I want to perform a regression using neural networks. My input has 5 parameters [a, b, c, d, e] and the output is 4 variables [x, y, z, w]. Total number of observations I have is 1000.

I wanted to know if there is a way to know which of the input parameters causes the most variation in my output variables. I thought of doing a PCA analysis where I create a matrix of one input parameter with the output variables (e.g. [a, x, y, z, w], [b, x, y, z, w] and so on) to see if the input parameter can express any variability in the output variables. I didn't quite get any such information.

So my question is:

  1. Is my approach correct?
  2. If not, is there any way I can do such a study?



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