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In many data analyses in physics, the most familiar measure of dependence might be the linear correlation coefficient ρ.
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The inset is the linear correlation between the slope coefficient and the concentration of ethanol.
where ρ is the linear correlation (LC) between z and u.
r, the multiple correlation coefficient, is the linear correlation between the observed and model-predicted values of the dependent variable.
Therefore, the closer the criterion used by specialists is to that used for similarity calculation by similarity functions f, the greater is the linear correlation between these measures and the better results become.
We calculated ku(H2O), which is the rate constant for unfolding in the absence of GdnHCl, from the GdnHCl concentration dependence of the logarithms of the apparent unfolding rate constant (kapp), which is the linear correlation of ln kapp with GdnHCl concentration.
a. Pearson's r is the linear correlation of the data to the quartiles, based on the maximum likelihood inferred parameters for each family of distributions.
The validation statistics were: the linear correlation coefficient; mean error (ME); and mean absolute error (MAE) is a measure of the bias of predictions (the overall tendency to over or under predict).
Further, a linear relationship between the resonance locations and the Ag mole fraction could be observed (the linear correlation coefficient was 0.99; Fig. 1d), indicating the successful formation of composites.
From the analysis of the correlation chart in which are listed the linear correlation coefficients, it was noted that the relationship between fundamental measure and age, weight, asymmetry, and activation was weak.
Finally, 432 correlation curves were obtained and all of them were above the linear correlation curve.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com