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Applied Regression and Modeling by Amar Sahay

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CHAPTER 8

Notes on Implementation of Regression Models

Regression Models

Regression is a powerful tool and is widely used in studying the relationships among the variables. A number of regression models were discussed in this book. These models are summarized here:

Simple linear regression

y = β0 + β1x + ɛ

Multiple regression

y = β0 + β1x1 + β2x2 + … + βkxk + ɛ

Polynomial regression (second-order models can be extended to higher order model)

Second-order polynomial:

Higher order polynomial:

Interaction models

An interaction model relating ...

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