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Statistics · AP · Inference for Quantitative Data — Slopes

CED focus

Confidence Intervals for the Slope of a Regression Model

This topic is assessed on the AP Exam.

Multiple-choice tips

  • Match procedure to parameter and design before calculating.
  • Match slope inference to regression output on MC.
  • Eliminate correlation tests when slope inference is needed.
  • Check linearity and residual conditions from descriptions.
  • Interpret computer output labels (SE, t, p) correctly.

Free-response tips

  • Use State–Plan–Do–Conclude with conditions and context throughout.
  • Interpret β₁ slope in context with units.
  • State hypotheses about the population slope.
  • Comment on residual plot for conditions.
  • Write a CI for the slope in a full sentence.

Common traps

  • ‘Accept H₀’ wording or skipping conditions
  • Testing correlation instead of slope
  • Ignoring residual patterns for conditions
  • Misreading regression computer output

Quick checklist

  • [ ] Can interpret slope from regression output
  • [ ] Can state conditions for regression inference
  • [ ] Can write a slope CI in context

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