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 (i.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. lg USE SAL Complete parts (a) through (e), given 2x = 16, 2y = 153, 2x2 = 78, Eyz = 6191, ny = 550, and r z 0.9003. (a) Draw a scatter diagram displaying the data. (b) Verify the given sums Ex, Ey, Ex, Ey', Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) EX = Ey = Ex2 = Ey? = 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 = X (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line