In: Statistics and Probability
3. Consider the simple linear regression Yi = 2Xi + ui for i = 1, 2, . . . ,n. The ui are IID (0; 2 ).
a. Derive OLS estimator of 2 and called it b 2
b. Find its variance
c. Is b 2 unbiased, show it?
d.What is the risk we run when we do not include an intercept in the regression?
Do question d.