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Table of Contents Introductory Stuff Linear vs. Nonlinear Models | |
See also: regression, Multiple Linear Regression - Introduction |
Most people have difficulties in determining whether a model is linear or non-linear. Before discussing the issues of linear vs. non-linear systems, let's have a short look at some examples, displaying several types of discrimination lines between two classes:
Another example of a linear model is shown in the figure below. It displays a parabolic regression line, which of course has a curvature, but is a linear model:
It's not the independent variable, x, which counts for linearity, but
the parameters of the model (in our parabolic example a, b, and c). From
this simple insight it follows that multiple
linear regression can be used to estimate the parameters of "curved"
models.
Last Update: 2005-Jul-16