1. Consider linear regression

Yi = Bo + B1x1 + ...+ Bpxip + Ui; i = 1,..., n

where the error terms ui ~ N(0, o2) are independent and are indepen- dent of x-variables, the x-variables are not collinear, and E i=1(Xij - xj;)2 > 0 for all j = 1, ... , p, where xj is the sample mean of variable xj.

Select TRUE or FALSE for the following statements:

(a) The OLS estimators B, of the parameters 3,, j= 0, 1,....p, are BLUE.

(b) The OLS estimators 3, of the parameters 3,, j= 0, 1, .. . .p, are unbiased but they are not BLUE.

(c) The OLS estimators 3, of the parameters 3,. j= 0, 1,.. .p. are minimum variance unbiased estimators.