Justifying a Claim About the Slope of a Regression Model

AP Statistics· difficulty 4/5

A least-squares regression of weight (lb) on height (in) yields y^=150+4.5x\hat y = -150 + 4.5x. The correct interpretation of the slope is

  • A

    Each additional inch of height is associated with an estimated 4.5-lb increase in weight

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  • B

    Each additional pound of weight is associated with 4.5 more inches of height

  • C

    Weight equals 4.5 times height

  • D

    Tall people weigh exactly 4.5 lb

Explanation

Slope of ŷ on x: ΔY per unit X. "Associated with" emphasizes the regression is correlational, not causal.

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