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The following problems are review exercises from Section 1.3, 3.2, and 7.1. E. The following data give the expected points for a football team with rst down and 10 yards to go from various points on the field. Yards from Goal (x) Expected Pointstv) 5 5.041 15 4.572 25 3.581 35 3.157 45 2.392 55 1.533 55 0.923 75 0.236 35 U.573 95 l.245 a. Calculate the correlation coefficient. Use the LinReg function on your calculator. Does there appear to be a linear correlation? b. Find the equation of the least squares line. c. Use your answer from part b to predict the expected points when a team is at the 50 yard line. 7. Use graphical methods to solve the following linear programming problem. Maximize Z = 31x + 18y subject to constraints 4x + y S 12 x + 2y 5 10 with x 33 0. y 2 D 8. Let U = {1.2.3.4,5.6,7,B.9}. P = [2.4.6.8}.Q = {2.3.45.6}. and R = {12.3.8.9}. List the members of each set, using set braces. a. PUQ b P'nR c. Q'URr d. Qn(PuR) e RU(PnQ')