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Confidence Intervals for the Slope of a Regression Model

AP Statistics· difficulty 3/5

Two studies measure the same relationship; Study A has n = 25 with SE(b) = 0.6, Study B has n = 100 with SE(b) = 0.3.

Comparing Studies A: n=25, SE(b)=0.6 B: n=100, SE(b)=0.3 Same slope estimate

Which study yields a tighter CI for slope?

  • A

    Study A

  • B

    Both equal

  • C

    Study B (smaller SE)

    check_circle
  • D

    Cannot determine

Explanation

A smaller SE produces a smaller margin of error and a tighter (narrower) confidence interval.

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