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
-
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.
-
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.
-
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.
-
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.
-
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.
Coaching Centre