Problem 10. Consider the simple linear regression model Yi = Bo + Bici + ci, for i = 1, 2, ..., n, and ci ~ N(0, 62). Here xi is a binary regressor variable defined as Ci in1, for ni n 1 , a. Derive the least squares estimators for Bo and B, in terms of Yi's. b. Determine the test of Ho : B1 = 0. c. Compare the test in part (b) to the pooled t-test for Ho : M1 = /2, where M1 = E(Yixi = 1), and /2 = E(Yilxi = 0)<.>