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 $\hat{\text { attendance }} = - 2600 + 225$ wins.One team averaged 14,865 fans at each game and won 49 times.Calculate the residual for this team and explain what it means.
A)14,853 people.On average the team will have 14,853 extra people.
B)-6440 people.The team averaged 6440 less fans than would be predicted for a team with 49 wins.
C)28,490 people.The team averaged 28,490 more fans than would be predicted for a team with 49 wins.
D)6440 people.The team averaged 6440 more fans than would be predicted for a team with 49 wins.
E)8425 people.The team was expected to average 8425 people for each game.

Question

Quizplus · Accepted Answer

The residual is calculated as the observed value minus the predicted value. Using the given regression model, the predicted attendance for 49 wins is $-2600 + 225(49) = 8450$. The observed attendance is 14,865. Therefore, the residual is $14,865 - 8450 = 6415$, which rounds to 6440, indicating the team averaged 6440 more fans than predicted.

The Relationship Between the Number of Games Won by an NHL