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There are several nonlinear curves that that can be transformed into linear curves. Remember that linear curve has straight line relationship. Using nonlinear transformation, you can easily solve nonlinear problem as a linear (straightline) problem. In this section, you will learn most commonly used nonlinear regression and how to transform them into linear regression.
The following charts show some of the ideas of nonlinear transformation.
The following table summarizes the nonlinear transformation. The transformation works mostly by taking logarithm. You may want to review
power rules
and
logarithm rules here
.

Model 
Model Transformation 
Parameters Transformation 

Power 




Exponential1 




Exponential2 




Logarithmic 




Reciprocal1 




Reciprocal2 




Reciprocal3 




Square Root 




Example:
We have the following data
The scattered and trend curve of the data is shown below. It is clearly nonlinear.
Although we can use MS Excel trend to find the curve directly, for demonstration purposes, we will compute it manually. We will try to compute manually the power curve, logarithmic curve and square root curve.
Click the following links to go directly to the detail and example of each nonlinear model:
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See Also : Regression tutorial , Power Rules , Logarithm Rules , Kernel Regression
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