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Mathematics · Grade 10

Association and Regression

Learners study relationships between two quantitative variables. They describe scatterplots, interpret the correlation r and its properties, build the least-squares regression line from summary statistics, interpret slope, intercept and r² in context, use residuals and residual plots to judge fit, recognize outliers and influential points, avoid extrapolation, and separate correlation from causation. An optional honors lesson straightens curved data with logarithms.

  • 5 lessons
  • About 150 minutes
  • Association and regression check: 11 questions
  • Ways to answer: choose an answer, highlight a text, match pairs, type a number, true or false and write a short answer
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What learners will discover

  • Describe scatterplots by direction, form, strength and unusual features, and interpret the correlation r.
  • Find and interpret the least-squares regression line, using slope = r × (SD of y ÷ SD of x) and the point (x̄, ȳ).
  • Assess a linear model with residuals, residual plots and r², and recognize outliers, influential points and extrapolation.
  • Distinguish correlation from causation and identify plausible lurking variables.

Lessons

  1. Scatterplots and correlation 5 steps3 practiceabout 32 min
  2. The least-squares regression line 5 steps3 practiceabout 34 min
  3. Residuals, r² and influence 6 steps4 practiceabout 36 min
  4. Correlation is not causation 4 steps2 practiceabout 26 min
  5. Going further (honors): straightening curved data 4 steps2 practiceabout 22 min
  6. Association and regression check 11 questions at the end

Keep exploring

More 10th grade math

Guide for grown-ups