NonlinearModelFit
NonlinearModelFit[data, form, params, x] fits data to a nonlinear model with statistical analysis.
Examples
Fit to exponential model:
data = Table[{x, 5 Exp[-x/3] + RandomReal[0.2]}, {x, 0, 10, 0.5}]
nlm = NonlinearModelFit[data, a Exp[-x/b], {a, b}, x]
(* Best fit function *)
nlm["BestFit"]
(* Parameter table with statistics *)
nlm["ParameterTable"]
(* Plot fit with data *)
Show[ListPlot[data], Plot[nlm[x], {x, 0, 10}, PlotStyle -> Red]]Please visit the official Wolfram Language Reference for more details.