Question: (a) You are given a data set S = (x1, y1), . . . , (xt, yt) where each xi and yi are real numbers.

(a) You are given a data set S = (x1, y1), . . . , (xt, yt) where each xi and yi are real numbers. You perform simple linear regression to obtain the line 0 + 1x. Now re-scale the yis so that yi = yi for some real number . Perform simple linear regression again. How do the coefficients 0, 1 change for the new line, quantitatively? You may reason by drawing a picture or using formulas for these coefficients from class. (b) What happens if the xi's are scaled by

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