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6. In this problem, we will consider a simple learning scenario where :1: E R and y E R is given by y = 232.
6. In this problem, we will consider a simple learning scenario where :1: E R and y E R is given by y = 232. In other words, h* (:12) = 11:2. Assume that the input variable a: is an independent sample from a normal distributiOn with zero mean and variance 1. Now suppose that we are given two independent observations of input output pairs, i.e., our data set is given by D = {($17 37$): (3727323)} (a) Suppose our hypothesis set consists of horizontal lines, i.e., \"H 2 h(:r:) = b. We will t the line by setting hp (53) = \"1-592 = . For this case, analytically derive the average hypothesis 77433) = EDlhD($)l (2) (b) Next, analytically compute the bias, i.e., Ex [(MX) woof] (3) (c) Now, analytically compute the variance EX [1% [(hpm 5(X))2]] (4)
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