By Kardi Teknomo, PhD .

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Assuming that our model is power curve Power Curve , we can take logarithm to both sides of the equation.

Power Curve

To compute manually, we take logarithm to both Power Curve and Power Curve . Thus, we have model transformation Power Curve and Power Curve .

Example

Data: Power Curve

Power Curve

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 Power Curve 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 Power Curve and Power Curve . In this case, we have Power Curve or Power Curve . Thus, the regression line is Power Curve with the same R-squared of 0.9999

Power Curve

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See Also : Regression tutorial , Power Rules , Logarithm Rules , Kernel Regression

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