![]() The table on the right side of Figure 1 shows y transformed into ln y and x transformed into ln x. It follows that any such model can be expressed as a power regression model of form y = αx βby setting α = e δ.Įxample 1: Determine whether the data on the left side of Figure 1 is a good fit for a power model.įigure 1 – Data for Example 1 and log-log transformation ![]() This equation has the form of a linear regression model (where I have added an error term ε):Ī model of the form ln y = β ln x + δ is referred to as a log-log regression model. Taking the natural log (see Exponentials and Logs) of both sides of the equation, we have the following equivalent equation: Another non-linear regression model is the power regression model, which is based on the following equation: ![]()
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