I have some non-linear data that I am trying to fit to an equation and have very little experience with this. I have found this formula, which best fits my data:
y0 + a/(x-x0)
x being my data, y0, a, and x0 are the parameter estimates. I found this formula on https://plot.ly/create/ after creating a line chart with my x,y data and going to the Analysis > Curve Fitting option. It doesn't give a name for this equation.
Now I would like to begin to work backwards (ie calculate y0, a, and x0), but need to identify this equation to find more reading material for it.
This is hyperbola curve.
You can get such curve having the simplest y=1/x curve, then shifting it right by x0 (vertical asymptote), stretching in vertical direction a times and shifting in vertical direction by y0 (horizontal asymptote)