I have some experimental data which are fitted using different equations.
For example y=a[1-exp(-x+c)/b] +gx
The program uses the Levenberg–Marquardt algorithm and the results are given as
a ± std error
b ± std error
c ± std error
g ± std error
I can plot from the best fitted line but do not know how I could plot the confidence band.
From this fitted equation, I can then interpolate but need to estimate the error of the interpolation on the confidence band.
The confidence band will vary for the same fitted curve on the choice of data point and x values, and position of those x values with respect to the interpolating value. I would like therefore to be able to plot that confidence band with the fitted curve.
I have no idea whatsoever how to proceed from the results, nor that the confidence band is what I need.
I would greatly appreciate any help!
I am joining a file with some data and results.