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

(a) Suppose that the X-values in Davis’s regression of measured on reported weight are transformed according to the equation X0 ¼ 10ðX ' 1Þ and that Y is regressed on X0

.

Without redoing the regression calculations in detail, find SEðB0

Þ and t 0

0 ¼ B0

=SEðB0

Þ.

(b) Now, suppose that the Y values are transformed according to the equation Y00

¼ 5ðY þ 2Þ and that Y00 is regressed on X. Find SEðB 00Þ and t 00 0 ¼ B 00=SEðB 00Þ.

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