# Regression Analysis

## Theory, Methods, and Applications

Textbook

Part of the Springer Texts in Statistics book series (STS)

1. Front Matter
Pages i-xv
2. Ashish Sen, Muni Srivastava
Pages 1-27
3. Ashish Sen, Muni Srivastava
Pages 28-59
4. Ashish Sen, Muni Srivastava
Pages 60-82
5. Ashish Sen, Muni Srivastava
Pages 83-99
6. Ashish Sen, Muni Srivastava
Pages 100-110
7. Ashish Sen, Muni Srivastava
Pages 111-131
8. Ashish Sen, Muni Srivastava
Pages 132-153
9. Ashish Sen, Muni Srivastava
Pages 154-179
10. Ashish Sen, Muni Srivastava
Pages 180-217
11. Ashish Sen, Muni Srivastava
Pages 218-232
12. Ashish Sen, Muni Srivastava
Pages 233-252
13. Ashish Sen, Muni Srivastava
Pages 253-264
14. Back Matter
Pages 265-347

### Introduction

Any method of fitting equations to data may be called regression. Such equations are valuable for at least two purposes: making predictions and judging the strength of relationships. Because they provide a way of em­ pirically identifying how a variable is affected by other variables, regression methods have become essential in a wide range of fields, including the social sciences, engineering, medical research and business. Of the various methods of performing regression, least squares is the most widely used. In fact, linear least squares regression is by far the most widely used of any statistical technique. Although nonlinear least squares is covered in an appendix, this book is mainly about linear least squares applied to fit a single equation (as opposed to a system of equations). The writing of this book started in 1982. Since then, various drafts have been used at the University of Toronto for teaching a semester-long course to juniors, seniors and graduate students in a number of fields, including statistics, pharmacology, engineering, economics, forestry and the behav­ ioral sciences. Parts of the book have also been used in a quarter-long course given to Master's and Ph.D. students in public administration, urban plan­ ning and engineering at the University of Illinois at Chicago (UIC). This experience and the comments and criticisms from students helped forge the final version.

### Keywords

Bootstrapping Estimator Measure Normal distribution Random variable Regression analysis best fit

#### Authors and affiliations

1. 1.College of Architecture, Art, and Urban Planning School of Urban Planning and PolicyThe University of IllinoisChicagoUSA
2. 2.Department of StatisticsUniversity of TorontoTorontoCanada

### Bibliographic information

• Book Title Regression Analysis
• Book Subtitle Theory, Methods, and Applications
• Authors Ashish Sen
Muni Srivastava
• Series Title Springer Texts in Statistics
• DOI https://doi.org/10.1007/978-1-4612-4470-7
• Copyright Information Springer-Verlag New York 1990
• Publisher Name Springer, New York, NY
• eBook Packages
• Hardcover ISBN 978-0-387-97211-4
• Softcover ISBN 978-1-4612-8789-6
• eBook ISBN 978-1-4612-4470-7
• Series ISSN 1431-875X
• Edition Number 1
• Number of Pages XVI, 348
• Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
• Topics
• Buy this book on publisher's site

## Reviews

"I found this to be the most complete and up-to-date regression text I have come across...this text has much to offer."
-Journal of the American Statistical
Association
"The material is presented in a lucid and easy-to-understand style...can be ranked as one of the best textbooks on regression in the market."
-mathermatical Reviews
"...a successful mix of theory and practice...It will serve nicely to teach both the logic behind regression and the data-analytic use of regression."
-SIAM Review