Simple non linear fitting question(Least Squares Fitting--Exponential)

Question

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easy to implement method to fit a power function (regression)

I have the following simple function: $h = cV^n$

h and V being the variables and $c$ and $n$ are parameters that I want to optimize. I have a series of values for $h$ and $V$. What are the options for guessing the parameters ? I know if the funtion is linear I can use linear least square for a maximum likelihood guess. But in my case it's non linear.

Thanks in advance.

Answer 1

There is also least squares fitting for exponential functions. For the formulas you need to use, see mathworld ($y$ is your $h$ and $e^x$ is your $V$). If you don't like to evaluate the formulas from hand you can use software packages like Mathematica which come with ready algorithms for those problems.