Problem:
Variable Factor Value Desired Value
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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'.
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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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