IncludeConstantBasis

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`IncludeConstantBasis`

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IncludeConstantBasis

is an option for LinearModelFit and other fitting functions that specifies whether a constant term should be included if not explicitly given in the list of basis functions.

Details

The default setting IncludeConstantBasis->True adds a constant basis to the model if one is not specified in the list of basis functions.
Linear and generalized linear models typically compare the fitted model to the mean response model, which contains only a constant basis function.
Setting IncludeConstantBasis->False can be used to fit models without a constant basis function.

Examples

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Basic Examples (1)Summary of the most common use cases

Fit a simple linear regression model:

In[1]:=1

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https://wolfram.com/xid/08uu8s561u1n5cm-vr18x

In[2]:=2

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https://wolfram.com/xid/08uu8s561u1n5cm-ep1pmn

Out[2]=2

Fit the linear model with intercept zero:

In[3]:=3

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https://wolfram.com/xid/08uu8s561u1n5cm-n7l2ev

Out[3]=3

Scope (2)Survey of the scope of standard use cases

Fit a generalized linear model:

In[1]:=1

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https://wolfram.com/xid/08uu8s561u1n5cm-e526uw

In[2]:=2

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https://wolfram.com/xid/08uu8s561u1n5cm-npofm

Out[2]=2

Fit the model without a constant term in the linear predictor:

In[3]:=3

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https://wolfram.com/xid/08uu8s561u1n5cm-li05u4

Out[3]=3

Fit logit models with and without a constant term:

In[1]:=1

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https://wolfram.com/xid/08uu8s561u1n5cm-jn8xe7

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/08uu8s561u1n5cm-iwpl6

Out[2]=2

Probit models:

In[3]:=3

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https://wolfram.com/xid/08uu8s561u1n5cm-nmqtxe

Out[3]=3

In[4]:=4

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https://wolfram.com/xid/08uu8s561u1n5cm-k1f78t

Out[4]=4

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