Let 0 , 1 , . . . , k be the OLS estimates
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Let β̂0, β̂1, . . . , β̂k 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 β̃0 = c0 β̂0, β̂1 = (c0/c1) β̂1, . . . , β̂k = (c0 /ck) β̂k.
Use the fact that the β̂j solve the first order conditions in (3.13), and the β̂j must solve the first order conditions involving the rescaled dependent and independent variables.
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Related Book For
Introductory Econometrics A Modern Approach
ISBN: 9781337558860
7th Edition
Authors: Jeffrey Wooldridge
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