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 May 2020

statistics.laerd.com statistics.laerd.com

The magnitude of the Pearson correlation coefficient determines the strength of the correlation. Although there are no hardandfast rules for assigning strength of association to particular values, some general guidelines are provided by Cohen (1988):
Magnitude of pearson correlation coeficient.

 May 2017

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Figure 1.8
Several sets of (x, y) points, with the correlation coefficient of x and y for each set. Note that the correlation reflects the nonlinearity and direction of a linear relationship (top row), but not the slope of that relationship (middle), nor many aspects of nonlinear relationships (bottom). N.B.: the figure in the center has a slope of 0 but in that case the correlation coefficient is undefined because the variance of Y is zero.
