It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (l.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game. X 1 4 5 6 50 42 33 26 LA USE SALT Complete parts (a) through (e), given Ex = 16, Ey = 151, Ex = 78, Ey?= 6029, Exy = 539, and / = -0.9581. (b) Verify the given sums Ex, Zy, Ex , Zy , Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex = Ey = EX- = Eyz = Exy = r = (c) Find x, and y. Then find the equation of the least-squares line y = a + bx. (Round your answers to four decimal places.) X = y = V = (e) Find the value of the coefficient of determination . What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r to four decimal places. Round your answers for the percentages to two decimal place.) explained unexplained (f) If a team had x = 3 fouls over and above the opposing team, what does the least-squares equation forecast for y? (Round your answer to two decimal places.) %