3. Consider an alternative linear estimator of the slope: Y, -Y X₂-X₁ where we are using only two points of data, although n >> 2 observations may be available. First, without

doing any calculations, why is B, a logical estimator of B₂? Show that this new estimator is unbiased. That is, show E(B₂)=B₂. Why is this estimator not consistent? Without any derivations, provide a brief, yet complete, argument for the claim that the OLS estimator is more efficient than this new estimator. a. b. C. B₂= 2