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LinearOffsetFunction

is an option for linear and generalized linear model fitting functions that specifies a component for the model that is to be assumed known.

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LinearOffsetFunction

LinearOffsetFunction

is an option for linear and generalized linear model fitting functions that specifies a component for the model that is to be assumed known.

Details

Examples

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Basic Examples  (1)

Fit data to a linear model:

Wolfram Language code: data = {{0, 1}, {1, 1.5}, {3, 2}, {5, 4}};
Wolfram Language code: LinearModelFit[data, x, x]//Normal

Fit data to a linear model with a known Exp[x] term:

Wolfram Language code: LinearModelFit[data, x, x, LinearOffsetFunction -> (Exp[#]&)]//Normal

Scope  (3)

Fit data to a generalized linear model:

Wolfram Language code: data = {{0, 1}, {1, 1.5}, {3, 2}, {5, 4}};
Wolfram Language code: GeneralizedLinearModelFit[data, x, x, ExponentialFamily -> "Gamma"]//Normal

Fit to a model with a known Sqrt[x] term in the linear predictor:

Wolfram Language code: GeneralizedLinearModelFit[data, x, x, ExponentialFamily -> "Gamma", LinearOffsetFunction -> (Sqrt[#]&)]//Normal

Fit to a model with a known constant term:

Wolfram Language code: GeneralizedLinearModelFit[data, x, x, ExponentialFamily -> "Gamma", IncludeConstantBasis -> False, LinearOffsetFunction -> (2&)]//Normal

Include a linear offset in a logit model:

Wolfram Language code: LogitModelFit[{.1, .3, .5, .6, .8}, x, x, LinearOffsetFunction -> (Sin[#]&)]//Normal

A probit model:

Wolfram Language code: ProbitModelFit[{.1, .3, .5, .6, .8}, x, x, LinearOffsetFunction -> (Sin[#]&)]//Normal

Include an offset as a function of multiple variables:

Wolfram Language code: GeneralizedLinearModelFit[{{4.3, 2, 1.2}, {3.8, 3.3, .6}, {4.5, 3, .7}, {3, 4.2, .5}, {2, 2.1, 1.4}}, {x, y}, {x, y}, ExponentialFamily -> "InverseGaussian", LinearOffsetFunction -> (#1 #2&)]//Normal

The model fitting a coefficient to the x y term:

Wolfram Language code: GeneralizedLinearModelFit[{{4.3, 2, 1.2}, {3.8, 3.3, .6}, {4.5, 3, .7}, {3, 4.2, .5}, {2, 2.1, 1.4}}, {x, y, x y}, {x, y}, ExponentialFamily -> "InverseGaussian"]//Normal
Wolfram Research (2008), LinearOffsetFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/LinearOffsetFunction.html.

Text

Wolfram Research (2008), LinearOffsetFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/LinearOffsetFunction.html.

CMS

Wolfram Language. 2008. "LinearOffsetFunction." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/LinearOffsetFunction.html.

APA

Wolfram Language. (2008). LinearOffsetFunction. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/LinearOffsetFunction.html

BibTeX

@misc{reference.wolfram_2026_linearoffsetfunction, author="Wolfram Research", title="{LinearOffsetFunction}", year="2008", howpublished="\url{https://reference.wolfram.com/language/ref/LinearOffsetFunction.html}", note=[Accessed: 12-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_linearoffsetfunction, organization={Wolfram Research}, title={LinearOffsetFunction}, year={2008}, url={https://reference.wolfram.com/language/ref/LinearOffsetFunction.html}, note=[Accessed: 12-June-2026]}