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Non Linear Regression: Power Curve
Assuming that our model is power curve , we can take logarithm to both sides of the equation.
To compute manually, we take logarithm to both and . Thus, we have model transformation and .
Example
Data:
Then we plot log x versus log y and if the data is fit into a power curve, we will obtain a linear model in the double log plot. For our data we find with R-squared of 0.9999. Thus, the data fits into power curve. The parameters of the power curve can be obtained from the linear model using parameter transformation and . In this case, we have or . Thus, the regression line is with the same R-squared of 0.9999
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See Also
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Regression tutorial
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Power Rules
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Logarithm Rules
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Kernel Regression
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