Question: 1. Consider a linear regression model Y = X [3 + U , where X is the n X 36 matrix of regressors, and ,8

1. Consider a linear regression model Y = X [3 + U , where X is the n X 36 matrix of regressors, and ,8 is the Fatvector of unknown parameters. Let W be another n x k observable matrix. Assume that W'X has rank is, E(U|X, W) = n, and E(UU'|X, W) = 02.15.. (a) (5 points) Let [3 = (W'X)"1W"Y. Is I} an unbiased estimator of ,8? Carely justify your answer. (b) (5 points) Find Var(,8]X, W). {{5} (5 points) Find Cong}, 3|X. W) where [i is the OLS estimator of (3

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