Regression versus Correlation

  • Ludomir M. Laudański
Part of the Intelligent Systems Reference Library book series (ISRL, volume 31)


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].


Regression Line Turbulence Intensity Atmospheric Turbulence Class Frequency Auxiliary Line 
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© Springer-Verlag GmbH Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Rzeszow Technical UniversityRzeszowPoland

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