Justifying a Claim About the Slope of a Regression Model

AP Statistics· difficulty 4/5

A 95% CI for slope is (1.2, 4.6).

95% CI: (1.2, 4.6) 1.2 4.6

Which statement is correct?

  • A

    The procedure that produced this CI captures the true slope 95% of the time in repeated sampling

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  • B

    There is a 95% probability the slope is in this interval

  • C

    95% of slopes lie in this interval

  • D

    95% of data points are between 1.2 and 4.6

Explanation

The frequentist interpretation refers to the procedure: across many random samples, 95% of constructed intervals would contain the true beta.

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