The total salaries (X, in millions of pounds) and the number of points earned (Y) for the n = 20 English Premier League teams in 1995/6 are used to t a simple linear regression model. For this problem, we will treat this as a sample from a population of all possible league teams. Here are the matrices that we obtained from this data. , _ 20 170.9 , _ 1042 XX [170.9 1745.15] XX [9870.3] (a) Compute (X 'X )_1 and E. (b) Given that l7 = 52.1 and ZELOQYV = 4367.8. Construct the ANOVA table based on this information. (c) Provide 95% condence interval for Bl. (d) Test H0 : 51 = 0 vs 51 75 0 with 07 = 0.05