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
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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.
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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.
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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.
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