We investigate the solution of regression. For simplicity, we have only one feature x to predict y. Suppose we are given samples (x1, y1), ..., (Xn, yn). Wo, wi are parameters, and we are to find parameters that best fit the following relation: wo + W1Xi = yi. (a) Centering. [5 pts) Let = 1 {i=1 Xi and x' = Xi . X'; are called centered since 1-1 X'= 0. Let i be the values predicted by Li, wo, W1: i = wo + W12;. Show that can be predicted by x', as well. That is, there are parameters wo, w such that i = wo + wix, and write wo, w in terms of wo, w1, and , but not xi