The relationship between the number of games won by an NHL team and the average attendance at their home games is analyzed.A regression analysis to predict the average attendance from the number of games won gives the model = -3,000 + 176 wins.One team averaged 4,240 fans at each game.They won 57 times.Calculate the residual and explain what it means. A)17,272 people.The team averaged 17,272 less fans than would be predicted for a team with 57 wins. B)2,792 people.The team averaged 2792 more fans than would be predicted for a team with 57 wins. C)-2,792 people.The team averaged 2792 less fans than would be predicted for a team with 57 wins. D)4,223 people.On average the team will have 4,223 extra people. E)7,032 people.The team were expected to average 7,032 people for each game.

Question

Quizplus · Accepted Answer

Using the regression equation, we can predict the average attendance for a team with 57 wins:
Average attendance = -3,000 + 176(57) = 7,032
However, the actual average attendance for the team in question is given as 4,240. Therefore, the residual is:
Residual = Actual average attendance - Predicted average attendance
Residual = 4,240 - 7,032
Residual = -2,792
This means that the team averaged 2,792 less fans than would be predicted for a team with 57 wins.

The Relationship Between the Number of Games Won by an NHL