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Professor E.Z. Stuff has decided that the least squares estimator is too much trouble. Noting that two points determine a line, Dr. Stuff chooses two points from a sample of size N and draws a line between them, calling the slope of this line the EZ estimator of B2 in the simple regression model. Algebraically, if the two points are (xı,y) and (x2,y2), the EZ estimation rule is 2.8 y2-y1 EZ Assuming that all the assumptions of the simple regression model hold: (a) Show that bez is a linear estimator. (b) Show that bgz is an unbiased estimator. c) Find the variance of bEz ( - (d) Find the probability distribution of bEz-

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