Justifying a Claim About the Slope of a Regression Model

AP Statistics· difficulty 2/5

Output is shown for predicting test score from hours studied.

Regression Output Predictor Coef SE Constant 12.4 2.1 Hours 3.7 0.5 S = 4.2 R-Sq = 78.0% y = score, x = hours studied

Which is the correct interpretation of the slope?

  • A

    For each additional point on the test, hours increase by 3.7

  • B

    For each additional hour studied, predicted score increases by 3.7 points

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  • C

    The score is 3.7 when hours = 0

  • D

    Studying causes a 3.7-point gain

Explanation

Slope is the predicted change in y per one-unit increase in x. Here predicted score rises 3.7 points per extra hour.

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