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Nonlinear Regression Example 1 (DePaul)

Notes and Considerations

Let the form of the residuals guide the choice of terms in the model equation.

See attached file "Nonlinear Regression Example DePaul.docx".

In the first part of the example, the model is eventually fit using a polynomial model along with a sinusoidal term.  This is still an example of linear regression in the sense that it is linear in the betas.  What makes it a possible candidate for a nonlinear regression model is that the polynomial terms represent what was originally an exponential term in the original formula which created the data set.  An exponential term may be represented by a polynomial Taylor Series.

Data Set

See attached .csv file.

Analysis or Script File

See attached Statistica (.stw) file.

Or for implementation using R, see the attached file "nonlinearregAMEZZ.R".

Clifford Long,
Aug 27, 2017, 5:26 PM
Clifford Long,
Aug 27, 2017, 5:25 PM