Encyclopedia of Database Systems

2018 Edition
| Editors: Ling Liu, M. Tamer Özsu

Linear Regression

  • Jialie Shen
Reference work entry
DOI: https://doi.org/10.1007/978-1-4614-8265-9_542

Definition

Linear regression is a classical statistical tool that models relationship between a dependent variable or regress and Y, explanatory variable or regressor X = { x 1, … , x I} and a random term ε by fitting a linear function,
$$ Y={\alpha}_{+}{\alpha}_1{x}_1+{\alpha}_2{x}_2+\dots +{\alpha}_I{x}_I+\varepsilon $$
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References

  1. 1.
    Draper, N.R., Smith, H. Applied regression analysis Wiley Series in Probability and Statistics; 1998.Google Scholar
  2. 2.
    Gross J. Linear regression. Berlin: Springer; 2003.zbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Singapore Management UniversitySingaporeSingapore

Section editors and affiliations

  • Xiaofang Zhou
    • 1
  1. 1.School of Inf. Tech. & Elec. Eng.Univ. of QueenslandBrisbaneAustralia