Chapter 11: Bivariate data analysis Notes

Bivariate data, scatterplots, Pearson's correlation coefficient, correlation and causation, the least-squares regression line, and making predictions with interpolation and extrapolation.

Sections

  1. 11A Scatterplots and correlation Mastered

    Bivariate data, explanatory and response variables, scatterplots, describing form, direction and strength, Pearson's correlation coefficient r, outliers, and why correlation does not imply causation.

  2. 11B The least-squares regression line Mastered

    Lines of best fit, residuals, the least-squares regression line and its formulas in terms of r and the standard deviations, the line passing through the mean point, and interpreting the gradient and intercept in context.

  3. 11C Making predictions Mastered

    Using the least-squares regression line to make predictions, interpolation and extrapolation, the reliability of predictions, residuals of predictions, and the limits of a regression model.

Formula sheet