Fundamentals of Statistics contains material of various lectures and courses of H. Lohninger on statistics, data analysis and chemometrics......click here for more. 
Home Bivariate Data Regression Curvilinear Regression  
See also: regression, linear/nonlinear, derivation of regression formulas  
Curvilinear RegressionSimple linear regression has been developed to fit straight lines to data points. However, sometimes the relationship between two variables may be represented by a curve instead of a straight line. Such "nonlinear" relationships need not be nonlinear in a mathematical sense. For example, a parabolic relationship may be wellmodeled by a (modified) linear regression, since a parabola is a linear equation, as far as its parameters are concerned. Sometimes, such relationships are called "curvilinear".
There are several ways to fit a curve other than a line (or, generally
speaking, an ndimensional hyperplane) to the data:


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