Basketball: fouls
Data for this problem are based on information from stats basketball scoreboard. 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 them (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 45 33 26
Complete parts (a) through (e) given ?× = 13, ?y = 154, ?×2 = 65, ?y2 = 6290, ?×y = 411, and r = -0.988.
(f) if a team had x = 4 fouls over and above the opposing team what does the least-squares equation forecast for y?