Long Answer (45 points) Question 9 Obs # Team Wins Avg. Shots Against 4 Vancouver Y1 = 40 X1 = 30.77 5 Tampa Bay Y2 = 51 X2 = 28.86 3 Edmonton Y3 = 49 X3 = 30.75 4 New Jersey YA = 27 X4 = 30.88 5 Seattle Y's = 27 X's = 28.39 Table 1: Average shots against and wins in 2021-2022 NHL season Be sure to show your work, you will not get full credit otherwise! And don't forget to round your answers to two decimal places. (a) Calculate the mean of each of these variables. (b) Calculate the variance of each of these variables. (c) Calculate the standard deviation of each of these variables. (d) Calculate the covariance between these two variables.(e) Calculate the slope (regression) coefficient for the variables when wins are the dependent variable and average shots against per game is the independent variable. (f) Are these two variables positively correlated, negatively correlated, or uncorrelated? Explain