Hi All,
I am fitting data to an exponential decay curve (f(x) =ae^(-bx) + c), and while the fit I wrote works quite well, I now need to calculate uncertainties on a, b, and c (in particular b; that is the one I care about). I am also attempting to do this without the curve fitting toolbox (old laptop, can't export data off of it due to rules outside my control).
My thought right now is to take the log, as such:
log(f(x)) = log(ae^(-bx) + c),
or, really,
log(f(x)) = log(ae^(-bx)) = log(a) - bx, since I don't care about c. Then treat it as a line. Then, calculate the uncertainty in b from this. But plotting the best fit on a semilog plot does not produce a straight line. Is this an issue?