Setting Up a Test for the Slope of a Regression Model

AP Statistics· difficulty 2/5

A regression of test score on study hours yields slope = 5.2 with SE = 1.3 from n = 25 observations.

Regression Output Coef SE t 5.2 1.3 4.0

At alpha = 0.05, what conclusion for H0: beta = 0?

  • A

    Cannot test slope this way

  • B

    Fail to reject H0

  • C

    Accept H0

  • D

    Reject H0; slope is significantly different from 0

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Explanation

With t = 4.0 and df = 23, the p-value is far below 0.05. Reject H0; the slope is statistically significant.

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