Question

A certain team had an​ on-base percentage of 0.3260.326 and a winning percentage of 0.5460.546. What is the residual for that​ team? How would you interpret this​ residual?

Answer 1

Answer:

residual value = 0.0749.

the residual is positive, the actual winning percent for this team is more than what is predicted by the regression line.

Step-by-step explanation:

By the least squares regression equation  

Predicted  Value = ^y^=2.94X - 0.4873

The residual is the difference between the observed value and the predicted value of y.  So, when x = 0.3260,

the regression line predicts ^y^ = 2.94(0.3260) - 0.4873 = 0.47114.

The observed value of y is 0.5460.

Therefore, residual = 0.5460 - 0.4711= 0.0749.  

Since the residual is positive, the actual winning percent for this team is more than what is predicted by the regression line.