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Topic: How to determine these coefficients using regression
Replies: 2   Last Post: Jun 18, 2012 11:47 PM

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 francois_grondin2003@hotmail.com Posts: 18 Registered: 3/8/07
How to determine these coefficients using regression
Posted: Jun 18, 2012 4:14 PM

Hi everyone

A colleague asked me how to fit the following curve using regression:

I = A / ((B + t)^C)

where I is an intensity, t is time, and A, B ad C are the coefficients to be found using regression.

My question: is there a transformation that can linearize this equation? If not, how can I evaluate A, B and C knowing values of I and t?

I tried to linearize this equation without success. The closest forms I've found so far are:

log I = log A - C * log(B + t)

I^C = B * A^(-C) + A^(-C) * t = b0 + b1 * t

None of these allows me to apply linear regression. Any hints?

Regards.

Francois

Date Subject Author
6/18/12 francois_grondin2003@hotmail.com
6/18/12 RGVickson@shaw.ca
6/18/12 Tim Little