[WIP] Simulate a data generating process like in Lab2 with only 2 variables X and Y, for $n=1000$. For practical purposes, make the intercept parameter of your data generating process be equal to zero. You are asked to do the following in a loop: - Estimate...

[Copilot]

• Explore repository structure and understand existing codebase
• Examine current part2_overfitting implementations in Python, R, and Julia
• Identify required changes to implement the specified data generating process
• Modify Python implementation to use f_X = exp(4*X) - 1, y = f_X + e
• Modify R implementation to use the same data generating process
• Modify Julia implementation to use the same data generating process
• Test all implementations to ensure they work correctly
• Verify plots are generated correctly demonstrating overfitting
• Document results and ensure proper functionality

Current Status:
Found existing overfitting analysis implementations in all three languages (Python, R, Julia) that currently use a simple linear data generating process (y = 2x + e). Need to modify them to use the exponential data generating process specified in the problem statement: f_X = exp(4X) - 1, y = f_X + e.

Next Steps:
Will modify the generate_data function in each language to implement the required exponential data generating process while maintaining the existing structure for polynomial feature creation, model fitting, and analysis.

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