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7 March, 20:20

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?

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  1. 7 March, 21:28
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    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.
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