Regression Analysis

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


A regression model is any general linear model Y = + e in which X′X is nonsingular. X′X is nonsingular if and only if the n × p matrix X has rank p. In regression models, the parameter vector β is estimable. Let P′ = (X′ X)-1 X′, then β= P′Xβ.


Orthogonal Polynomial Polynomial Regression Simple Linear Regression Design Matrix Linear Prediction 


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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Ronald Christensen
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of New MexicoAlbuquerqueUSA

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