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3. Consider the following (simple) linear regression model Y = BX + 6, where X and & are random variables having bivariate normal distribution with
3. Consider the following (simple) linear regression model Y = BX + 6, where X and & are random variables having bivariate normal distribution with zero means (i.e., E[X] = 0 and E = 0) and variances Var[X] = o, and VarE - o, and cor- relation Corr(X, E) = p. Let (X1, Yl), ..., (Xn, Yn) be an iid sample (data) satisfying this model, and B be the corresponding least squares estimator of B. Compute the bias E[ B] - B
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