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(SW 5.13) Suppose (X, Y) satisfy the least squares assumptions (LSA#1~ 3), and in addition, u; is distributed N(0,02) and is independent of X. (1)

(SW 5.13) Suppose (X, Y) satisfy the least squares assumptions (LSA#1~ 3), and in addition, u; is distributed N(0,02) and is independent of X.

(1) Is B1 unbiased?

(2) Is B the best linear unbiased estimator of B?

(3) How would your answers to (1) and (2) change if you assumed only that (X, Y;) satisfied the least squares assumptions (LSA#1~ 3), and V(u X= x) is constant?

(4) How would your answers to (1) and (2) change if you assumed only that (X, Y) satisfied the least squares assumptions (LSA#1 ~ 3)?

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