In Python please part B,C

Consider the model t(x; w, o)-f(x; w, ) + ex where f(x; w, o) is a polynomial with respect to x, and ex N(0, a). Answer the following questions: a. Show that the MLE of w is identical to the optimal value for w in LSP. (Hint: slightly 3. modify the derivation for the linear case in lecture note 8 to take into account the powers of x.) Use the MLE to compute wand 2 on the Olympic data for men's 100 meter competition when f(x; w, a) is a polynomial with an order of one through five. b. (f(x; w,o) wo + w1x + + wi X i, for all i, 1 sis 5). Print the results in the IDLE shell. Your print must be similar to the following format for order 1, the log likelihood is kvalues, the variance is svalue> Plot the log likelihoods and 2's versus polynomial orders. c