SOLUTION: What is the logic behind using the sum of the products of deviation scores as the numerator of the formula for the correlation coefficient? Is this logic sound? Why or why not?

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Question 368902: What is the logic behind using the sum of the products of deviation scores as the numerator of the formula for the correlation coefficient? Is this logic sound? Why or why not?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Just a professional opinion: The logic is the inverse relationship between the sum of the products of deviation scores and correlation of the quantities. The lower the sum of the products of deviation, the greater the correlation between (or among)the variables. This logic is sound, but that is not actually the main issue. The main issue is: Is there another measure of correlation involving the deviation scores that could be a better measure of correlation? Think about it.