
Least Squares Fitting
Hello,
It is often said that the square of the correlation coefficient, $\displaystyle r^2$, is the fraction of the variation in y that is explained by its relationship with x. I seek assistance with determining how this translates to the following:
1$\displaystyle r^2$ = (deviations from trendline)/(standard deviation of y data)
i.e. standard deviation of the data's deviation from the trendline divided by the the standard deviation of the y data is 1$\displaystyle r^2$.
Look forward to your advise.
Best regards,
wirefree

Keenly look forward to a response to my query above.
Best regards,
wirefree