Question 5 (10 points) For a simple linear regression model Yi = o + Bxi + ;, we have collected 15 samples. Suppose that we have x = 0.85, Y = 25.60, Sex = 19.56, Say = 32.54, Syy = 46.74. When proofreading, we found that one data point is recorded incorrectly. The correct data is (1.2, 32.6), which is recorded as (1.5, 32.3). (a) (5 points) Find the correct OLS estimators for a and B. (b) (5 points) Test Ho : 3 =0 versus H1 : 3 0 at a = 0.01