Linear Regression Models

AP Statistics· difficulty 2/5

A regression predicts weight from height.

Predicting weight (lb) from height (in) y-hat = -120 + 4.5 x x range: 60 to 76 inches R-Sq = 64%

The intercept -120 lb is best described as:

  • A

    The predicted weight when x = 60 inches

  • B

    The slope of the line

  • C

    Not meaningful in context because height = 0 is far outside the data range

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  • D

    The mean weight in the sample

Explanation

Extrapolating to x = 0 (zero inches tall) lies outside the observed range, so the intercept has no real-world meaning here.

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