Inference for Quantitative Data: Slopes — AP Statistics

9. Inference for Quantitative Data: Slopes

2–5% of the AP exam. Key topics: Inference for regression slope β: conceptual framework, t-test for slope: hypotheses H₀: β = 0 vs. Hₐ: β ≠ 0 (or one-sided), t-interval for slope b, Conditions for regression inference: Linear, Independent, Normal, Equal variance, Random (LINE + R), Reading and interpreting computer regression output (coefficient table, SE, t-statistic, p-value), Standard error of the slope SE_b, Degrees of freedom for regression t-procedures: df = n − 2.

2–5% exam weight standard track

Unit 9: Inference for Quantitative Data: Slopes

Study guide content for this unit is being prepared. Check back soon for complete lesson notes, formula sheets, and worked examples.

Topics in this unit

Inference for regression slope β: conceptual framework
t-test for slope: hypotheses H₀: β = 0 vs. Hₐ: β ≠ 0 (or one-sided)
t-interval for slope b
Conditions for regression inference: Linear, Independent, Normal, Equal variance, Random (LINE + R)
Reading and interpreting computer regression output (coefficient table, SE, t-statistic, p-value)
Standard error of the slope SE_b
Degrees of freedom for regression t-procedures: df = n − 2