Practical Data Analysis with JMP, Second Edition, 2nd Edition

15 Simple Linear Regression Inference

Overview

Fitting a Line to Bivariate Continuous Data

The Simple Regression Model

Thinking About Linearity

Random Error

What Are We Assuming?

Interpreting Regression Results

Summary of Fit

Lack of Fit

Analysis of Variance

Parameter Estimates and t-tests

Testing for a Slope Other Than Zero

Application

Overview

In Chapter 4, we learned to summarize two continuous variables at a time using scatterplot, correlations, and line fitting. In this chapter, we’ll return to that subject, this time with the object of generalizing from the patterns in sample data in order to draw conclusions about an entire population. The main statistical tool that we’ll use is known as linear regression analysis. We’ll devote this chapter ...