Statistics Solutions

[See Steps] Basketball: Fouls Data for this problem are based on information from STATS Basketball Scoreboard. It is thought that basketball teams that

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. 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.

Draw a scatter diagram displaying the data. Find the value of the sample correlation

coefficient r. Find a, and b. Then find the equation of the least squares line. Graph the least-squares line on your scatter diagram.

x y
0 50
2 45
5 33
6 26

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