It is thought that basketball teams that make too many fouls in a game tend to lose the game even ir they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the...

Extracted text: It is thought that basketball teams that make too many fouls in a game tend to lose the game even ir 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. X 0 2 5 6 y 50 43 33 26 A USE SALT Complete parts (a) through (e), given Ex - 13, Ey - 152, Er - 65, Ey? - 6114, Exy - 407, and r-0.9921. (a) Draw a scatter diagram displaying the data 50 50 45 45 40 40 35 30 30 0 25 25 30 35 40 45 50 4 30 35 40 43 50 4 x(fouls) x (fouls) xifouls) x (fouls) (b) Verify the given sums Ex, Zy, Ex, Ey, Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex- Exy= (c) Find x, and y. Then find the equation of the least-squares line -a+ bx. (Round your answers to four decimal places.) (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 50 50 5 5 45 45 40 40 35 30 30 25 25k 30 35 40 45 50 3 30 35 40 45 50 4 x (fouls) x (fouls) х (fouls x (fouls) (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 (r) 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.)