(asi der model the following Y X, B + X. B, + E Where vec tors cand B; oNe vectos K; x1, whoc j=1,2 Prove the theovem of Fisch- Waugh- Lovell, X ave matices K; x 1, whee j=4,2 y and E nx 1 ave Find the distiibution f the estimator by OLS in X- [Xs, X2] when'e \X-N(0,| Condi tioned c) If BE0. Can B be estimated using only X, ! Define this resticted estima tor as B De ter mine its distibuton and compare with that of the estimator Bz

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