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Confidence Intervals for the Slope of a Regression Model

AP Statistics· difficulty 3/5

The regression output shows SE(slope) = 0.8.

SE(slope) SE(b) = 0.8

What does SE(slope) measure?

  • A

    Half-width of CI

  • B

    Standard deviation of residuals

  • C

    Standard deviation of x

  • D

    Variability of the slope estimate from sample to sample

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Explanation

SE(slope) is the estimated standard deviation of the sampling distribution of b — how much b varies across samples.

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