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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 Rsquared 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 Rsquared 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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