References for Linear Regression

Curated resources to deepen your understanding of least squares regression, residual analysis, and prediction.

---

Wikipedia Articles

1. Simple linear regression - Wikipedia - Comprehensive coverage of fitting a line to data, including the least squares method, slope and intercept formulas, and assumptions of the model.

2. Coefficient of determination - Wikipedia - Explains R-squared, how it measures the proportion of variance explained by the model, and guidelines for interpretation.

3. Residual (numerical analysis) - Wikipedia - Detailed explanation of residuals as prediction errors, their calculation, and their role in evaluating model fit.

Textbooks

1. The Practice of Statistics by Starnes, Tabor, Yates, and Moore - W.H. Freeman (2018) - Complete AP-aligned coverage of regression including interpretation templates, residual plots, and identifying influential points.

2. Statistics: Informed Decisions Using Data by Michael Sullivan III - Pearson (2017) - Clear explanations of regression concepts with extensive examples showing slope and intercept interpretation in real contexts.

Online Resources

1. Linear Regression - Khan Academy - Step-by-step video lessons covering the regression equation, making predictions, residual analysis, and R-squared interpretation.

2. Regression by Eye - Rossman/Chance Applet Collection - Interactive tool where students can fit lines to data by eye and compare their results to the least squares line.

3. Understanding Regression Analysis - Statistics by Jim - Accessible guide explaining how to interpret regression output, with emphasis on slope, intercept, and R-squared in plain language.

4. STAT 200: Regression Diagnostics - Penn State Online - Detailed lessons on residual plots, identifying patterns that indicate model problems, and detecting influential observations.

5. AP Statistics Regression Review - College Board - Official sample questions and scoring guidelines showing how regression concepts are tested on the AP exam.