AP®︎ Statistics (pre-2026): Topic 9.3 Flashcards

Master key terms and definitions for Topic 9.3 of AP Statistics (pre-2026) – Justifying a Claim About the Slope of a Regression Model Based on a Confidence Interval 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This course has been archived.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.
Go to the new AP® Statistics
0%
12 cards total
12 not started
0 learning
0 almost done
0 mastered
Term

Confidence Interval for the Slope

Definition

An interval of plausible values for the true population regression slope.

1 / 12
Confidence Interval for the Slope
Not Started

An interval of plausible values for the true population regression slope.

UNC-4.AG
Point Estimate for the Slope
Not Started

The sample regression slope b from the least-squares regression line.

UNC-4.AG
Slope Confidence Interval Formula
Not Started

Compute as b plus or minus t star times the standard error of b.

UNC-4.AG
Degrees of Freedom for Slope Interval
Not Started

Use n minus 2 degrees of freedom when finding t star for regression slope.

UNC-4.AG
t Star for a Slope Confidence Interval
Not Started

The critical value from the t distribution for the chosen confidence level and n minus 2 degrees of freedom.

UNC-4.AG
Slope and Linear Correlation
Not Started

A zero slope suggests no linear association; a positive or negative slope suggests linear association.

UNC-4.AHUNC-4.AH.1
Effect of Sample Size on Interval Width
Not Started

With all else fixed, larger samples produce narrower confidence intervals for the slope.

UNC-4.AIUNC-4.AI.1
Standard Error of the Slope
Not Started

The estimated variability of the sample regression slope from sample to sample.

UNC-4.AG
Effect of Confidence Level on Interval Width
Not Started

Higher confidence levels produce wider intervals because they require larger critical values.

UNC-4.AG
Confidence Level
Not Started

In repeated same-size random samples, about C% of intervals capture the true slope.

UNC-4.AGUNC-4.AG.1
Interpreting a Confidence Interval for Slope
Not Started

State that you are C% confident the population slope lies between the endpoints in context.

UNC-4.AGUNC-4.AG.2
Using a Confidence Interval to Justify a Claim About Slope
Not Started

Support claims whose slope values fall inside the interval and question values outside it.

UNC-4.AHUNC-4.AH.1