The relationship between the number of games won during one season by a minor league baseball 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


y-hat = -2600 + 222 wins

where y-hat is the predicted average attendance.

A team with 79 wins had a residual of 1562. What was the actual average attendance for this team?

To find the actual average attendance for the team with 79 wins, we can use the given regression model and the residual that is provided.

The regression model is:
y-hat = -2600 + 222 wins

To find the actual average attendance, we need to substitute the number of wins (79) into the equation and solve for y-hat.

Substituting 79 for wins:
y-hat = -2600 + 222 * 79

Calculating:
y-hat = -2600 + 17538
y-hat ≈ 14938

The predicted average attendance (y-hat) for the team with 79 wins is approximately 14938.

However, the question asks for the actual average attendance, not the predicted value. To find the actual average attendance, we need to take into account the residual that is provided (1562).

The residual is calculated as the difference between the actual value and the predicted value (actual - predicted). Since we have the residual, we can modify the equation to solve for the actual average attendance.

Actual Average Attendance = Predicted Average Attendance + Residual

Substituting the values:
Actual Average Attendance = 14938 + 1562
Actual Average Attendance ≈ 16500

Therefore, the actual average attendance for the team with 79 wins is approximately 16500.