Linear and Nonlinear Regression
Regression is a method of estimating the relationship between a response (output) variable and one or more predictor (input) variables. You can use linear and nonlinear regression to predict, forecast, and estimate values between observed data points. Curve Fitting Toolbox™ functions allow you to perform regression by fitting a curve or surface to data using the library of linear and nonlinear models, or custom equations.
Use the Curve Fitting app to fit curves
and surfaces to data interactively. For more information, see Interactive Curve Fitting. You can also use the fit function to fit a
curve or surface to a set of data at the command line. For a simple example,
see Polynomial Curve Fitting.
Apps
| Curve Fitting | Fit curves and surfaces to data |
Functions
Topics
Tutorials
Find all library model types for Curve Fitting app
and the fit function, set fit options and optimize
starting points.
Least-squares fitting in Curve Fitting Toolbox, including error distributions, linear, weighted, robust, and nonlinear least squares.
Fit polynomials in Curve Fitting app or with the fit function.
Fit exponential models in Curve Fitting app or with
the fit function.
Fit Fourier series models in Curve Fitting app or
with the fit function.
Fit Gaussian models in Curve Fitting app or with the fit function.
Fit power series models in Curve Fitting app or with
the fit function.
Fit rational polynomial models in Curve Fitting app
or with the fit function.
Fit sum of sines models in Curve Fitting app or with
the fit function.
Fit Weibull distribution models in Curve Fitting app
or with the fit function.
If the toolbox library does not contain a desired parametric equation, you can create your own custom equation.
Tools Workflow
Interactive Curve and Surface Fitting
Fit curves and surfaces to data using Curve Fitting app: select data, choose model types, and save sessions.
Select data to fit curves and surfaces in Curve Fitting app, identify compatible size data and troubleshoot data problems.
Compare Fits in Curve Fitting App
Search for the best fit by creating multiple fits, comparing graphical and numerical results including fitted coefficients and goodness-of-fit statistics, and analyzing your best fit in the workspace.
Surface Fitting to Franke Data
Create and compare surface fits in Curve Fitting app using example data.
Surface Fitting to Biopharmaceutical Data
Curve Fitting Toolbox software provides some example data for an anesthesia drug interaction study.
Custom Nonlinear ENSO Data Analysis
This example fits the ENSO data using several custom nonlinear equations.
Gaussian Fitting with an Exponential Background
This example fits two poorly resolved Gaussian peaks on a decaying exponential background using a general (nonlinear) custom model.
Programmatic Workflow
Workflow for programmatic curve and surface fitting in Curve Fitting Toolbox.
This example shows how to fit polynomials up to sixth degree to some census data using Curve Fitting Toolbox™.
Custom Nonlinear Census Fitting
This example shows how to fit a custom equation to census data, specifying bounds, coefficients, and a problem-dependent parameter.
Surface Fitting With Custom Equations to Biopharmaceutical Data
This example shows how to use Curve Fitting Toolbox™ to fit response surfaces to some anesthesia data to analyze drug interaction effects.
