Chapter 6: Bivariate Data Analysis Notes

Scatterplots, describing association, Pearson's correlation coefficient, correlation versus causation, the least-squares line of best fit, interpolation, extrapolation and statistical investigations.

Sections

  1. 6A Scatterplots and describing association Mastered

    Bivariate data, explanatory and response variables, drawing a scatterplot, and describing an association by its direction, form and strength, including outliers.

  2. 6B Pearson's correlation coefficient Mastered

    What Pearson's correlation coefficient r measures, the scale from -1 to 1, classifying strength, finding r with a calculator, and what r cannot tell you.

  3. 6C Correlation and causation Mastered

    Why a strong correlation does not prove that one variable causes the other: lurking variables, coincidence, reverse direction, and how to word conclusions about association.

  4. 6D The least-squares line of best fit Mastered

    Fitting the least-squares regression line with a calculator or from summary statistics, interpreting its gradient and intercept in context, and understanding residuals.

  5. 6E Interpolation, extrapolation and investigations Mastered

    Making predictions from a least-squares line, the difference between interpolation and extrapolation, judging reliability, and planning a bivariate statistical investigation.

Formula sheet