Please help with these questions, thank you

A Special Case of Linear Regression 3. (14 points) In this question, we fit two models: y5 = 00 + 05x1 yo = 08 + 01x1+02x2 using L2 loss. The superscript S is to denote a Simple Linear Regression (SLR) and O is used to denote an Ordinary Least Square (OLS) with two features, respectively. The data are given below: Y bias X.1 X. 2 COL (a) (3 points) Find 05 and Of using the formulas derived in lecture 10 (05 = roy and 05 = y - 05x). Show all steps. You may find it helpful to keep intermediate steps in the square root (they cancel out nicely at the end!). Homework #6 8 (b) (2 points) Find es = using the formula derived in lecture 12: 05 = (XX)-IXTY. Explicitly write out the matrix X for this problem and show all steps. How does it compare to your answer to part a)? (Hint: 8 8 - 1/a (c) (1 point) Find the MSE for the SLR model above. (As a sanity check, the sum of residuals should be 0.)