I have 5 variables (3 independent and 2 dependent) and I want to check if each one of the independent is correlated with each one of the dependents.

Once not all the variables showed normality behaviour (i confirmed this using shapiro test;Q-Q plot and histogram analysis) I did Spearmans instead of Person's.

Lets call to the independent variables A;B and C

and to de dependent D;E (My E variable is defined as D/A).

I did not find correlation between A-D; B-D nor C-D. However I found a correlation statistically significant between B-E and C-E...

The question is, am I committing any kind of violation with the D/A division to "generate" E? Or can I trust that the result of the test is trustworthy?

(PS: A;B and C are independent!)

Thank you so much!