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Confidence Intervals for the Slope of a Regression Model

AP Statistics· difficulty 3/5

A regression with n = 20 has slope estimate 2.4 with SE = 0.5. Critical value t* = 2.101 (df = 18) for 95% CI.

95% CI for Slope Coef SE df 2.4 0.5 18

What is the 95% CI for beta?

  • A

    (1.35, 3.45)

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  • B

    (1.90, 2.90)

  • C

    (0.0, 4.80)

  • D

    (1.40, 3.40)

Explanation

CI = b ± t* × SE = 2.4 ± 2.101(0.5) = 2.4 ± 1.0505 ≈ (1.35, 3.45).

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