Let b ^ 0, b ^ 1, . . . , b ^ k be the OLS estimates from the regression of yi on xi1, . . . , xik, i 5 1, 2, . . . , n. For nonzero constants c1, . . . , ck, argue that the OLS intercept and slopes from the regression of c0yi on c1xi1, . . . , ckxik, i 5 1, 2, . . . , n, are given by b |= 5 c0b ^ 0, b |1 = (c0/c1) b ^ 1, . . . , b ^ k = (c0 /ck)b ^ k. [Hint: Use the fact that the b ^ j solve the first order conditions in (3.13), and the b| conditions involving the rescaled dependent and independent variables.]