3. Consider the regression model Ti 2 x;- + 51;, i = l? ..., n1. 1where e; E N (D, or]. {a} Find the least squares estimator of .31. {b} For the small sample (xi, 3'1) = {2, 2) and (Kg, n] = {3, 3}, obtain an estimate E1. Also obtain a point estimate of or\". [e] Show that El is unbiased for ,3]. {d} Showr that 32 is an unbiased estimator of :12. [e] Find the variance of 31 and determine the distribution of 31