6.2 Let 0, 1, ..., k be the OLS estimates from the regression of yi on xi1, ..., xik, i 1,

6.2 Let ˆ 0, ˆ 1, ..., ˆ k be the OLS estimates from the regression of yi on xi1, ..., xik, i
1, 2, ..., n. For nonzero constants c1, ..., ck, argue that the OLS intercept and slopes from the regression of c0yi on c1xi1, ..., ckxik, i
1, 2, ..., n, are given by ˜ 0
c0ˆ 0, ˜ 1
(c0/c1)ˆ 1, ..., ˜ k
(c0/ck)ˆ k. (Hint: Use the fact that the ˆ j solve the first order con ditions in (3.13), and the ˜ j must solve the first order conditions involving the rescaled dependent and independent variables.)