Consider the regression model Y₁ = BXi + Ui, E[U₁|X₁] =c, E[U? | X₂] = o² <[infinity], E[X₂] = 0, 0
(a) Compute E[X;U;] and V[X;U;]
(b) Derive the OLS estimator of 3
(c) Find the probability limit of the OLS estimator
(d) For which value(s) of c is ordinary least squares consistent?
(e) Find the asymptotic distribution of the ordinary least squares estimator
