Re: Curve Fitting to Exponential Data
- From: Scott Seidman <namdiesttocs@xxxxxxxxxxxxxx>
- Date: 21 Nov 2006 14:03:16 GMT
mcdonnellb@xxxxxxxxx wrote in news:1164116294.546782.136070
@j44g2000cwa.googlegroups.com:
Given the general formula for a exponential:
y = ae^(bx)
There's your main problem!! This is NOT the right model for the data set
as you've described it. You say there is a non-zero "horizontal"
asymptote, and you haven't placed it in your model
Try y=A*e^(Bx)+ C
Even better, you might want to MEASURE your asymptotic value, subtract it a
priori from your data, and then estimate your original model. This follows
a "never estimate what you can simply measure" rule of thumb.
Off the cuff, this looks a little double exponentially to me, or
y=Ae^(Bx) + Ce^(Dx) + F
I can't see the page with the method you link to for some reason, but you
might want to be a tad careful because the distribution of the residuals
depends so highly on X, and this could impact any inferential statistics
and confidence intervals you might get out of your fit.
--
Scott
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