Residuals

AP Statistics· difficulty 3/5

Output for predicting weight from height shows residual SD s = 10.

Predicting weight from height y-hat = -120 + 4.5 x s = 10 lb (residual SD) R-Sq = 64%

Which interpretation of s is best?

  • A

    The line passes within 10 inches of every point

  • B

    Typical prediction error is about 10 lb

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  • C

    10 lb equals the slope of the line

  • D

    About 10% of observations are below the line

Explanation

s estimates the typical (root-mean-square) size of residuals, i.e., the typical prediction error.

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