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Statistics · AP · Exploring Two-Variable Data

CED focus

Least Squares Regression

This topic is assessed on the AP Exam.

Multiple-choice tips

  • Interpret slope and intercept in context on MC regression items.
  • Eliminate r vs slope confusions.
  • Check residual plots for linearity in MC.
  • Watch extrapolation beyond the data range.

Free-response tips

  • Write slope interpretation as a full sentence with units.
  • Explain r² as percent of variation explained in context.
  • Comment on residual pattern for linearity.
  • State whether prediction is interpolation or extrapolation.

Common traps

  • Interpreting r as slope
  • Extrapolating far beyond observed x-values
  • Ignoring curved residual patterns

Quick checklist

  • [ ] Can interpret regression slope in context
  • [ ] Can explain r² in plain language
  • [ ] Can read a residual plot for fit

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