Merge comprehensive assignment implementation from copilot/fix-85cd3ff8-d060-4203-ae80-582d2e574716 into gabriel-saco

[Copilot]

This PR successfully merges the complete assignment implementation from the copilot/fix-85cd3ff8-d060-4203-ae80-582d2e574716 branch into the gabriel-saco branch as requested.

Changes Summary

The merge brings a comprehensive multi-language implementation of Assignment 1 for High Dimensional Linear Models, including:

📁 New File Structure

• Complete Python implementation with scripts for all three assignment parts
• Julia implementation with equivalent functionality
• R implementation for statistical computing approach
• Comprehensive documentation including detailed README and implementation guide
• Project configuration files (.gitignore, requirements.txt)

🔧 Technical Implementation

• Part 1: Frisch-Waugh-Lovell (FWL) Theorem proof and numerical verification
• Part 2: Overfitting analysis with bias-variance tradeoff demonstration
• Part 3: Hedonic pricing model for real estate data analysis

📋 Files Added (23 new files)

.gitignore                           # Project ignore patterns
ASSIGNMENT1_README.md               # Detailed assignment documentation  
IMPLEMENTATION_GUIDE.md             # Setup and usage instructions
assignment1_complete.py             # Master script for all parts
requirements.txt                    # Python dependencies
Python/scripts/                     # Python implementation modules
Julia/                              # Julia implementation directory
R/                                  # R implementation directory
Python/output/                      # Pre-generated results and plots

🔀 Conflict Resolution

Resolved merge conflict in README.md by preserving the original title "High_Dimensional_Linear_Models" and subtitle "Causal Inference and Machine Learning" while integrating the comprehensive multi-language documentation from the source branch.

✅ Verification

• All Python modules import successfully
• Dependencies install without errors
• Code structure validated across all three language implementations
• Total of 37 files now present in the repository

This merge fulfills the requirement to completely pull/merge the copilot fix branch into gabriel-saco, providing a robust foundation for high-dimensional linear models coursework with implementations in Python, Julia, and R.

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