The relationship between the number of games won by a minor league baseball team

Question

The relationship between the number of games won by a minor league baseball team and the average attendance at their home games is analyzed. A regression to predict the average attendance from the number of games won has an r^2 = 0.255. The residuals plot indicated that a linear model is appropriate. Interpret r^2 A. The prediction error using the regression line to predict attendance is 25.5% smaller than the prediction error using y bar to predict it. B. The prediction error using the regression line to predict attendance is 25.5% larger than the predation error using y bar to predict it. C. The prediction error using the regression line to predict attendance is 74.5% smaller than the prediction error using y bar to predict it. D. The prediction error using the regression line to predict attendance is 74.5% larger than the prediction error using y bar to predict it. E. The prediction error for predicting attendance is about the same when using the regression line and y

Explanation / Answer

Option-D is the answer

This is because here explained variance=25.5%

so unexplained variance=100-25.5=74.5%

This is larger than when we use to predict Y by it mean ybar

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