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Suppose that we would like to estimate the random variable Y by observing the random variable X : Y ^ =f(X) The goal is to

Suppose that we would like to estimate the random variable Y by observing the random variable X : Y ^ =f(X) The goal is to minimize EPE(f)=E[(Yf(X)) 2 ]. Show that the minimizing function is given by: f(x)=E(YX=x)

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