Problem:

Variable  Factor  Value   Desired Value
========  ======  ======  =============
A         W1      V1      5 
B         W2      V2      31
C         W3      V3      42
D         W4      V4      9
E         W5      V5      16

The relationship between Factor and Value is:
        W1 = V1 x M
        W2 = V2 x M
        W3 = V3 x M
        W4 = V4 x M
        W5 = V5 x M

        Where M = f(W1...W5)      // M is a function of factors W1 to
W5


Q. Calculate factors W1 to W5 that yield Values as close to those
indicated in 'Desired Value'.
=================================================

Right now, I do this manually using trial and error method i.e.,
assuming different Factors for each variable and caluclating the
values. But, I want to automate this process to get the best match.

To me, it looks like a regression problem, but I dont know how to
apply it and then there is a circular reference. I am not a math or
stat major!

Please guide as to how I should solve this problem? Any assistance
would be highly appreciated.


Thanks,
Kaushik


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