Using the data in Exercise 1, show that the estimate of the slope given by βˆ ch is XXXXXXXXXXIn contrast, the OLS estimate is 0.0045, and βˆ m = XXXXXXXXXXComment on the difference among the three...

Using the data in Exercise 1, show that the estimate of the slope given by βˆ
_ch
is 0.0057. In contrast, the OLS estimate is 0.0045, and βˆ
_m
= 0.0042. Comment on the difference among the three estimates.

Let T be any regression estimator that is affine equivariant. Let A be any nonsingular square matrix. Argue that the predicted y values, yˆi, remain unchanged when x_i
is replaced by x_iA.