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...

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
= 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?