b. Is the least-squares estimator unbiased? BLUE? Asymptotically unbiased? c. Letting x = [; ~~], 1 Xn

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b. Is the least-squares estimator unbiased? BLUE?

Asymptotically unbiased?

c. Letting x = [; ~~], 1 Xn

(a symmetric, posltlve definite matrix) as n -+

00, would it follow that the least-squares estimator is consistent and asymptotically normally distributed?

Why or why not?

d. Letting _ [In.YI Y. - : ]

InYn and fJ be the BLUE of f3, is it true that S2 = (Y. - xfJ)' (Y. - xfJ) j(n - 2)

is an unbiased and consistent estimator of ab2?

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