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More on regression

AP Stats: DAT (BI), DAT‑1 (EU), DAT‑3 (EU), UNC (BI), UNC‑4 (EU), VAR (BI), VAR‑1 (EU)

Inference about slope

AP Stats: DAT (BI), DAT‑3 (EU), DAT‑3.M (LO), DAT‑3.M.1 (EK), DAT‑3.N (LO), DAT‑3.N.1 (EK), UNC (BI), UNC‑4 (EU), UNC‑4.AC (LO), UNC‑4.AC.3 (LO), UNC‑4.AD (LO), UNC‑4.AD.1 (LO), UNC‑4.AF (LO), UNC‑4.AF.1 (LO), UNC‑4.AF.2 (LO), UNC‑4.AH (LO), UNC‑4.AH.1 (LO), VAR (BI), VAR‑1 (EU), VAR‑1.K (LO), VAR‑1.K.1 (EK)

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Introduction to inference about slope in linear regression

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Conditions for inference on slope

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Confidence interval for the slope of a regression line

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Calculating t statistic for slope of regression line

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Using a P-value to make conclusions in a test about slope

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Using a confidence interval to test slope

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Practice

Confidence interval for slopeGet 3 of 4 questions to level up!

Test statistic for slopeGet 3 of 4 questions to level up!

Making conclusions about slopeGet 3 of 4 questions to level up!

Transformations to achieve linearity

AP Stats: DAT (BI), DAT‑1 (EU), DAT‑1.J (LO), DAT‑1.J.1 (EK)

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Transforming nonlinear data

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Worked example of linear regression using transformed data

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About this unit

Learn how to perform inference on slope in least-squares regression. We'll make confidence intervals and do significance tests to see if a linear relationship in a sample suggests a relationship exists in the corresponding population.