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I just wanna make sure my answer is correct. 25. In order to estimate the value of a response variable y based on a predictor

I just wanna make sure my answer is correct.

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25. In order to estimate the value of a response variable y based on a predictor variable as, a data scientist decides to use a function of the form g"; = or for some constant 0, along with squared loss. Let the data consist of n points (331,91), (m2, yg), . . . , (mmyn). (a) [3 Pts] Let L(c) be the average loss in using the line 3; = cm as the estimate. Find a formula for L(c). 0 li L191: i 11:1 0311' O u. 21;. 9.: - :22; M) O 1112;; Its - 03%| O 1122;1(917 0591:)2 (b) [4 Pts] Find 0*, the value of c that minimizes the average loss in part (a). 2:"g1 9:: O 231:]. x"- 0 23-1.] my; 231:1 xi. 0 rat where r is the correlation between I and 9, y is the standard deviation of y, and arm is the standard deviation of a: 0 \"i=1 wilyi 2:31:19

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