Linear transformation of X and Y in simple regression (continuation of Exercise 5.4): (a) Suppose…

Linear transformation of X and Y in simple regression
(continuation of Exercise 5.4):

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(a) Suppose that the X-values in Davis’s regression of
measured on reported weight are transformed according to the equation X0
= 10(X ‘ 1+ and that Y is regressed on X0 . Without redoing the
regression calculations in detail, find SE(B0 ) and t 0 0 = B0
=SE(B0 ).

(b) Now, suppose that the Y values are transformed according
to the equation Y00 = 5(Y þ 2) and that Y00 is regressed on X. Find SE(B 00)
and t 00 0 + B 00=SE(B 00).

(c) In general, how are hypothesis tests and confidence
intervals for β affected by linear transformations of X and Y?