(All Steps) Basketball: Fouls. Data for this problem are based on information from STATS Basketball Scoreboard. It is thought that basketball teams that make


Question: 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, bet x be the number of fouls more than (ie., 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 y
0 50
2 45
5 33
6 26

Complete parts (a) through (e), given \(\sum{x}\) = 13, \(\sum{y}\) = 154, \(\sum{{{x}^{2}}}\) = 65, \(\sum{{{y}^{2}}}\) = 6290,

\(\sum{xy}\) = 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?

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