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Chapter 12Multiple Regression: Concepts and Calculation

Chapter 11 considered simple linear regression, its calculation, and its interpretation. This chapter extends the simple linear regression model to include more than one predictor variable. This is what is known as multiple regression. This chapter will consider the nature of multiple regression and the calculation of the basic multiple regression results.

Appendix A, “Multiple Regression and Matrices,” discussing the multiple regression and matrix algebra, can be found at the end of the book.

12.1 Introduction

Health care professionals are often faced with the need to describe and analyze relationships between outcomes and predictors. They seek to identify and explain trends, test hypotheses, and/or develop forecasting models. Linear regression models are able to incorporate complex mathematical functions to describe the associations between sets of variables. Given the availability of data in health care administration databases, the application of linear regression can result in improved health care decision making.

In introducing the multiple regression model, we will contrast it to simple linear regression. In this contrast, the Microsoft Excel regression add-in, considered in Chapter 11, will be extended to multiple regression. ...

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