Simple Regression

Chapter Objectives

• Introduce the basics of regression

• Define covariance and correlation

• Introduce the method of least squares and the simple linear model

• Present hypothesis tests for claims about the simple linear model

• Discuss methods of nonlinear regression

• Introduce basic concepts of multiple regression

6.1   Introduction

Often in life, we look for relationships. For instance, we might ask the following questions:

• Is weight related to heart disease?

• Is time spent studying for a standardized exam related to scores?

• Is the number of home runs hit in a ball park related to the altitude of the park?

Note that all these quantities (weight, time, scores, and so on) are random variables. In more general ...

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