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We get a correlation coefficient of 0.86: still falling in the range of very strong positive correlation, though the absolute value of the correlation coefficient is lower than the correlation coefficient values obtained with the Pearson's and Spearman's measures.
By comparing the observed and best-fit model intensities (Fig. 7) we get a correlation co-efficient of 0.75 showing that the model is not as good a fit to the observed intensities as that obtained for the Northern region.
Therefore, even with perfect predictive power, we would not get a correlation coefficient of one.
§ Omission of any two of these there points additional to the other four reported points is enough to get a correlation above the cut-off value, resulting in the same slope.
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The P value is defined as the probability of getting a correlation as large as the observed value by random chance, when the null hypothesis is true.
In this study, the CHFs were investigated in the confined flow of two-dimensional jet on flat and concave surfaces in the various flow conditions and got a correlation for the CHF.
The reported p-value is the probability of getting a correlation as large as the observed value by random chance, when the true correlation is zero.
If we excluded Marseille and Strasbourg from the comparison, we got a correlation of r = 0.73 for initial screens.
If we for subsequent screens excluded Turin, Florence, Marseille and Strasbourg we got a correlation of r = 0.73.
The p-values associated with the correlation coefficients (namely the probabilities of getting a correlation coefficient that is greater than or equal to that value for random i. i. d. gaussian data) in table 1 are as follows: r = 0.48 => p = 13.8%, r = 0.71 => p = 3.7%, r = 0.86 => p = 0.65%.
Once we get a new correlation result, comparison between the stored largest correlation result and the new result is executed.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com