Linear transformation of X and Y:

(a) Suppose that the explanatory-variable values in Davis’s regression are transformed according to the equation X0 ¼ X & 10 and that Y is regressed on X0

. Without redoing the regression calculations in detail, find A0 , B0 , S0 E, and r0 . What happens to these quantities when X0 ¼ 10X? When X0 ¼ 10ðX & 1Þ ¼ 10X & 10?

(b) Now suppose that the response variable scores are transformed according to the formula Y00 ¼ Y þ 10 and that Y00 is regressed on X. Find A 00 , B 00 , S 00 E; and r 00 . What happens to these quantities when Y00 ¼ 5Y? When Y00 ¼ 5ðY þ 2Þ ¼ 5Y þ 10?

(c) In general, how are the results of a simple-regression analysis affected by linear transformations of X and Y?