題組內容

4. (Total 40%) Consider a multiple linear regression model as61dba2a9a5213.jpg

whereβo is the intercept, βjis the slope parameter associated withXj (j = 1,2, ..., k).

Given n observationson Y, 61dba3a8b04fc.jpg) : i = 1.2.... ,n}.Let

61dba3d1969de.jpg=0,1,... . , k, be the ordinary least squares (OLS) estimates for the parameters

of this model,61dba3f27354c.jpg denote the residual associated with the i-th observation, and tjde-

note the t-ratio for Bj j = 0,1

(1) (10%) Find61dba4545f791.jpg