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Average of power curve functions 
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#1
Dec913, 12:29 AM

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I have a program that generates a bunch of power curve functions and would like to know what the 'average' function between all of them would be.
Here is my data set so far: 4.638013x^0.076682586 4.834884x^0.034875062 4.0432342x^0.13476002 3.8535004x^0.12178477 How do I do this, and what is the average function for this particular set? Thank you for your time. 


#2
Dec913, 04:12 AM

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It depends on what you mean by 'average'.



#3
Dec913, 04:51 PM

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I think the mean would be ideal.
I'm looking at it from a graph standpoint, where I want to find one curve that best represents them all. 


#4
Dec913, 05:23 PM

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Average of power curve functions
I would lean toward taking the average of the four coefficients (the numbers in front of the power functions), and the average of the four exponents. That would certainly give you a function whose graph would be somewhere in the middle of the other four.



#5
Dec913, 07:12 PM

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Is it really that simple? I guess I had delusions of complexity.
Anyways thanks for your help. 


#6
Dec1113, 12:05 PM

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#7
Dec1113, 06:25 PM

P: 14

There's a definite limit on the precision as long as only a simple power curve is available. It's more precisely described as a higher order polynomial. At a later date I may get into its exact description in these terms but for now a simple power curve takes priority. 


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