What is linear in parameters?

335    Asked by DavidEdmunds in Data Science , Asked on Feb 15, 2023

The model of linear regression is linear in parameters.

What does this actually mean?

Answered by David Edmunds

A model is linear when each term is either a constant or the product of a parameter and a predictor. A linear equation is constructed by adding the results for each term. This constrains the equation to just one basic form: Response=constant+parameter∗predictor+...+parameter∗predictor "Linear in parameters" in Linear Regression, means no parameter appears as an exponent, nor multiplied or divided by another parameter.

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