the most important factor that accounts for the variation of y most

Hi

I have to pick up the most explainable variable in eq. like:

y=x1*x2/(x3*x4)... even general in y=f(x1,x2,x3,x4).

In fact, x1~x4 are all function of some angles and other parameters.
I have the model run for many conditions.
Then, I notice variation of y. I'd like to account for the variation
of y. What is the most important factor that accounts for the
variation of y most. How to do this?

I compute stdev for y, x1~x4, but I have doubt about it.
I don't know how to write an eq. like:
stdev(y) = some forms of stdev(x.....)
Then pick up the largest one?
Or, I try to compute correlation coefficient r between y and xi, then
can I pick up the largest r as the most important factor? Is that
reasonable?

Any suggestion will be pleased

Mike
.

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