "Samsung - Notebook 5 15.6 Touch-Screen Laptop -...                        -0.100275   \n",
       "\n",
       "                                                    12 MacBook (Mid 2017, Silver)_CPE  \\\n",
       "name                                                                                    \n",
       "12 MacBook (Mid 2017, Gold)                                                 -1.904690   \n",
       "12 MacBook (Mid 2017, Silver)                                                0.500366   \n",
       "12.3 32GB Multi-Touch 2-in-1 Chromebook Plus                                 0.158330   \n",
       "13.3 MacBook Air (Mid 2017, Silver)                                          0.675283   \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Sil...                          -0.483384   \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Spa...                          -0.147048   \n",
       "ASUS VivoBook Max X541SA 15.6Inch Laptop Intel ...                           0.015311   \n",
       "Acer - 2-in-1 15.6 Refurbished Touch-Screen Lap...                          -0.051700   \n",
       "Acer 15.6 Chromebook CB5-571-C4G4                                            0.046406   \n",
       "Alienware - R3 17.3 Laptop - Intel Core i7 - 16...                          -0.362799   \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                          -1.091662   \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                          -1.088066   \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                          -1.973667   \n",
       "Apple 13.3 MacBook Air ( Silver)\"                                           -0.143589   \n",
       "Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 G...                           0.520430   \n",
       "Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Int...                          -0.162834   \n",
       "Apple MacBook Pro with Touch Bar - 13.3 - Core ...                           4.128415   \n",
       "Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Lap...                           1.987359   \n",
       "Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8...                           0.456762   \n",
       "Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - In...                           2.172169   \n",
       "Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-...                           0.358377   \n",
       "Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i...                          -1.070180   \n",
       "Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i...                          -0.451373   \n",
       "Details About Apple Macbook Air 13.3 Laptop (ea...                           0.205667   \n",
       "Details About Asus Q304 13.3 Laptop I5 2.5 Ghz ...                           0.031119   \n",
       "Details About Dell Inspiron I75675650blkpus 15....                           0.001270   \n",
       "Details About Openbox Excellent: Asus Rog Gl502...                          -2.013038   \n",
       "Details About Razer Blade Laptop 14 Full Hd (i7...                          -0.373060   \n",
       "Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"                             0.000000   \n",
       "HP - ProBook 14 Laptop - Intel Core i5 - 4GB Me...                          -0.053247   \n",
       "HP 15-AY103DX 15.6 Touchscreen Touch Screen HD ...                          -0.018311   \n",
       "Lenovo - 100S-14IBR 14 Laptop - Intel Celeron -...                           0.128531   \n",
       "Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Lapt...                           0.337750   \n",
       "Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Tou...                          -0.009756   \n",
       "Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD To...                          -0.250529   \n",
       "MSI - WS Series 15.6 Laptop - Intel Core i7 - 1...                          -0.465339   \n",
       "New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5gh...                          -0.035051   \n",
       "Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen...                           1.355653   \n",
       "Samsung - Notebook 5 15.6 Touch-Screen Laptop -...                           0.195536   \n",
       "\n",
       "                                                    12.3 32GB Multi-Touch 2-in-1 Chromebook Plus_CPE  \\\n",
       "name                                                                                                   \n",
       "12 MacBook (Mid 2017, Gold)                                                                -0.000684   \n",
       "12 MacBook (Mid 2017, Silver)                                                              -0.000385   \n",
       "12.3 32GB Multi-Touch 2-in-1 Chromebook Plus                                                0.002599   \n",
       "13.3 MacBook Air (Mid 2017, Silver)                                                         0.008963   \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Sil...                                          0.121514   \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Spa...                                          0.107613   \n",
       "ASUS VivoBook Max X541SA 15.6Inch Laptop Intel ...                                          0.003193   \n",
       "Acer - 2-in-1 15.6 Refurbished Touch-Screen Lap...                                          0.013705   \n",
       "Acer 15.6 Chromebook CB5-571-C4G4                                                           0.001788   \n",
       "Alienware - R3 17.3 Laptop - Intel Core i7 - 16...                                          0.079628   \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          0.010209   \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          0.010175   \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          0.039965   \n",
       "Apple 13.3 MacBook Air ( Silver)\"                                                           0.028366   \n",
       "Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 G...                                          0.000168   \n",
       "Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Int...                                          0.037724   \n",
       "Apple MacBook Pro with Touch Bar - 13.3 - Core ...                                          0.070805   \n",
       "Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Lap...                                         -0.027733   \n",
       "Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8...                                          0.005691   \n",
       "Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - In...                                          0.012936   \n",
       "Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-...                                          0.023712   \n",
       "Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i...                                          0.029708   \n",
       "Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i...                                          0.040567   \n",
       "Details About Apple Macbook Air 13.3 Laptop (ea...                                          0.015429   \n",
       "Details About Asus Q304 13.3 Laptop I5 2.5 Ghz ...                                          0.003950   \n",
       "Details About Dell Inspiron I75675650blkpus 15....                                          0.024548   \n",
       "Details About Openbox Excellent: Asus Rog Gl502...                                          0.046185   \n",
       "Details About Razer Blade Laptop 14 Full Hd (i7...                                          0.085978   \n",
       "Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"                                            0.000000   \n",
       "HP - ProBook 14 Laptop - Intel Core i5 - 4GB Me...                                          0.015131   \n",
       "HP 15-AY103DX 15.6 Touchscreen Touch Screen HD ...                                          0.004622   \n",
       "Lenovo - 100S-14IBR 14 Laptop - Intel Celeron -...                                         -0.001599   \n",
       "Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Lapt...                                         -0.005592   \n",
       "Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Tou...                                          0.002462   \n",
       "Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD To...                                          0.005981   \n",
       "MSI - WS Series 15.6 Laptop - Intel Core i7 - 1...                                          0.116978   \n",
       "New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5gh...                                          0.008846   \n",
       "Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen...                                          0.013867   \n",
       "Samsung - Notebook 5 15.6 Touch-Screen Laptop -...                                          0.008051   \n",
       "\n",
       "                                                    13.3 MacBook Air (Mid 2017, Silver)_CPE  \\\n",
       "name                                                                                          \n",
       "12 MacBook (Mid 2017, Gold)                                                       -0.000697   \n",
       "12 MacBook (Mid 2017, Silver)                                                     -0.000392   \n",
       "12.3 32GB Multi-Touch 2-in-1 Chromebook Plus                                       0.002651   \n",
       "13.3 MacBook Air (Mid 2017, Silver)                                                0.009142   \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Sil...                                 0.123944   \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Spa...                                 0.109765   \n",
       "ASUS VivoBook Max X541SA 15.6Inch Laptop Intel ...                                 0.003257   \n",
       "Acer - 2-in-1 15.6 Refurbished Touch-Screen Lap...                                 0.013979   \n",
       "Acer 15.6 Chromebook CB5-571-C4G4                                                  0.001824   \n",
       "Alienware - R3 17.3 Laptop - Intel Core i7 - 16...                                 0.081221   \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                 0.010413   \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                 0.010378   \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                 0.040764   \n",
       "Apple 13.3 MacBook Air ( Silver)\"                                                  0.028933   \n",
       "Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 G...                                 0.000171   \n",
       "Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Int...                                 0.038479   \n",
       "Apple MacBook Pro with Touch Bar - 13.3 - Core ...                                 0.072221   \n",
       "Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Lap...                                -0.028288   \n",
       "Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8...                                 0.005805   \n",
       "Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - In...                                 0.013195   \n",
       "Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-...                                 0.024186   \n",
       "Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i...                                 0.030303   \n",
       "Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i...                                 0.041379   \n",
       "Details About Apple Macbook Air 13.3 Laptop (ea...                                 0.015738   \n",
       "Details About Asus Q304 13.3 Laptop I5 2.5 Ghz ...                                 0.004029   \n",
       "Details About Dell Inspiron I75675650blkpus 15....                                 0.025039   \n",
       "Details About Openbox Excellent: Asus Rog Gl502...                                 0.047109   \n",
       "Details About Razer Blade Laptop 14 Full Hd (i7...                                 0.087698   \n",
       "Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"                                   0.000000   \n",
       "HP - ProBook 14 Laptop - Intel Core i5 - 4GB Me...                                 0.015434   \n",
       "HP 15-AY103DX 15.6 Touchscreen Touch Screen HD ...                                 0.004715   \n",
       "Lenovo - 100S-14IBR 14 Laptop - Intel Celeron -...                                -0.001631   \n",
       "Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Lapt...                                -0.005704   \n",
       "Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Tou...                                 0.002511   \n",
       "Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD To...                                 0.006100   \n",
       "MSI - WS Series 15.6 Laptop - Intel Core i7 - 1...                                 0.119318   \n",
       "New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5gh...                                 0.009023   \n",
       "Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen...                                 0.014145   \n",
       "Samsung - Notebook 5 15.6 Touch-Screen Laptop -...                                 0.008213   \n",
       "\n",
       "                                                    15.4 MacBook Pro with Touch Bar (Late 2016, Silver)_CPE  \\\n",
       "name                                                                                                          \n",
       "12 MacBook (Mid 2017, Gold)                                                                  0.041909         \n",
       "12 MacBook (Mid 2017, Silver)                                                                0.034864         \n",
       "12.3 32GB Multi-Touch 2-in-1 Chromebook Plus                                                -0.022064         \n",
       "13.3 MacBook Air (Mid 2017, Silver)                                                         -0.025664         \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Sil...                                          -0.067361         \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Spa...                                          -0.122949         \n",
       "ASUS VivoBook Max X541SA 15.6Inch Laptop Intel ...                                           0.015783         \n",
       "Acer - 2-in-1 15.6 Refurbished Touch-Screen Lap...                                          -0.007284         \n",
       "Acer 15.6 Chromebook CB5-571-C4G4                                                            0.012934         \n",
       "Alienware - R3 17.3 Laptop - Intel Core i7 - 16...                                          -0.042311         \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          -0.001776         \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          -0.001770         \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          -0.154708         \n",
       "Apple 13.3 MacBook Air ( Silver)\"                                                           -0.015070         \n",
       "Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 G...                                          -0.010469         \n",
       "Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Int...                                          -0.020045         \n",
       "Apple MacBook Pro with Touch Bar - 13.3 - Core ...                                          -0.191770         \n",
       "Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Lap...                                           0.066467         \n",
       "Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8...                                          -0.063651         \n",
       "Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - In...                                          -0.001947         \n",
       "Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-...                                           1.697995         \n",
       "Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i...                                          -0.007217         \n",
       "Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i...                                          -0.141526         \n",
       "Details About Apple Macbook Air 13.3 Laptop (ea...                                           0.064486         \n",
       "Details About Asus Q304 13.3 Laptop I5 2.5 Ghz ...                                          -0.013789         \n",
       "Details About Dell Inspiron I75675650blkpus 15....                                          -0.045202         \n",
       "Details About Openbox Excellent: Asus Rog Gl502...                                          -0.093508         \n",
       "Details About Razer Blade Laptop 14 Full Hd (i7...                                          -0.045686         \n",
       "Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"                                             0.000000         \n",
       "HP - ProBook 14 Laptop - Intel Core i5 - 4GB Me...                                          -0.008041         \n",
       "HP 15-AY103DX 15.6 Touchscreen Touch Screen HD ...                                          -0.002456         \n",
       "Lenovo - 100S-14IBR 14 Laptop - Intel Celeron -...                                          -0.004748         \n",
       "Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Lapt...                                           0.047067         \n",
       "Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Tou...                                          -0.001308         \n",
       "Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD To...                                          -0.009521         \n",
       "MSI - WS Series 15.6 Laptop - Intel Core i7 - 1...                                          -0.064847         \n",
       "New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5gh...                                          -0.004702         \n",
       "Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen...                                          -0.059916         \n",
       "Samsung - Notebook 5 15.6 Touch-Screen Laptop -...                                          -0.008680         \n",
       "\n",
       "                                                    15.4 MacBook Pro with Touch Bar (Late 2016, Space Gray)_CPE  \\\n",
       "name                                                                                                              \n",
       "12 MacBook (Mid 2017, Gold)                                                                  0.307334             \n",
       "12 MacBook (Mid 2017, Silver)                                                                0.511337             \n",
       "12.3 32GB Multi-Touch 2-in-1 Chromebook Plus                                                -0.139738             \n",
       "13.3 MacBook Air (Mid 2017, Silver)                                                          0.239535             \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Sil...                                          -0.718519             \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Spa...                                           1.106545             \n",
       "ASUS VivoBook Max X541SA 15.6Inch Laptop Intel ...                                          -0.105222             \n",
       "Acer - 2-in-1 15.6 Refurbished Touch-Screen Lap...                                          -0.072046             \n",
       "Acer 15.6 Chromebook CB5-571-C4G4                                                            0.297472             \n",
       "Alienware - R3 17.3 Laptop - Intel Core i7 - 16...                                          -0.438164             \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.963470             \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.960296             \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          -1.650223             \n",
       "Apple 13.3 MacBook Air ( Silver)\"                                                           -0.160077             \n",
       "Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 G...                                          -0.072524             \n",
       "Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Int...                                          -0.204223             \n",
       "Apple MacBook Pro with Touch Bar - 13.3 - Core ...                                           0.767078             \n",
       "Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Lap...                                          -1.861072             \n",
       "Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8...                                           1.753949             \n",
       "Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - In...                                           0.060540             \n",
       "Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-...                                          -1.165291             \n",
       "Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i...                                           0.566706             \n",
       "Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i...                                           5.849734             \n",
       "Details About Apple Macbook Air 13.3 Laptop (ea...                                          -0.716511             \n",
       "Details About Asus Q304 13.3 Laptop I5 2.5 Ghz ...                                           0.330933             \n",
       "Details About Dell Inspiron I75675650blkpus 15....                                          -0.361620             \n",
       "Details About Openbox Excellent: Asus Rog Gl502...                                          -3.761095             \n",
       "Details About Razer Blade Laptop 14 Full Hd (i7...                                          -0.485214             \n",
       "Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"                                             0.000000             \n",
       "HP - ProBook 14 Laptop - Intel Core i5 - 4GB Me...                                          -0.089042             \n",
       "HP 15-AY103DX 15.6 Touchscreen Touch Screen HD ...                                          -0.024782             \n",
       "Lenovo - 100S-14IBR 14 Laptop - Intel Celeron -...                                           0.078809             \n",
       "Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Lapt...                                           1.987255             \n",
       "Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Tou...                                          -0.012574             \n",
       "Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD To...                                          -0.539550             \n",
       "MSI - WS Series 15.6 Laptop - Intel Core i7 - 1...                                          -0.734928             \n",
       "New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5gh...                                          -0.051280             \n",
       "Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen...                                          -0.831225             \n",
       "Samsung - Notebook 5 15.6 Touch-Screen Laptop -...                                          -0.098095             \n",
       "\n",
       "                                                    ASUS VivoBook Max X541SA 15.6Inch Laptop Intel Pentium 4GB Memory 500GB HD Matte IMR X541SA-PD0703X_CPE  \\\n",
       "name                                                                                                                                                          \n",
       "12 MacBook (Mid 2017, Gold)                                                                 -0.000697                                                         \n",
       "12 MacBook (Mid 2017, Silver)                                                               -0.000392                                                         \n",
       "12.3 32GB Multi-Touch 2-in-1 Chromebook Plus                                                 0.002651                                                         \n",
       "13.3 MacBook Air (Mid 2017, Silver)                                                          0.009142                                                         \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Sil...                                           0.123944                                                         \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Spa...                                           0.109765                                                         \n",
       "ASUS VivoBook Max X541SA 15.6Inch Laptop Intel ...                                           0.003257                                                         \n",
       "Acer - 2-in-1 15.6 Refurbished Touch-Screen Lap...                                           0.013979                                                         \n",
       "Acer 15.6 Chromebook CB5-571-C4G4                                                            0.001824                                                         \n",
       "Alienware - R3 17.3 Laptop - Intel Core i7 - 16...                                           0.081221                                                         \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.010413                                                         \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.010378                                                         \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.040764                                                         \n",
       "Apple 13.3 MacBook Air ( Silver)\"                                                            0.028933                                                         \n",
       "Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 G...                                           0.000171                                                         \n",
       "Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Int...                                           0.038479                                                         \n",
       "Apple MacBook Pro with Touch Bar - 13.3 - Core ...                                           0.072221                                                         \n",
       "Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Lap...                                          -0.028288                                                         \n",
       "Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8...                                           0.005805                                                         \n",
       "Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - In...                                           0.013195                                                         \n",
       "Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-...                                           0.024186                                                         \n",
       "Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i...                                           0.030303                                                         \n",
       "Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i...                                           0.041379                                                         \n",
       "Details About Apple Macbook Air 13.3 Laptop (ea...                                           0.015738                                                         \n",
       "Details About Asus Q304 13.3 Laptop I5 2.5 Ghz ...                                           0.004029                                                         \n",
       "Details About Dell Inspiron I75675650blkpus 15....                                           0.025039                                                         \n",
       "Details About Openbox Excellent: Asus Rog Gl502...                                           0.047109                                                         \n",
       "Details About Razer Blade Laptop 14 Full Hd (i7...                                           0.087698                                                         \n",
       "Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"                                             0.000000                                                         \n",
       "HP - ProBook 14 Laptop - Intel Core i5 - 4GB Me...                                           0.015434                                                         \n",
       "HP 15-AY103DX 15.6 Touchscreen Touch Screen HD ...                                           0.004715                                                         \n",
       "Lenovo - 100S-14IBR 14 Laptop - Intel Celeron -...                                          -0.001631                                                         \n",
       "Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Lapt...                                          -0.005704                                                         \n",
       "Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Tou...                                           0.002511                                                         \n",
       "Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD To...                                           0.006100                                                         \n",
       "MSI - WS Series 15.6 Laptop - Intel Core i7 - 1...                                           0.119318                                                         \n",
       "New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5gh...                                           0.009023                                                         \n",
       "Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen...                                           0.014145                                                         \n",
       "Samsung - Notebook 5 15.6 Touch-Screen Laptop -...                                           0.008213                                                         \n",
       "\n",
       "                                                    Acer - 2-in-1 15.6 Refurbished Touch-Screen Laptop - Intel Core i7 - 12GB Memory - NVIDIA GeForce 940MX - 1TB Hard Drive - Steel gray\"_CPE  \\\n",
       "name                                                                                                                                                                                             \n",
       "12 MacBook (Mid 2017, Gold)                                                                 -0.000811                                                                                            \n",
       "12 MacBook (Mid 2017, Silver)                                                               -0.000456                                                                                            \n",
       "12.3 32GB Multi-Touch 2-in-1 Chromebook Plus                                                 0.003083                                                                                            \n",
       "13.3 MacBook Air (Mid 2017, Silver)                                                          0.010631                                                                                            \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Sil...                                           0.144122                                                                                            \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Spa...                                           0.127634                                                                                            \n",
       "ASUS VivoBook Max X541SA 15.6Inch Laptop Intel ...                                           0.003787                                                                                            \n",
       "Acer - 2-in-1 15.6 Refurbished Touch-Screen Lap...                                           0.016255                                                                                            \n",
       "Acer 15.6 Chromebook CB5-571-C4G4                                                            0.002121                                                                                            \n",
       "Alienware - R3 17.3 Laptop - Intel Core i7 - 16...                                           0.094443                                                                                            \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.012108                                                                                            \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.012068                                                                                            \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.047400                                                                                            \n",
       "Apple 13.3 MacBook Air ( Silver)\"                                                            0.033643                                                                                            \n",
       "Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 G...                                           0.000199                                                                                            \n",
       "Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Int...                                           0.044743                                                                                            \n",
       "Apple MacBook Pro with Touch Bar - 13.3 - Core ...                                           0.083978                                                                                            \n",
       "Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Lap...                                          -0.032893                                                                                            \n",
       "Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8...                                           0.006750                                                                                            \n",
       "Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - In...                                           0.015342                                                                                            \n",
       "Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-...                                           0.028123                                                                                            \n",
       "Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i...                                           0.035236                                                                                            \n",
       "Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i...                                           0.048115                                                                                            \n",
       "Details About Apple Macbook Air 13.3 Laptop (ea...                                           0.018299                                                                                            \n",
       "Details About Asus Q304 13.3 Laptop I5 2.5 Ghz ...                                           0.004685                                                                                            \n",
       "Details About Dell Inspiron I75675650blkpus 15....                                           0.029115                                                                                            \n",
       "Details About Openbox Excellent: Asus Rog Gl502...                                           0.054777                                                                                            \n",
       "Details About Razer Blade Laptop 14 Full Hd (i7...                                           0.101974                                                                                            \n",
       "Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"                                             0.000000                                                                                            \n",
       "HP - ProBook 14 Laptop - Intel Core i5 - 4GB Me...                                           0.017946                                                                                            \n",
       "HP 15-AY103DX 15.6 Touchscreen Touch Screen HD ...                                           0.005482                                                                                            \n",
       "Lenovo - 100S-14IBR 14 Laptop - Intel Celeron -...                                          -0.001897                                                                                            \n",
       "Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Lapt...                                          -0.006633                                                                                            \n",
       "Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Tou...                                           0.002919                                                                                            \n",
       "Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD To...                                           0.007093                                                                                            \n",
       "MSI - WS Series 15.6 Laptop - Intel Core i7 - 1...                                           0.138741                                                                                            \n",
       "New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5gh...                                           0.010492                                                                                            \n",
       "Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen...                                           0.016447                                                                                            \n",
       "Samsung - Notebook 5 15.6 Touch-Screen Laptop -...                                           0.009549                                                                                            \n",
       "\n",
       "                                                    Acer 15.6 Chromebook CB5-571-C4G4_CPE  \\\n",
       "name                                                                                        \n",
       "12 MacBook (Mid 2017, Gold)                                                     -0.000545   \n",
       "12 MacBook (Mid 2017, Silver)                                                   -0.000307   \n",
       "12.3 32GB Multi-Touch 2-in-1 Chromebook Plus                                     0.002072   \n",
       "13.3 MacBook Air (Mid 2017, Silver)                                              0.007144   \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Sil...                               0.103590   \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Spa...                               0.085754   \n",
       "ASUS VivoBook Max X541SA 15.6Inch Laptop Intel ...                               0.002543   \n",
       "Acer - 2-in-1 15.6 Refurbished Touch-Screen Lap...                               0.010924   \n",
       "Acer 15.6 Chromebook CB5-571-C4G4                                                0.001425   \n",
       "Alienware - R3 17.3 Laptop - Intel Core i7 - 16...                               0.063461   \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                               0.008136   \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                               0.008109   \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                               0.031847   \n",
       "Apple 13.3 MacBook Air ( Silver)\"                                                0.022600   \n",
       "Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 G...                               0.000134   \n",
       "Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Int...                               0.030062   \n",
       "Apple MacBook Pro with Touch Bar - 13.3 - Core ...                               0.056416   \n",
       "Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Lap...                              -0.022100   \n",
       "Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8...                               0.004535   \n",
       "Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - In...                               0.010304   \n",
       "Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-...                               0.018895   \n",
       "Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i...                               0.023667   \n",
       "Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i...                               0.032334   \n",
       "Details About Apple Macbook Air 13.3 Laptop (ea...                               0.012292   \n",
       "Details About Asus Q304 13.3 Laptop I5 2.5 Ghz ...                               0.003147   \n",
       "Details About Dell Inspiron I75675650blkpus 15....                               0.019565   \n",
       "Details About Openbox Excellent: Asus Rog Gl502...                               0.036804   \n",
       "Details About Razer Blade Laptop 14 Full Hd (i7...                               0.068514   \n",
       "Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"                                 0.000000   \n",
       "HP - ProBook 14 Laptop - Intel Core i5 - 4GB Me...                               0.012057   \n",
       "HP 15-AY103DX 15.6 Touchscreen Touch Screen HD ...                               0.003684   \n",
       "Lenovo - 100S-14IBR 14 Laptop - Intel Celeron -...                              -0.001274   \n",
       "Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Lapt...                              -0.004456   \n",
       "Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Tou...                               0.001962   \n",
       "Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD To...                               0.004766   \n",
       "MSI - WS Series 15.6 Laptop - Intel Core i7 - 1...                               0.102800   \n",
       "New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5gh...                               0.007049   \n",
       "Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen...                               0.011051   \n",
       "Samsung - Notebook 5 15.6 Touch-Screen Laptop -...                               0.006416   \n",
       "\n",
       "                                                    Alienware - R3 17.3 Laptop - Intel Core i7 - 16GB Memory - 1TB Hard Drive + 256GB Solid State Drive - Epic Silver\"_CPE  \\\n",
       "name                                                                                                                                                                         \n",
       "12 MacBook (Mid 2017, Gold)                                                                 -1.994301                                                                        \n",
       "12 MacBook (Mid 2017, Silver)                                                                1.216628                                                                        \n",
       "12.3 32GB Multi-Touch 2-in-1 Chromebook Plus                                                 0.104993                                                                        \n",
       "13.3 MacBook Air (Mid 2017, Silver)                                                          0.488509                                                                        \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Sil...                                           0.051971                                                                        \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Spa...                                           0.390047                                                                        \n",
       "ASUS VivoBook Max X541SA 15.6Inch Laptop Intel ...                                          -0.100142                                                                        \n",
       "Acer - 2-in-1 15.6 Refurbished Touch-Screen Lap...                                           0.005479                                                                        \n",
       "Acer 15.6 Chromebook CB5-571-C4G4                                                           -0.016334                                                                        \n",
       "Alienware - R3 17.3 Laptop - Intel Core i7 - 16...                                           0.031837                                                                        \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          -1.085871                                                                        \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          -1.082294                                                                        \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          -3.926393                                                                        \n",
       "Apple 13.3 MacBook Air ( Silver)\"                                                            0.011340                                                                        \n",
       "Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 G...                                           0.460151                                                                        \n",
       "Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Int...                                           0.015085                                                                        \n",
       "Apple MacBook Pro with Touch Bar - 13.3 - Core ...                                           5.019072                                                                        \n",
       "Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Lap...                                           1.581453                                                                        \n",
       "Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8...                                           0.269238                                                                        \n",
       "Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - In...                                           0.672201                                                                        \n",
       "Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-...                                          -2.059638                                                                        \n",
       "Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i...                                          -0.851602                                                                        \n",
       "Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i...                                           1.346935                                                                        \n",
       "Details About Apple Macbook Air 13.3 Laptop (ea...                                           0.068192                                                                        \n",
       "Details About Asus Q304 13.3 Laptop I5 2.5 Ghz ...                                           0.087488                                                                        \n",
       "Details About Dell Inspiron I75675650blkpus 15....                                          -0.143401                                                                        \n",
       "Details About Openbox Excellent: Asus Rog Gl502...                                          -0.791055                                                                        \n",
       "Details About Razer Blade Laptop 14 Full Hd (i7...                                           0.034370                                                                        \n",
       "Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"                                             0.000000                                                                        \n",
       "HP - ProBook 14 Laptop - Intel Core i5 - 4GB Me...                                           0.006049                                                                        \n",
       "HP 15-AY103DX 15.6 Touchscreen Touch Screen HD ...                                           0.001848                                                                        \n",
       "Lenovo - 100S-14IBR 14 Laptop - Intel Celeron -...                                           0.102279                                                                        \n",
       "Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Lapt...                                           0.447944                                                                        \n",
       "Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Tou...                                           0.000984                                                                        \n",
       "Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD To...                                          -0.120824                                                                        \n",
       "MSI - WS Series 15.6 Laptop - Intel Core i7 - 1...                                           0.051574                                                                        \n",
       "New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5gh...                                           0.003537                                                                        \n",
       "Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen...                                           1.438359                                                                        \n",
       "Samsung - Notebook 5 15.6 Touch-Screen Laptop -...                                           0.207466                                                                        \n",
       "\n",
       "                                                                                                                    ...                                                                    \\\n",
       "name                                                                                                                ...                                                                     \n",
       "12 MacBook (Mid 2017, Gold)                                                                                         ...                                                                     \n",
       "12 MacBook (Mid 2017, Silver)                                                                                       ...                                                                     \n",
       "12.3 32GB Multi-Touch 2-in-1 Chromebook Plus                                                                        ...                                                                     \n",
       "13.3 MacBook Air (Mid 2017, Silver)                                                                                 ...                                                                     \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Sil...                                                                  ...                                                                     \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Spa...                                                                  ...                                                                     \n",
       "ASUS VivoBook Max X541SA 15.6Inch Laptop Intel ...                                                                  ...                                                                     \n",
       "Acer - 2-in-1 15.6 Refurbished Touch-Screen Lap...                                                                  ...                                                                     \n",
       "Acer 15.6 Chromebook CB5-571-C4G4                                                                                   ...                                                                     \n",
       "Alienware - R3 17.3 Laptop - Intel Core i7 - 16...                                                                  ...                                                                     \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                                                  ...                                                                     \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                                                  ...                                                                     \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                                                  ...                                                                     \n",
       "Apple 13.3 MacBook Air ( Silver)\"                                                                                   ...                                                                     \n",
       "Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 G...                                                                  ...                                                                     \n",
       "Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Int...                                                                  ...                                                                     \n",
       "Apple MacBook Pro with Touch Bar - 13.3 - Core ...                                                                  ...                                                                     \n",
       "Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Lap...                                                                  ...                                                                     \n",
       "Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8...                                                                  ...                                                                     \n",
       "Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - In...                                                                  ...                                                                     \n",
       "Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-...                                                                  ...                                                                     \n",
       "Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i...                                                                  ...                                                                     \n",
       "Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i...                                                                  ...                                                                     \n",
       "Details About Apple Macbook Air 13.3 Laptop (ea...                                                                  ...                                                                     \n",
       "Details About Asus Q304 13.3 Laptop I5 2.5 Ghz ...                                                                  ...                                                                     \n",
       "Details About Dell Inspiron I75675650blkpus 15....                                                                  ...                                                                     \n",
       "Details About Openbox Excellent: Asus Rog Gl502...                                                                  ...                                                                     \n",
       "Details About Razer Blade Laptop 14 Full Hd (i7...                                                                  ...                                                                     \n",
       "Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"                                                                    ...                                                                     \n",
       "HP - ProBook 14 Laptop - Intel Core i5 - 4GB Me...                                                                  ...                                                                     \n",
       "HP 15-AY103DX 15.6 Touchscreen Touch Screen HD ...                                                                  ...                                                                     \n",
       "Lenovo - 100S-14IBR 14 Laptop - Intel Celeron -...                                                                  ...                                                                     \n",
       "Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Lapt...                                                                  ...                                                                     \n",
       "Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Tou...                                                                  ...                                                                     \n",
       "Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD To...                                                                  ...                                                                     \n",
       "MSI - WS Series 15.6 Laptop - Intel Core i7 - 1...                                                                  ...                                                                     \n",
       "New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5gh...                                                                  ...                                                                     \n",
       "Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen...                                                                  ...                                                                     \n",
       "Samsung - Notebook 5 15.6 Touch-Screen Laptop -...                                                                  ...                                                                     \n",
       "\n",
       "                                                    HP - ProBook 14 Laptop - Intel Core i5 - 4GB Memory - 500GB Hard Drive - Black\"_CPE  \\\n",
       "name                                                                                                                                      \n",
       "12 MacBook (Mid 2017, Gold)                                                                 -1.994301                                     \n",
       "12 MacBook (Mid 2017, Silver)                                                                1.327231                                     \n",
       "12.3 32GB Multi-Touch 2-in-1 Chromebook Plus                                                 0.034998                                     \n",
       "13.3 MacBook Air (Mid 2017, Silver)                                                          0.407091                                     \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Sil...                                          -0.213697                                     \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Spa...                                           0.058546                                     \n",
       "ASUS VivoBook Max X541SA 15.6Inch Laptop Intel ...                                          -0.075107                                     \n",
       "Acer - 2-in-1 15.6 Refurbished Touch-Screen Lap...                                          -0.030177                                     \n",
       "Acer 15.6 Chromebook CB5-571-C4G4                                                           -0.000460                                     \n",
       "Alienware - R3 17.3 Laptop - Intel Core i7 - 16...                                          -0.160389                                     \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          -1.206523                                     \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          -1.202549                                     \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          -4.253593                                     \n",
       "Apple 13.3 MacBook Air ( Silver)\"                                                           -0.062454                                     \n",
       "Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 G...                                           0.460151                                     \n",
       "Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Int...                                          -0.083058                                     \n",
       "Apple MacBook Pro with Touch Bar - 13.3 - Core ...                                           4.562793                                     \n",
       "Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Lap...                                           1.792313                                     \n",
       "Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8...                                           0.201928                                     \n",
       "Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - In...                                           0.672201                                     \n",
       "Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-...                                           0.475301                                     \n",
       "Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i...                                          -0.993535                                     \n",
       "Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i...                                           1.047616                                     \n",
       "Details About Apple Macbook Air 13.3 Laptop (ea...                                           0.204576                                     \n",
       "Details About Asus Q304 13.3 Laptop I5 2.5 Ghz ...                                           0.087488                                     \n",
       "Details About Dell Inspiron I75675650blkpus 15....                                          -0.286802                                     \n",
       "Details About Openbox Excellent: Asus Rog Gl502...                                          -0.988819                                     \n",
       "Details About Razer Blade Laptop 14 Full Hd (i7...                                          -0.164925                                     \n",
       "Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"                                             0.000000                                     \n",
       "HP - ProBook 14 Laptop - Intel Core i5 - 4GB Me...                                          -0.033318                                     \n",
       "HP 15-AY103DX 15.6 Touchscreen Touch Screen HD ...                                          -0.010177                                     \n",
       "Lenovo - 100S-14IBR 14 Laptop - Intel Celeron -...                                           0.102279                                     \n",
       "Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Lapt...                                           0.497716                                     \n",
       "Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Tou...                                          -0.005421                                     \n",
       "Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD To...                                          -0.151030                                     \n",
       "MSI - WS Series 15.6 Laptop - Intel Core i7 - 1...                                          -0.205720                                     \n",
       "New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5gh...                                          -0.019479                                     \n",
       "Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen...                                           1.438359                                     \n",
       "Samsung - Notebook 5 15.6 Touch-Screen Laptop -...                                           0.155599                                     \n",
       "\n",
       "                                                    HP 15-AY103DX 15.6 Touchscreen Touch Screen HD Laptop Notebook PC Computer 7th Gen i5-7200U Kaby Lake 8GB Memory 1TB HDD Hard Drive Windows 10\"_CPE  \\\n",
       "name                                                                                                                                                                                                      \n",
       "12 MacBook (Mid 2017, Gold)                                                                 -0.000742                                                                                                     \n",
       "12 MacBook (Mid 2017, Silver)                                                               -0.000417                                                                                                     \n",
       "12.3 32GB Multi-Touch 2-in-1 Chromebook Plus                                                 0.002820                                                                                                     \n",
       "13.3 MacBook Air (Mid 2017, Silver)                                                          0.009726                                                                                                     \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Sil...                                           0.131856                                                                                                     \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Spa...                                           0.116772                                                                                                     \n",
       "ASUS VivoBook Max X541SA 15.6Inch Laptop Intel ...                                           0.003465                                                                                                     \n",
       "Acer - 2-in-1 15.6 Refurbished Touch-Screen Lap...                                           0.014871                                                                                                     \n",
       "Acer 15.6 Chromebook CB5-571-C4G4                                                            0.001941                                                                                                     \n",
       "Alienware - R3 17.3 Laptop - Intel Core i7 - 16...                                           0.086405                                                                                                     \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.011077                                                                                                     \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.011041                                                                                                     \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.043366                                                                                                     \n",
       "Apple 13.3 MacBook Air ( Silver)\"                                                            0.030780                                                                                                     \n",
       "Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 G...                                           0.000182                                                                                                     \n",
       "Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Int...                                           0.040935                                                                                                     \n",
       "Apple MacBook Pro with Touch Bar - 13.3 - Core ...                                           0.076831                                                                                                     \n",
       "Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Lap...                                          -0.030093                                                                                                     \n",
       "Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8...                                           0.006176                                                                                                     \n",
       "Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - In...                                           0.014037                                                                                                     \n",
       "Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-...                                           0.025730                                                                                                     \n",
       "Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i...                                           0.032237                                                                                                     \n",
       "Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i...                                           0.044020                                                                                                     \n",
       "Details About Apple Macbook Air 13.3 Laptop (ea...                                           0.016742                                                                                                     \n",
       "Details About Asus Q304 13.3 Laptop I5 2.5 Ghz ...                                           0.004286                                                                                                     \n",
       "Details About Dell Inspiron I75675650blkpus 15....                                           0.026637                                                                                                     \n",
       "Details About Openbox Excellent: Asus Rog Gl502...                                           0.050115                                                                                                     \n",
       "Details About Razer Blade Laptop 14 Full Hd (i7...                                           0.093296                                                                                                     \n",
       "Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"                                             0.000000                                                                                                     \n",
       "HP - ProBook 14 Laptop - Intel Core i5 - 4GB Me...                                           0.016419                                                                                                     \n",
       "HP 15-AY103DX 15.6 Touchscreen Touch Screen HD ...                                           0.005016                                                                                                     \n",
       "Lenovo - 100S-14IBR 14 Laptop - Intel Celeron -...                                          -0.001735                                                                                                     \n",
       "Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Lapt...                                          -0.006068                                                                                                     \n",
       "Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Tou...                                           0.002671                                                                                                     \n",
       "Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD To...                                           0.006490                                                                                                     \n",
       "MSI - WS Series 15.6 Laptop - Intel Core i7 - 1...                                           0.126934                                                                                                     \n",
       "New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5gh...                                           0.009599                                                                                                     \n",
       "Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen...                                           0.015048                                                                                                     \n",
       "Samsung - Notebook 5 15.6 Touch-Screen Laptop -...                                           0.008737                                                                                                     \n",
       "\n",
       "                                                    Lenovo - 100S-14IBR 14 Laptop - Intel Celeron - 2GB Memory - 32GB eMMC Flash Memory - Navy blue\"_CPE  \\\n",
       "name                                                                                                                                                       \n",
       "12 MacBook (Mid 2017, Gold)                                                                 -0.000712                                                      \n",
       "12 MacBook (Mid 2017, Silver)                                                               -0.000401                                                      \n",
       "12.3 32GB Multi-Touch 2-in-1 Chromebook Plus                                                 0.002707                                                      \n",
       "13.3 MacBook Air (Mid 2017, Silver)                                                          0.009337                                                      \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Sil...                                           0.126582                                                      \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Spa...                                           0.112101                                                      \n",
       "ASUS VivoBook Max X541SA 15.6Inch Laptop Intel ...                                           0.003326                                                      \n",
       "Acer - 2-in-1 15.6 Refurbished Touch-Screen Lap...                                           0.014276                                                      \n",
       "Acer 15.6 Chromebook CB5-571-C4G4                                                            0.001863                                                      \n",
       "Alienware - R3 17.3 Laptop - Intel Core i7 - 16...                                           0.082949                                                      \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.010634                                                      \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.010599                                                      \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.041631                                                      \n",
       "Apple 13.3 MacBook Air ( Silver)\"                                                            0.029549                                                      \n",
       "Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 G...                                           0.000175                                                      \n",
       "Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Int...                                           0.039298                                                      \n",
       "Apple MacBook Pro with Touch Bar - 13.3 - Core ...                                           0.073757                                                      \n",
       "Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Lap...                                          -0.028890                                                      \n",
       "Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8...                                           0.005929                                                      \n",
       "Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - In...                                           0.013475                                                      \n",
       "Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-...                                           0.024700                                                      \n",
       "Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i...                                           0.030947                                                      \n",
       "Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i...                                           0.042259                                                      \n",
       "Details About Apple Macbook Air 13.3 Laptop (ea...                                           0.016072                                                      \n",
       "Details About Asus Q304 13.3 Laptop I5 2.5 Ghz ...                                           0.004115                                                      \n",
       "Details About Dell Inspiron I75675650blkpus 15....                                           0.025572                                                      \n",
       "Details About Openbox Excellent: Asus Rog Gl502...                                           0.048111                                                      \n",
       "Details About Razer Blade Laptop 14 Full Hd (i7...                                           0.089564                                                      \n",
       "Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"                                             0.000000                                                      \n",
       "HP - ProBook 14 Laptop - Intel Core i5 - 4GB Me...                                           0.015762                                                      \n",
       "HP 15-AY103DX 15.6 Touchscreen Touch Screen HD ...                                           0.004815                                                      \n",
       "Lenovo - 100S-14IBR 14 Laptop - Intel Celeron -...                                          -0.001666                                                      \n",
       "Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Lapt...                                          -0.005826                                                      \n",
       "Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Tou...                                           0.002564                                                      \n",
       "Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD To...                                           0.006230                                                      \n",
       "MSI - WS Series 15.6 Laptop - Intel Core i7 - 1...                                           0.121856                                                      \n",
       "New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5gh...                                           0.009215                                                      \n",
       "Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen...                                           0.014446                                                      \n",
       "Samsung - Notebook 5 15.6 Touch-Screen Laptop -...                                           0.008387                                                      \n",
       "\n",
       "                                                    Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Laptop - Intel Core i5 - 8GB Memory - 128GB Solid State Drive - Silver Tablet PC Notebook 80V6000PUS\"_CPE  \\\n",
       "name                                                                                                                                                                                                       \n",
       "12 MacBook (Mid 2017, Gold)                                                                 -0.000697                                                                                                      \n",
       "12 MacBook (Mid 2017, Silver)                                                               -0.000392                                                                                                      \n",
       "12.3 32GB Multi-Touch 2-in-1 Chromebook Plus                                                 0.002651                                                                                                      \n",
       "13.3 MacBook Air (Mid 2017, Silver)                                                          0.009142                                                                                                      \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Sil...                                           0.123944                                                                                                      \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Spa...                                           0.109765                                                                                                      \n",
       "ASUS VivoBook Max X541SA 15.6Inch Laptop Intel ...                                           0.003257                                                                                                      \n",
       "Acer - 2-in-1 15.6 Refurbished Touch-Screen Lap...                                           0.013979                                                                                                      \n",
       "Acer 15.6 Chromebook CB5-571-C4G4                                                            0.001824                                                                                                      \n",
       "Alienware - R3 17.3 Laptop - Intel Core i7 - 16...                                           0.081221                                                                                                      \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.010413                                                                                                      \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.010378                                                                                                      \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.040764                                                                                                      \n",
       "Apple 13.3 MacBook Air ( Silver)\"                                                            0.028933                                                                                                      \n",
       "Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 G...                                           0.000171                                                                                                      \n",
       "Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Int...                                           0.038479                                                                                                      \n",
       "Apple MacBook Pro with Touch Bar - 13.3 - Core ...                                           0.072221                                                                                                      \n",
       "Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Lap...                                          -0.028288                                                                                                      \n",
       "Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8...                                           0.005805                                                                                                      \n",
       "Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - In...                                           0.013195                                                                                                      \n",
       "Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-...                                           0.024186                                                                                                      \n",
       "Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i...                                           0.030303                                                                                                      \n",
       "Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i...                                           0.041379                                                                                                      \n",
       "Details About Apple Macbook Air 13.3 Laptop (ea...                                           0.015738                                                                                                      \n",
       "Details About Asus Q304 13.3 Laptop I5 2.5 Ghz ...                                           0.004029                                                                                                      \n",
       "Details About Dell Inspiron I75675650blkpus 15....                                           0.025039                                                                                                      \n",
       "Details About Openbox Excellent: Asus Rog Gl502...                                           0.047109                                                                                                      \n",
       "Details About Razer Blade Laptop 14 Full Hd (i7...                                           0.087698                                                                                                      \n",
       "Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"                                             0.000000                                                                                                      \n",
       "HP - ProBook 14 Laptop - Intel Core i5 - 4GB Me...                                           0.015434                                                                                                      \n",
       "HP 15-AY103DX 15.6 Touchscreen Touch Screen HD ...                                           0.004715                                                                                                      \n",
       "Lenovo - 100S-14IBR 14 Laptop - Intel Celeron -...                                          -0.001631                                                                                                      \n",
       "Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Lapt...                                          -0.005704                                                                                                      \n",
       "Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Tou...                                           0.002511                                                                                                      \n",
       "Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD To...                                           0.006100                                                                                                      \n",
       "MSI - WS Series 15.6 Laptop - Intel Core i7 - 1...                                           0.119318                                                                                                      \n",
       "New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5gh...                                           0.009023                                                                                                      \n",
       "Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen...                                           0.014145                                                                                                      \n",
       "Samsung - Notebook 5 15.6 Touch-Screen Laptop -...                                           0.008213                                                                                                      \n",
       "\n",
       "                                                    Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Touch Laptop (Pentium 4405Y, 4 GB Ram, 128 GB SSD, Windows 10), SilverNotebook PC Computer Tablet Touchscreen Screen 2-in-1_CPE  \\\n",
       "name                                                                                                                                                                                                                              \n",
       "12 MacBook (Mid 2017, Gold)                                                                 -0.000671                                                                                                                             \n",
       "12 MacBook (Mid 2017, Silver)                                                               -0.000377                                                                                                                             \n",
       "12.3 32GB Multi-Touch 2-in-1 Chromebook Plus                                                 0.002549                                                                                                                             \n",
       "13.3 MacBook Air (Mid 2017, Silver)                                                          0.008791                                                                                                                             \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Sil...                                           0.119177                                                                                                                             \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Spa...                                           0.105544                                                                                                                             \n",
       "ASUS VivoBook Max X541SA 15.6Inch Laptop Intel ...                                           0.003132                                                                                                                             \n",
       "Acer - 2-in-1 15.6 Refurbished Touch-Screen Lap...                                           0.013441                                                                                                                             \n",
       "Acer 15.6 Chromebook CB5-571-C4G4                                                            0.001754                                                                                                                             \n",
       "Alienware - R3 17.3 Laptop - Intel Core i7 - 16...                                           0.078097                                                                                                                             \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.010012                                                                                                                             \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.009979                                                                                                                             \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.039196                                                                                                                             \n",
       "Apple 13.3 MacBook Air ( Silver)\"                                                            0.027820                                                                                                                             \n",
       "Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 G...                                           0.000165                                                                                                                             \n",
       "Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Int...                                           0.036999                                                                                                                             \n",
       "Apple MacBook Pro with Touch Bar - 13.3 - Core ...                                           0.069443                                                                                                                             \n",
       "Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Lap...                                          -0.027200                                                                                                                             \n",
       "Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8...                                           0.005582                                                                                                                             \n",
       "Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - In...                                           0.012687                                                                                                                             \n",
       "Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-...                                           0.023256                                                                                                                             \n",
       "Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i...                                           0.029137                                                                                                                             \n",
       "Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i...                                           0.039787                                                                                                                             \n",
       "Details About Apple Macbook Air 13.3 Laptop (ea...                                           0.015132                                                                                                                             \n",
       "Details About Asus Q304 13.3 Laptop I5 2.5 Ghz ...                                           0.003874                                                                                                                             \n",
       "Details About Dell Inspiron I75675650blkpus 15....                                           0.024076                                                                                                                             \n",
       "Details About Openbox Excellent: Asus Rog Gl502...                                           0.045297                                                                                                                             \n",
       "Details About Razer Blade Laptop 14 Full Hd (i7...                                           0.084325                                                                                                                             \n",
       "Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"                                             0.000000                                                                                                                             \n",
       "HP - ProBook 14 Laptop - Intel Core i5 - 4GB Me...                                           0.014840                                                                                                                             \n",
       "HP 15-AY103DX 15.6 Touchscreen Touch Screen HD ...                                           0.004534                                                                                                                             \n",
       "Lenovo - 100S-14IBR 14 Laptop - Intel Celeron -...                                          -0.001569                                                                                                                             \n",
       "Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Lapt...                                          -0.005485                                                                                                                             \n",
       "Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Tou...                                           0.002414                                                                                                                             \n",
       "Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD To...                                           0.005866                                                                                                                             \n",
       "MSI - WS Series 15.6 Laptop - Intel Core i7 - 1...                                           0.114729                                                                                                                             \n",
       "New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5gh...                                           0.008676                                                                                                                             \n",
       "Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen...                                           0.013601                                                                                                                             \n",
       "Samsung - Notebook 5 15.6 Touch-Screen Laptop -...                                           0.007897                                                                                                                             \n",
       "\n",
       "                                                    Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD Touch - Pentium 4405U 2.1Ghz - 4GB - 500GB\"_CPE  \\\n",
       "name                                                                                                                                               \n",
       "12 MacBook (Mid 2017, Gold)                                                                 -0.000581                                              \n",
       "12 MacBook (Mid 2017, Silver)                                                               -0.000327                                              \n",
       "12.3 32GB Multi-Touch 2-in-1 Chromebook Plus                                                 0.002209                                              \n",
       "13.3 MacBook Air (Mid 2017, Silver)                                                          0.007619                                              \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Sil...                                           0.103287                                              \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Spa...                                           0.091471                                              \n",
       "ASUS VivoBook Max X541SA 15.6Inch Laptop Intel ...                                           0.002714                                              \n",
       "Acer - 2-in-1 15.6 Refurbished Touch-Screen Lap...                                           0.011649                                              \n",
       "Acer 15.6 Chromebook CB5-571-C4G4                                                            0.001520                                              \n",
       "Alienware - R3 17.3 Laptop - Intel Core i7 - 16...                                           0.067684                                              \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.008677                                              \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.008649                                              \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.033970                                              \n",
       "Apple 13.3 MacBook Air ( Silver)\"                                                            0.024111                                              \n",
       "Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 G...                                           0.000143                                              \n",
       "Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Int...                                           0.032066                                              \n",
       "Apple MacBook Pro with Touch Bar - 13.3 - Core ...                                           0.060184                                              \n",
       "Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Lap...                                          -0.023573                                              \n",
       "Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8...                                           0.004838                                              \n",
       "Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - In...                                           0.010995                                              \n",
       "Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-...                                           0.020155                                              \n",
       "Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i...                                           0.025252                                              \n",
       "Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i...                                           0.034482                                              \n",
       "Details About Apple Macbook Air 13.3 Laptop (ea...                                           0.013115                                              \n",
       "Details About Asus Q304 13.3 Laptop I5 2.5 Ghz ...                                           0.003357                                              \n",
       "Details About Dell Inspiron I75675650blkpus 15....                                           0.020866                                              \n",
       "Details About Openbox Excellent: Asus Rog Gl502...                                           0.039257                                              \n",
       "Details About Razer Blade Laptop 14 Full Hd (i7...                                           0.073082                                              \n",
       "Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"                                             0.000000                                              \n",
       "HP - ProBook 14 Laptop - Intel Core i5 - 4GB Me...                                           0.012861                                              \n",
       "HP 15-AY103DX 15.6 Touchscreen Touch Screen HD ...                                           0.003929                                              \n",
       "Lenovo - 100S-14IBR 14 Laptop - Intel Celeron -...                                          -0.001359                                              \n",
       "Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Lapt...                                          -0.004754                                              \n",
       "Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Tou...                                           0.002092                                              \n",
       "Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD To...                                           0.005084                                              \n",
       "MSI - WS Series 15.6 Laptop - Intel Core i7 - 1...                                           0.099431                                              \n",
       "New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5gh...                                           0.007519                                              \n",
       "Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen...                                           0.011787                                              \n",
       "Samsung - Notebook 5 15.6 Touch-Screen Laptop -...                                           0.006844                                              \n",
       "\n",
       "                                                    MSI - WS Series 15.6 Laptop - Intel Core i7 - 16GB Memory - 256GB Solid State Drive + 2TB Hard Drive - Aluminum Black\"_CPE  \\\n",
       "name                                                                                                                                                                             \n",
       "12 MacBook (Mid 2017, Gold)                                                                 -1.957483                                                                            \n",
       "12 MacBook (Mid 2017, Silver)                                                                1.302728                                                                            \n",
       "12.3 32GB Multi-Touch 2-in-1 Chromebook Plus                                                 0.034352                                                                            \n",
       "13.3 MacBook Air (Mid 2017, Silver)                                                          0.399576                                                                            \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Sil...                                          -0.209752                                                                            \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Spa...                                           0.057465                                                                            \n",
       "ASUS VivoBook Max X541SA 15.6Inch Laptop Intel ...                                          -0.073720                                                                            \n",
       "Acer - 2-in-1 15.6 Refurbished Touch-Screen Lap...                                          -0.029620                                                                            \n",
       "Acer 15.6 Chromebook CB5-571-C4G4                                                           -0.000451                                                                            \n",
       "Alienware - R3 17.3 Laptop - Intel Core i7 - 16...                                          -0.157428                                                                            \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          -1.184249                                                                            \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          -1.180348                                                                            \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          -4.175065                                                                            \n",
       "Apple 13.3 MacBook Air ( Silver)\"                                                           -0.061301                                                                            \n",
       "Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 G...                                           0.451655                                                                            \n",
       "Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Int...                                          -0.081525                                                                            \n",
       "Apple MacBook Pro with Touch Bar - 13.3 - Core ...                                           4.478557                                                                            \n",
       "Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Lap...                                           1.759224                                                                            \n",
       "Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8...                                           0.198201                                                                            \n",
       "Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - In...                                           0.659791                                                                            \n",
       "Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-...                                           0.466526                                                                            \n",
       "Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i...                                          -0.975193                                                                            \n",
       "Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i...                                           1.028276                                                                            \n",
       "Details About Apple Macbook Air 13.3 Laptop (ea...                                           0.200800                                                                            \n",
       "Details About Asus Q304 13.3 Laptop I5 2.5 Ghz ...                                           0.085873                                                                            \n",
       "Details About Dell Inspiron I75675650blkpus 15....                                          -0.281507                                                                            \n",
       "Details About Openbox Excellent: Asus Rog Gl502...                                          -0.970564                                                                            \n",
       "Details About Razer Blade Laptop 14 Full Hd (i7...                                          -0.161880                                                                            \n",
       "Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"                                             0.000000                                                                            \n",
       "HP - ProBook 14 Laptop - Intel Core i5 - 4GB Me...                                          -0.032703                                                                            \n",
       "HP 15-AY103DX 15.6 Touchscreen Touch Screen HD ...                                          -0.009989                                                                            \n",
       "Lenovo - 100S-14IBR 14 Laptop - Intel Celeron -...                                           0.100391                                                                            \n",
       "Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Lapt...                                           0.488527                                                                            \n",
       "Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Tou...                                          -0.005321                                                                            \n",
       "Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD To...                                          -0.148242                                                                            \n",
       "MSI - WS Series 15.6 Laptop - Intel Core i7 - 1...                                          -0.201922                                                                            \n",
       "New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5gh...                                          -0.019120                                                                            \n",
       "Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen...                                           1.411804                                                                            \n",
       "Samsung - Notebook 5 15.6 Touch-Screen Laptop -...                                           0.152727                                                                            \n",
       "\n",
       "                                                    New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5ghz 16gb Ddr4 2tb Hd 940mx2gb W10\"_CPE  \\\n",
       "name                                                                                                                                      \n",
       "12 MacBook (Mid 2017, Gold)                                                                 -0.000671                                     \n",
       "12 MacBook (Mid 2017, Silver)                                                               -0.000377                                     \n",
       "12.3 32GB Multi-Touch 2-in-1 Chromebook Plus                                                 0.002549                                     \n",
       "13.3 MacBook Air (Mid 2017, Silver)                                                          0.008791                                     \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Sil...                                           0.119177                                     \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Spa...                                           0.105544                                     \n",
       "ASUS VivoBook Max X541SA 15.6Inch Laptop Intel ...                                           0.003132                                     \n",
       "Acer - 2-in-1 15.6 Refurbished Touch-Screen Lap...                                           0.013441                                     \n",
       "Acer 15.6 Chromebook CB5-571-C4G4                                                            0.001754                                     \n",
       "Alienware - R3 17.3 Laptop - Intel Core i7 - 16...                                           0.078097                                     \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.010012                                     \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.009979                                     \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                           0.039196                                     \n",
       "Apple 13.3 MacBook Air ( Silver)\"                                                            0.027820                                     \n",
       "Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 G...                                           0.000165                                     \n",
       "Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Int...                                           0.036999                                     \n",
       "Apple MacBook Pro with Touch Bar - 13.3 - Core ...                                           0.069443                                     \n",
       "Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Lap...                                          -0.027200                                     \n",
       "Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8...                                           0.005582                                     \n",
       "Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - In...                                           0.012687                                     \n",
       "Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-...                                           0.023256                                     \n",
       "Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i...                                           0.029137                                     \n",
       "Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i...                                           0.039787                                     \n",
       "Details About Apple Macbook Air 13.3 Laptop (ea...                                           0.015132                                     \n",
       "Details About Asus Q304 13.3 Laptop I5 2.5 Ghz ...                                           0.003874                                     \n",
       "Details About Dell Inspiron I75675650blkpus 15....                                           0.024076                                     \n",
       "Details About Openbox Excellent: Asus Rog Gl502...                                           0.045297                                     \n",
       "Details About Razer Blade Laptop 14 Full Hd (i7...                                           0.084325                                     \n",
       "Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"                                             0.000000                                     \n",
       "HP - ProBook 14 Laptop - Intel Core i5 - 4GB Me...                                           0.014840                                     \n",
       "HP 15-AY103DX 15.6 Touchscreen Touch Screen HD ...                                           0.004534                                     \n",
       "Lenovo - 100S-14IBR 14 Laptop - Intel Celeron -...                                          -0.001569                                     \n",
       "Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Lapt...                                          -0.005485                                     \n",
       "Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Tou...                                           0.002414                                     \n",
       "Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD To...                                           0.005866                                     \n",
       "MSI - WS Series 15.6 Laptop - Intel Core i7 - 1...                                           0.114729                                     \n",
       "New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5gh...                                           0.008676                                     \n",
       "Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen...                                           0.013601                                     \n",
       "Samsung - Notebook 5 15.6 Touch-Screen Laptop -...                                           0.007897                                     \n",
       "\n",
       "                                                    Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen Laptop - Intel Core i7 - 32GB Memory - NVIDIA GeForce GTX 1080 - 1TB SSD - Black\"_CPE  \\\n",
       "name                                                                                                                                                                                        \n",
       "12 MacBook (Mid 2017, Gold)                                                                 -3.912072                                                                                       \n",
       "12 MacBook (Mid 2017, Silver)                                                               -0.751019                                                                                       \n",
       "12.3 32GB Multi-Touch 2-in-1 Chromebook Plus                                                 0.059411                                                                                       \n",
       "13.3 MacBook Air (Mid 2017, Silver)                                                          0.460708                                                                                       \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Sil...                                           0.483686                                                                                       \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Spa...                                           0.772482                                                                                       \n",
       "ASUS VivoBook Max X541SA 15.6Inch Laptop Intel ...                                          -0.070832                                                                                       \n",
       "Acer - 2-in-1 15.6 Refurbished Touch-Screen Lap...                                           0.038800                                                                                       \n",
       "Acer 15.6 Chromebook CB5-571-C4G4                                                            0.000302                                                                                       \n",
       "Alienware - R3 17.3 Laptop - Intel Core i7 - 16...                                           0.272270                                                                                       \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          -0.477901                                                                                       \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          -0.476327                                                                                       \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          -5.461836                                                                                       \n",
       "Apple 13.3 MacBook Air ( Silver)\"                                                            0.107759                                                                                       \n",
       "Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 G...                                           0.976417                                                                                       \n",
       "Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Int...                                           0.122202                                                                                       \n",
       "Apple MacBook Pro with Touch Bar - 13.3 - Core ...                                           4.647372                                                                                       \n",
       "Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Lap...                                           1.730083                                                                                       \n",
       "Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8...                                           0.035562                                                                                       \n",
       "Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - In...                                           0.489044                                                                                       \n",
       "Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-...                                           0.448251                                                                                       \n",
       "Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i...                                           1.204705                                                                                       \n",
       "Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i...                                           1.778393                                                                                       \n",
       "Details About Apple Macbook Air 13.3 Laptop (ea...                                           0.192934                                                                                       \n",
       "Details About Asus Q304 13.3 Laptop I5 2.5 Ghz ...                                           0.099011                                                                                       \n",
       "Details About Dell Inspiron I75675650blkpus 15....                                          -0.202860                                                                                       \n",
       "Details About Openbox Excellent: Asus Rog Gl502...                                          -0.615480                                                                                       \n",
       "Details About Razer Blade Laptop 14 Full Hd (i7...                                           0.279970                                                                                       \n",
       "Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"                                             0.000000                                                                                       \n",
       "HP - ProBook 14 Laptop - Intel Core i5 - 4GB Me...                                           0.039960                                                                                       \n",
       "HP 15-AY103DX 15.6 Touchscreen Touch Screen HD ...                                           0.017027                                                                                       \n",
       "Lenovo - 100S-14IBR 14 Laptop - Intel Celeron -...                                           0.086813                                                                                       \n",
       "Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Lapt...                                           0.563268                                                                                       \n",
       "Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Tou...                                           0.009072                                                                                       \n",
       "Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD To...                                          -0.119645                                                                                       \n",
       "MSI - WS Series 15.6 Laptop - Intel Core i7 - 1...                                           0.465630                                                                                       \n",
       "New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5gh...                                           0.032591                                                                                       \n",
       "Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen...                                          -2.238226                                                                                       \n",
       "Samsung - Notebook 5 15.6 Touch-Screen Laptop -...                                           0.234790                                                                                       \n",
       "\n",
       "                                                    Samsung - Notebook 5 15.6 Touch-Screen Laptop - Intel Core i5 - 8GB Memory - NVIDIA GeForce 920MX - 1TB Hard Drive - Solid black\"_CPE  \n",
       "name                                                                                                                                                                                       \n",
       "12 MacBook (Mid 2017, Gold)                                                                 -2.065526                                                                                      \n",
       "12 MacBook (Mid 2017, Silver)                                                                1.317356                                                                                      \n",
       "12.3 32GB Multi-Touch 2-in-1 Chromebook Plus                                                 0.054372                                                                                      \n",
       "13.3 MacBook Air (Mid 2017, Silver)                                                          0.421630                                                                                      \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Sil...                                          -0.331994                                                                                      \n",
       "15.4 MacBook Pro with Touch Bar (Late 2016, Spa...                                           0.060647                                                                                      \n",
       "ASUS VivoBook Max X541SA 15.6Inch Laptop Intel ...                                          -0.064824                                                                                      \n",
       "Acer - 2-in-1 15.6 Refurbished Touch-Screen Lap...                                          -0.031255                                                                                      \n",
       "Acer 15.6 Chromebook CB5-571-C4G4                                                           -0.000476                                                                                      \n",
       "Alienware - R3 17.3 Laptop - Intel Core i7 - 16...                                          -0.166117                                                                                      \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          -1.187133                                                                                      \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          -1.183222                                                                                      \n",
       "Apple - MacBook Pro¨ - 13 Display - Intel Core ...                                          -4.405507                                                                                      \n",
       "Apple 13.3 MacBook Air ( Silver)\"                                                           -0.049309                                                                                      \n",
       "Apple MacBook - 12 - Core m5 - 8 GB RAM - 512 G...                                           0.476585                                                                                      \n",
       "Apple MacBook Pro MLUQ2LL/A 13.3 Notebook - Int...                                          -0.111837                                                                                      \n",
       "Apple MacBook Pro with Touch Bar - 13.3 - Core ...                                           4.725750                                                                                      \n",
       "Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen Lap...                                           1.856324                                                                                      \n",
       "Dell - Inspiron 15.6 Laptop - Intel Core i5 - 8...                                           0.209140                                                                                      \n",
       "Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - In...                                           0.696208                                                                                      \n",
       "Dell XPS 15 15.6 4K Touchcreen Laptop Intel i7-...                                           0.492276                                                                                      \n",
       "Details About Alienware 13 R3 Aw13r3/13.3 Fhd/i...                                          -0.955517                                                                                      \n",
       "Details About Alienware 15 R3 Aw15r3/15.6 Fhd/i...                                           1.162533                                                                                      \n",
       "Details About Apple Macbook Air 13.3 Laptop (ea...                                           0.176569                                                                                      \n",
       "Details About Asus Q304 13.3 Laptop I5 2.5 Ghz ...                                           0.067959                                                                                      \n",
       "Details About Dell Inspiron I75675650blkpus 15....                                          -0.297045                                                                                      \n",
       "Details About Openbox Excellent: Asus Rog Gl502...                                          -1.024134                                                                                      \n",
       "Details About Razer Blade Laptop 14 Full Hd (i7...                                          -0.170815                                                                                      \n",
       "Ginsu BESTBUY5580020 Lenovo Ideapad 11.6 Laptop\"                                             0.000000                                                                                      \n",
       "HP - ProBook 14 Laptop - Intel Core i5 - 4GB Me...                                          -0.034505                                                                                      \n",
       "HP 15-AY103DX 15.6 Touchscreen Touch Screen HD ...                                          -0.010541                                                                                      \n",
       "Lenovo - 100S-14IBR 14 Laptop - Intel Celeron -...                                           0.105932                                                                                      \n",
       "Lenovo - Yoga 710 2-in-1 11.6 Touch-Screen Lapt...                                           0.541266                                                                                      \n",
       "Lenovo 80TX0007US Y 710-11ISK 11.6-Inch FHD Tou...                                          -0.005614                                                                                      \n",
       "Lenovo Flex 4 1470 80SA0000US 2-in-1 - 14 HD To...                                          -0.156424                                                                                      \n",
       "MSI - WS Series 15.6 Laptop - Intel Core i7 - 1...                                          -0.319601                                                                                      \n",
       "New Asus Q524u 15.6fhd 2in1 Touch I77500u 3.5gh...                                          -0.020175                                                                                      \n",
       "Razer - Blade Pro 17.3 4K Ultra HD Touch-Screen...                                           1.303513                                                                                      \n",
       "Samsung - Notebook 5 15.6 Touch-Screen Laptop -...                                           0.188016                                                                                      \n",
       "\n",
       "[39 rows x 39 columns]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result_df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Cross-Price Elasticity of Ad Impression Demand Matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "test_largest = result_df.nlargest(3,result_df.columns[1])[[result_df.columns[1]]]\n",
    "test_smallest = result_df.nsmallest(3,result_df.columns[1])[[result_df.columns[1]]]\n",
    "frames = [test_smallest, test_largest]\n",
    "\n",
    "result = pd.concat(frames).reset_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c1cea92b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>12 MacBook (Mid 2017, Silver)_CPE</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ranking</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>Apple MacBook Pro with Touch Bar - 13.3 - Core...</td>\n",
       "      <td>4.128415</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - I...</td>\n",
       "      <td>2.172169</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen La...</td>\n",
       "      <td>1.987359</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>12 MacBook (Mid 2017, Gold)</td>\n",
       "      <td>-1.904690</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Apple - MacBook Pro¨ - 13 Display - Intel Core...</td>\n",
       "      <td>-1.973667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Details About Openbox Excellent: Asus Rog Gl50...</td>\n",
       "      <td>-2.013038</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                      name  \\\n",
       "ranking                                                      \n",
       "6        Apple MacBook Pro with Touch Bar - 13.3 - Core...   \n",
       "5        Dell - XPS 2-in-1 13.3 Touch-Screen Laptop - I...   \n",
       "4        Asus - 2-in-1 15.6 4K Ultra HD Touch-Screen La...   \n",
       "3                              12 MacBook (Mid 2017, Gold)   \n",
       "2        Apple - MacBook Pro¨ - 13 Display - Intel Core...   \n",
       "1        Details About Openbox Excellent: Asus Rog Gl50...   \n",
       "\n",
       "         12 MacBook (Mid 2017, Silver)_CPE  \n",
       "ranking                                     \n",
       "6                                 4.128415  \n",
       "5                                 2.172169  \n",
       "4                                 1.987359  \n",
       "3                                -1.904690  \n",
       "2                                -1.973667  \n",
       "1                                -2.013038  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "test1000 = divergent_plot(result ,result.columns[1], 'Ranking_Number', 'Cross-Price Elasticity' )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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