please attempt this manually by hand. thanks

Class Assessment 1: 2021 Sem 1 (102 out of 109) Question : Suppose that you are head of personnel at AA Corp. You keep getting other people's mall by mistake, so you wish to conduct a study of mailroom productivity. You take a random sample of 30 mailroom employees and gather dahl on the following variables: Productivity (PROD . letters correctly sorted per minute). Experience (EXP - months of experience in the AA Corp. mailroom), and Aptitude score (SCORE = score on the test they took when they applied for a job at AA Corp.) You generate the following regression equation: Predicted PROD = 2.0 + 0.5 EXP + 0.2 SCORE + error va) Andrew has just been hired, and has an aptitude score of 65. What level of productivity would you expect from Andrew? How much is Andrew's productivity expected to improve after 6 months in the job? c) Jack has 3 months more experience than Mary, but Mary's aptitude score is 20 points higher than Jack's. Who is expected to be more productive? Let (xx]' be the following matrix 0.301948 -0,00187 -0.00354 -0.00187 0/000030 0.000004 -0.00354 0.000004 0.000072 and in addition if MSE=1000 calculate the variance of the coefficient of the aptitude score and check the hypothesis that the experience is significant at significant level a=5%