Please answer the following questions

(15 marks) Consider the following summary statistics, correlation table and regression output. The variable read_scr is the average reading test score for students in a particular school, while the variable avginc represents the mean household income for students in the school, expressed in thousands of dollars. sum read_scr avginc Variable Obs Mean Std. Dev. Min Max read_scr 420 654.9705 20. 10798 604.5 704 avginc 420 15.31659 7. 22589 5.335 55. 328 Question 1 corr read_scr avginc (obs=420) read_ser avginc read_scr 1.0000 avginc 0. 6978 1. 0000 and. reg read_scr avginc Source SS df MS Number of obs = 420 F(1, 418) 396.74 Model 1 82496.6494 Prob > F 0.0000 Residual 0. 4870 J 418 207.937754 R-squared Adj R-squared 0. 4857 Total 169414.631 419 404.330861 Root MSE K read_scr Coef. Std. Err. t [95% Conf. Interval] avginc A D 0.000 E 2. 133504 _cons C F 378.76 0.000 G H (a) (4 marks) Solve for A (b) (2 marks each) Solve for B and C. (c) (1 mark each) Solve for D, E, F, G, H, and I. d) (0.5 marks each) Solve for J and KConsider the following table which shows the joint distribution of gender and preferred Question 3 paths, in a random sample of 200 cyclists. Preferred Path Total Lake Hill Wood Gender Male 26 52 12 90 Female 45 38 27 110 Total 71 90 39 200 (a) (6 marks) Let M = 1 if the cyclist is male, and M = 0 otherwise. Let H = 1 if the cyclist prefers the hill path, H = 0 otherwise. Construct a joint probability distribution table of M and H. (b) (3 marks) Are being male and preferring the hill path independent events? (c) (6 marks) Compute the corr(M, H)