I've generated these plots:

enter image description here

The upper two scatter plots show linear regressions of two different combinations of three variables ($W2$, $K$ and $R$), both against $log(z)$, with their r values in the legend. The bottom two plots show the residuals of each of the upper plots. My question is about the relationship between the correlation coefficients and the range of the residuals:

        r-value  |  range of resids
W2/R |  0.629395 | 0.188974
K/W2 | -0.644147 | 0.344847

Why does the ratio K/W2 show a higher correlation coefficient, but the residuals have a lower spread?

I would have expected that a high r means a low spread of residuals. Why is this not the case?


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.