Hw#1: One Dimensional Regression

Correction: To see overfitting for higher order polynomials you should use the following small training data

Given the training data, validation data and their plot, you are asked to do the following:

• fit polynomials of order zero to ten; for each one, report
  • training error
  • validation error
  • weight parameters of fitted polynomial
  • plot of fitted polynomial together with the training data
• plot training and validation errors of fitted polynomials as a function of the polynomial order

Also derive equations of weight parameters for first-order polynomial, namely w₀ and w₁ in y = w₀ + w₁x.

You should submit:

• all the the program code that does the calculation and plotting
• the graphs
• a report that gives your results

Submit hard copies (to homework box in ETA 11 PCLAB); do not submit any part of your homework by email/floppy/CD. This homework is due Friday, March 2, 14:00.

General policy: If you return your homework by next Monday, you get 50% of your grade. Any later submission will not receive any grade but ALL homeworks should be completed to pass the course.