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My regression analysis program that I developed in BASICS back in the 1980's applies for half a dozen linear equations some of which are transormed into log forms. I would like to modify my program to include this Gamma function: I(t)=P*(t^s)*(e^(-ft)) which I can transform into this equivalent non- linear log form: Ln I(t)=Ln P + s*Ln t + (-ft); P,s and f are constants; t if for time; I(t) has for units cu.ft/sec or cu.m./sec. Is there any way to take care of the term (-ft). I got 18 data points available for this regression .

I am not looking forward to trial and error to determine the constants P,s and f.

Here is another thought. Since I have 18 data points (flow vs time), can I solve theses constants with matrices using this transformation: Ln I(t)=Ln P + s*Ln t + (-ft) eventho I would have 18 rows and and only 4 columns?

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# Regression Analysis for a Gamma function

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