Regression versus Correlation

Chapter
Part of the Intelligent Systems Reference Library book series (ISRL, volume 31)

Abstract

Idea of the linear regression. Auxiliary material - straight lines in Cartesian geometry. The concept of distance – geometrical distance and equivalent distances in two orthogonal directions – as a prerequisite to the concept of two regression lines. Frequent errors in interpreting two regression lines. The least square concept - Adrien Marie Legendre, Francis Galton, Karl Pearson [2]. Formal derivation of the two regression lines. Correlation coefficient as a geometrical mean of the two directional coefficients of regression lines. Which in fact measures the correlation coefficient? Udny Yule [1] and his warnings regarding abuse of correlation analysis. Further reading [3-4], [6-9].

Keywords

Regression Line Turbulence Intensity Atmospheric Turbulence Class Frequency Auxiliary Line 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Yule, G.U.: An Introduction to the Theory of Statistics. Charles Griffin and Co., London (1911); 2-nd Edition translated into Polish by Z. Limanowski: Wstęp do Teorji Statystyki, Gebethner i Wolff, Warszawa 1921; pp. 1–446. VI-th Edition of 1922 accessible by Internet, pp. 1–415. 14-th edition, co-author M.G. Kendall, 1950 translated into Polish as Wstęp do Teorii Statystyki. PWN, Warszawa (1966)Google Scholar
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    Pearson, K., assisted by Lee, A.: On the Laws of Inheritance in Man. Biometrica 2(4), 357–462 (1903) Google Scholar

Copyright information

© Springer-Verlag GmbH Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Rzeszow Technical UniversityRzeszowPoland

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