here's my question

2. We consider an altered regression problem for random variables X and Y. Let 3:1, . . . , mn be the values observed from a random sample of X. We assume that the conditional expected value of Y depends linearly on the value of X , and that we know that the slope of the line is double the yintercept; in other words, we assume K=5+25$i+ia where [3 is unknown, 51, . . . ,5\" are independent and identically distributed N (0, 02) with un- known 02. (a) (10 points) Find the maximum likelihood estimators for B and 02. Show all work that justies your answer. (b) (4 points) Suppose you take three samples and observe (3:1,y1) = (1, 4), (3:2, y2) = (0, 1), and ($3,y3) = (3, 6). Compute the point estimate for B using the maximum likelihood estimator from part (a). (c) (4 points) What are the residuals for this model? What do the residuals measure? 2 Hint. The maximum likelihood estimator for a is the average of the squares of the residuals