Now how exactly did Pearson derive his correlation coefficient?
Is it simply a definition which reflects the linear relationship between two variables?
That's what it's supposed to do; i'm just wondering how did Pearson derived or came up with the formula for it, which I have in the attached GIF image file, (correlation.gif)
Where x=discrete independent variable, y=discrete dependent variable,
and Sx=standard deviation of x-set, and Sy=standard deviation of y-set
Separate names with a comma.