Carrying Out a Test for the Slope of a Regression Model

AP Statistics· difficulty 2/5

A regression output for n = 18 reports slope p-value of 0.183.

Output (n=18) Pred Coef t p x 0.40 1.40 0.183

At alpha = 0.05, what conclusion?

  • A

    Slope is exactly 0

  • B

    Fail to reject H0; insufficient evidence of nonzero slope

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  • C

    Reject H0

  • D

    Accept H0

Explanation

With p = 0.183 > alpha = 0.05, fail to reject H0; insufficient evidence of a non-zero linear relationship.

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