Let b^

0, b^ 1, p, b^

k be the OLS estimates from the regression of yi on xi1, p, xik, i 5 1, 2, p, n. For nonzero constants c1, p, ck, argue that the OLS intercept and slopes from the regression of c0yi on c1xi1, p, ckxik, i 5 1, 2, p, n, are given by b

|

0 5 c0b^

0, b

|1 5 1c0/c1 2b^

1, p, b^

k 5 1c0/ck 2b^

k. [Hint: Use the fact that the b^

j solve the first order conditions in (3.13), and the b

|

j must solve the first order conditions involving the rescaled dependent and independent variables.]