I have three variables, x,y, z. My sample n is about 17,000.
My pearson coeficients & r^2:
for x -> z it is 0.187, 0.034
for y -> z it's 0.311, 0.096
testing for significance, I receive a z-score of 12.3 & p < 0.00
So, I know the difference is significant, but I want to say in (somewhat layman's terms) how strong it is. So, I have looked at coefficient of determination, r^2, to get the ratio: 0.096:0.034, or 2.8.
Is it then correct/accurate to say the correlation between y & z is 2.8 times as strong as the correlation between x & z?