Built-in Mathematica Symbol

FittedModel

FittedModel[...]
represents the symbolic fitted model obtained from functions like LinearModelFit.

MORE INFORMATION

Properties of a fitted model are obtained from FittedModel[...]["property"].

FittedModel[...][{prop₁, prop₂, ...}] gives several properties.

FittedModel[...][x₁, ...] gives the value of the best-fit function at a particular point x₁, ....

Normal gives the expression for the best-fit function in a FittedModel.

FittedModel objects are returned by fitting functions such as LinearModelFit, NonlinearModelFit and GeneralizedLinearModelFit.

FittedModel[...][prop, ann] gives the annotation ann associated with the property prop.

Possible properties available for a given type of fitted model are listed on the pages for functions such as LinearModelFit that generate the model.

EXAMPLES

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Basic Examples (2)

Obtain a FittedModel from a nonlinear fitting:

Obtain the functional form from the FittedModel object:

Evaluate the model at a point:

Visualize the fitted function with the data:

Extract information about the fitting:

Generate noisy data for the same model:

Plot the data:

Fit a model:

Visually check the fit:

Visually examine the residuals:

Obtain a FittedModel from a nonlinear fitting:

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Obtain the functional form from the FittedModel object:

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Evaluate the model at a point:

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Visualize the fitted function with the data:

In[5]:=

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Extract information about the fitting:

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Generate noisy data for the same model:

Plot the data:

Fit a model:

Visually check the fit:

In[4]:=

Out[4]=

Visually examine the residuals:

In[5]:=

Out[5]=

Scope (4)

Extract the short description for a property:

A longer description:

Obtain multiple properties at once:

Plot the actual and predicted response values:

Obtain a FittedModel object for a linear fit:

For a nonlinear fit:

For a generalized linear fit:

For a logit fit:

For a probit fit:

Obtain a list of available properties for a linear model:

Properties vary for different types of models:

Generalizations & Extensions (1)

Perform other mathematical operations on the functional form of a fitted model:

Integrate symbolically and numerically:

Find an predictor value that gives a particular value for the model: