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Fitting a non-linear model to my data

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Jan Hegi
Jan Hegi on 1 Dec 2019
Answered: Jeff Miller on 1 Dec 2019
Hello,
I need to fit a function to my data. I tried it with multiple regression, but it didn't work.
Since the result needs to be 0, if one of the variables is 0, my idea is to do a multiplication of them and find the ideal exponents.
So it would look like this: y = x1^a * x2^b * x3^c * x4^d
Is there any way to find the ideal a, b, c and d if i have the xi and y?
Thanks in advance

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Accepted Answer

Jeff Miller
Jeff Miller on 1 Dec 2019
Take logs and use multiple regression. That is, fit the model
log(y) = a log(x1) + b log(x2) etc
This will give you the best a, b, c, and d values for a least-squares fit in this log representation

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