Question

The following table and figure display the Number of wins of a MLB baseball team and the average home attendance for a select number of teams in 2016. Wins Home attendance 18761 MLB Home Attendance/ Wins in 19002 2016 y = 439.22% - 7921.1 23451 R = 0.4125 22496 60000 29862 50000 27832 40000 25697 30000 33471 20000 38236 36432 20 40 60 80 100 120 22455 Wins 29879 24563 48654 Home attendance 10000 Using the regression equation provided, and the actual data for the 2016 season, determine the residual" for a 70-win team and it's predicted attendance The residual is -626.7 The residual is 626.7 The residual is 22,824.3 The residual is 23,451 h anthe determined

Answer 1

The residual of the regression line or equation s is calculated as:

Residual = Observed value - Predicted value e = y ý

Here, at X = 70 the actual or observed value is 23451 and the predicted value is calculated using the regression equation which is:

y = 439.22*X -7921.1 thus at X = 70 the predicted value is:

y = 439.22*70 -7921.1

y = 22824.3

Now based on the residual formula the residual will be:

e = 23451- 22824.3

e = 626.7

So, the residual is 626.7