Regression and Correlation

Analyzing relationships between variables

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Topics Covered

• Scatter Plots and Correlation — Create scatterplots and calculate the correlation coefficient r to describe linear relationships.
• Least-Squares Regression — Find and interpret the least-squares regression line (LSRL) and make predictions.
• Residuals and Residual Plots — Analyze residual plots to assess the fit of a regression model.
• Coefficient of Determination — Interpret r² as the proportion of variability explained by the regression model.
• Transformations for Linearity — Use power, logarithmic, and exponential transformations to achieve linearity.
• Inference for Regression — Perform inference for the slope of a regression line using t-tests and confidence intervals.

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