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Math Help - Achieve Linearity

  1. #1
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    Achieve Linearity

    I have a data set that is not linear. I took the log of the dependent and independet variables which made the data linear. I get an equation of

    ln y(hat)=-6.804+1.466 lnx

    I know to get rid of the Ln on y(hat) side we take e

    y(hat)= e^(-6.804+ ln x^ (1.499))

    My notes tell me that I can say e^(-6.084) * x^(1.499)=y(hat)

    What happened to the ln
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by IDontunderstand View Post
    I have a data set that is not linear. I took the log of the dependent and independet variables which made the data linear. I get an equation of

    ln y(hat)=-6.804+1.466 lnx

    I know to get rid of the Ln on y(hat) side we take e

    y(hat)= e^(-6.804+ ln x^ (1.499))

    My notes tell me that I can say e^(-6.084) * x^(1.499)=y(hat)

    What happened to the ln
    If:

    \ln (\hat{y})=-6.804+1.466 \ln(x)

    Then:

     <br />
\hat{y}= e^{-6.804+1.466 \ln(x) } = e^{-6.804}e^{1.466 \ln(x) } = e^{-6.804}e^{\ln(x^{1.466}) }=e^{-6.804}\; x^{1.466} <br />

    CB
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