Student Name: Simone Iudice Assignment: Week 9 - Monte Carlo OLS & Numerical Integration

Overall Assessment

Grade: ✅ (Pass)

The submission is excellent. The Monte Carlo simulation is complete and correct. The numerical integration section correctly identifies the parity requirement for Simpson’s rule and handles it by truncating even grids to an odd number of points. The code is well-structured and documented.

Task-by-Task Check

  1. Function Definition: ✅ montecarlo_ols is correctly defined.
  2. DGP Logic: ✅ Correct.
  3. OLS Logic: ✅ Correct.
  4. Execution: ✅ Correct loops.
  5. Visuals: ✅ Histograms saved.
  6. Statistics: ✅ Stats computed.
  7. Interpretation: ✅ Correct.
  8. Utility Function: ✅ Correct.
  9. Trapezoidal Rule: ✅ Correct.
  10. Simpson’s Rule: ✅ Correct. You explicitly check if mod(N, 2) == 0 and truncate the grid. This is the correct numerical approach.
  11. Grid Loop: ✅ Correct.
  12. Visuals: ✅ Convergence plot saved.
  13. Interpretation: ✅ Correct.

Technical Implementation

  • Robustness: Excellent.
  • Code Quality: High.

Suggestions for Improvement

  • None.

Summary

13/13 tasks correct. Excellent work.