Regression and Correlation
Analyzing relationships between variables
What You'll Learn in Regression and Correlation
Analyzing relationships between variables
This section contains 6 topics with 0 practice problems and 0 flashcards. Each topic includes comprehensive written notes, worked examples with detailed solutions, and interactive lessons for hands-on practice.
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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All Topics in Regression and Correlation
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.