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Mathematical proof's Problem 1 . 120 points 10- 101") Let * * * and * 2 { { be random variables and where FIE! _ O and FLEX] = `?


for reference, The Elements of Statistical Learning Textbook (2nd edition)Screen Shot 2019-05-02 at 9.16.42 AM.png

Screen Shot 2019-05-02 at 9.16.42 AM.png

Mathematical proof's
Problem 1 . 120 points 10- 101")
Let * * * and * 2 { { be random variables and
where FIE! _ O and FLEX] = `?
( a) Consider the class of multiplicative predictors of the form may , 12 ) = Gazing . Let {" be the best
predictor , that is , `" minimizes Fix." It - BAILEY . Find an expression for }" .
( 6) Suppose the true regression function is
Y = XI thatE.
AlED assume that FILI! _ FIXED - O. FIFTY - FIFTY! _ I and that I] and { { are independent .
Find the predictive risk R _ FLY - @* *1 {{!' where @* was defined in (a) .

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