A First Course in Statistics, 12th Edition

9 Simple Linear Regression

Contents

1. 9.1 Probabilistic Models

2. 9.2 Fitting the Model: The Least Squares Approach

3. 9.3 Model Assumptions

4. 9.4 Assessing the Utility of the Model: Making Inferences about the Slope ${\beta }_1$

5. 9.5 The Coefficients of Correlation and Determination

6. 9.6 Using the Model for Estimation and Prediction

7. 9.7 A Complete Example

8. 9.8 A Nonparametric Test for Correlation (Optional)

Where We’ve Been

• Presented methods for estimating and testing population parameters (e.g., the mean, proportion, and variance) for a single sample

• Extended these methods to allow for a comparison of population parameters for multiple samples