here's my question

4. 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 cenditional expected value of Y depends quadradically (rather than linearly) on the value of X , and that the conditional expected value of Y is 0 when X is 0. In other words, we assume Y; = 3373 + 51': where B is unknown, 51, . . .7511 are independent and identically distributed N (0, 02), where 02 iS unknown. 51. Find the maximum likelihood estimators for [3 and 02. N ate. You must Show your work deriving the formulas of the MLE'S, but you may skip the details involving the second derivative of the likelihood function. \fb . We apply our model to the two sets of data depicted above, both of which have the same regression curve y = 11:2. Determine which data set has the larger 02. Give a cenvincing but succinct argument to justify your