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[[File:Correlation-and-regression-analysis fig1.png|thumb|{{figure number|1}}Linear regression of x-on-y. Note the negative slope corresponding to a negative correlation. The regression line is determined so as to minimize the sum of squared deviations: [equation]]]

[[File:Correlation-and-regression-analysis fig1.png|thumb|{{figure number|1}}Linear regression of x-on-y. Note the negative slope corresponding to a negative correlation. The regression line is determined so as to minimize the sum of squared deviations: <math>\sum_i{e_i^2}</math>]]

Correlation analysis, and its cousin, regression analysis, are well-known statistical approaches used in the study of relationships among multiple physical properties. The investigation of [[permeability]]-[[porosity]] relationships is a typical example of the use of correlation in geology.

Correlation analysis, and its cousin, regression analysis, are well-known statistical approaches used in the study of relationships among multiple physical properties. The investigation of [[permeability]]-[[porosity]] relationships is a typical example of the use of correlation in geology.