AP®︎ Statistics (pre-2026): Topic 9.2 Flashcards

Master key terms and definitions for Topic 9.2 of AP Statistics (pre-2026) – Confidence Intervals for the Slope of a Regression Model to help you prep for quizzes and the AP exam.

This course has been archived. The College Board updated AP Statistics for the 2026–27 school year, and the units and topics changed.
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Term

Residual

Definition

The observed y-value minus the predicted y-value from the sample regression line.

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Residual
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The observed y-value minus the predicted y-value from the sample regression line.

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Confidence Interval for the Slope
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An interval, b ± t*SEb, that likely captures the true population slope β.

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Population Slope, Sample Slope, and Sampling Distribution of b
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The sample slope b estimates β, and across many samples b is centered at β.

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Margin of Error and Standard Error for Slope
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The margin of error is t*SEb, where SEb = s/(sx√(n−1)).

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Standard Deviation of the Residuals
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It estimates σ by √[Σ(y−ŷ)²/(n−2)] because two regression parameters are estimated.

UNC-4.ACUNC-4.AC.1
Conditions for a Confidence Interval for Slope
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Check linearity, constant variance, independence, and approximately normal responses for each x-value.

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Degrees of Freedom for Slope Inference
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Use n−2 degrees of freedom because both the intercept and slope are estimated.

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