Chapter 13: Descriptive and Inferential Methods in Simple Linear Regression
Overview
This chapter introduces simple linear regression, which models the relationship between two quantitative variables using a straight line; we discuss descriptive and inferential methods in simple linear regression.
Learning Objectives
As a result of completing this chapter, you will be able to do the following:
- Identify situations where simple linear regression should be used.
- Explain the main idea of the method of least squares.
- Calculate the least-squares fitted line.
- Calculate and interpret the correlation coefficient r.
- Calculate and interpret the coefficient of determination r2.
- Explain the terms in a simple linear regression model.
- Conduct a [latex]t[/latex] test and obtain a [latex]t[/latex] confidence interval for the slope parameter [latex]\beta_1[/latex].
- Explain the difference between confidence intervals and prediction intervals.
- Obtain a confidence interval for the conditional mean and a prediction interval for a single response.
