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Regression Analysis with R by Giuseppe Ciaburro

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Nonlinear least squares

In Chapter 3More Than Just One Predictor – MLR, we have already handled a case in which a linear regression was unable to model the relationship between the response and predictors. In that case, we solved the problem by applying polynomial regression. When the relationships between variables are not linear, three solutions are possible:

  • Linearize the relationship by transforming the data
  • Fit polynomial or complex spline models
  • Fit a nonlinear model

The first two solutions you have already faced in somemanner in the previous chapters. Now we will focus on the third solution. If the parameters of the regression function to be estimated are nonlinear, that is, they appear at a different degree from the first, the ...

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