Exponential Linear Regression fitting model?

Hi everyone,

I'd like to have an help to resolve the following problem,

I have this relationship Y=b*exp(-a/x), I know the values of Y and x, but I need to find the values of a and b. Can I use the linear regression model (polyfit/polyval)? In case it is possible, how can I use it?

Thank you,

Matteo

Answer 1

[Torsten]

Take LOG on both sides:

LOG(Y)=LOG(b)-a/x.

Then fit LOG(Y) against 1/x using polyfit for a polynomial of degree 1.

Alternatively, use lsqcurvefit to fit the data to the original model (the results for a and b for both approaches will differ).

Best wishes

Torsten.