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Understanding Regression Analysis

Understanding Regression Analysis
An Introductory Guide

Second Edition

November 2016 | 120 pages | SAGE Publications, Inc
Understanding Regression Analysis: An Introductory Guide presents the fundamentals of regression analysis, from its meaning to uses, in a concise, easy-to-read, and non-technical style. It illustrates how regression coefficients are estimated, interpreted, and used in a variety of settings within the social sciences, business, law, and public policy. Packed with applied examples and using few equations, the book walks readers through elementary material using a verbal, intuitive interpretation of regression coefficients, associated statistics, and hypothesis tests. The Second Edition features updated examples and new references to modern software output.

Series Editor’s Introduction
About the Authors
1. Linear Regression

Hypothesized Relationships

A Numerical Example

Estimating a Linear Relationship

Least Squares Regression


The Linear Correlation Coefficient

The Coefficient of Determination

Regression and Correlation


2. Multiple Linear Regression

Estimating Regression Coefficients

Standardized Coefficients

Associated Statistics



3. Hypothesis Testing

Concepts Underlying Hypothesis Testing

The Standard Error of the Regression Coefficient

The Student’s t Distribution

Left-Tail Tests

Two-Tail Tests

Confidence Intervals

F Statistic

What Tests of Significance Can and Cannot Do


4. Extensions to the Multiple Regression Model

Types of Data

Dummy Variables

Interaction Variables





5. Problems and Issues Associated With Regression

Specification of the Model

Variables Used in Regression Equations and Measurement of Variables

Violations of Assumptions Regarding Residual Errors

Additional Topics


Appendix A: Derivation of a and b
Appendix B: Critical Values for Student’s t Distribution
Appendix C: Regression Output From SAS, Stata, SPSS, R, and EXCEL
Appendix D: Suggested Textbooks

“This is an excellent update; a clear and accessible introduction to a complex, yet very important, statistical method: regression analysis. The book can serve as a perfect supplement or stand-alone book in introductory social statistics courses.”

Grigoris Argeros
Eastern Michigan University

Understanding Regression Analysis provides students at all levels a foundational understanding of multiple linear regression analysis through intuitive explanations and interdisciplinary examples aimed at elucidating concepts, approaches, and interpretations.”

Andrea Hetling
Rutgers University – New Brunswick

“This monograph provides a clear and concise introduction to regression analysis concepts and procedures, with a problem-solving approach toward addressing common maladies of regression modeling.”

Ross E. Burkhart
Boise State University

“The authors do a top-notch job of competently presenting a plethora of topics regarding regression analysis.”

Wyatt Brown
University of South Florida
Key features

  • A revised explanation of hypothesis testing in Chapter 3 is more in line with current approaches.
  • New examples have been taken from current books and articles.
  • Recent changes in the approaches to and applications of regression analysis are reflected in the book’s two final chapters.
  • Expanded coverage of prominent techniques, such as experiments and instrumental variables, enhance student understanding.
  • New chapter introductions and summaries help students master key concepts. 

  • No background in statistics and only limited background in mathematics is needed to understand the material.
  • An intuitive, non-technical explanation of linear regression analysis makes the book ideal for anyone who needs to understand the principles of regression analysis.
  • Discussions of problems that can arise in conducting regression analysis are included.

Sample Materials & Chapters

Chapter 1

Sage College Publishing

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