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Regression Analysis

  1. Sanford Weisberg

Published Online: 14 DEC 2007

DOI: 10.1002/9780470050118.ecse349

Wiley Encyclopedia of Computer Science and Engineering

Wiley Encyclopedia of Computer Science and Engineering

How to Cite

Weisberg, S. 2007. Regression Analysis. Wiley Encyclopedia of Computer Science and Engineering. .

Author Information

  1. University of Minnesota, School of Statistics, Minneapolis, Minnesota

Publication History

  1. Published Online: 14 DEC 2007

Abstract

In statistics, regression is the study of the changes in the distribution of a response as the values of predictors of it are varied. Regression models are used in virtually all areas of science and represent fundamental tools in understanding data.

Simple and multiple linear regression methodology are the basic tools of regression analysis. These methods can be used with only minimal assumptions and are described in this article. Linear regression is not always appropriate, for example, if the response is a category or a count. For these cases, specialized methods have been developed. More recent developments in regression include nonparametric, semiparametric approaches, among others.

Keywords:

  • least squares;
  • statistics;
  • model selection;
  • generalized linear models;
  • nonlinear regression;
  • nonparametric regreasion;
  • additive models;
  • dimension reduction regression