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  • Log-Log Regression & Interpretation

    Dear all,

    I have question on how to interpret the results from a log log model.

    My understanding is that the coefficient of the log transformed variable is the estimated percent change in the dependent variable for a percent change in the independent variable, i.e., the coefficient represents the elasticity of the dependent variable with respect to the independent variable.

    If now I have a regression that the log transformed independent variable is also interacted with another continuous variable, can I estimate the overall elasticity using:
    Code:
    sysuse auto, clear
    gen lnprice = ln(price)
    gen lnweight = ln(weight)
    reg lnprice c.lnweight##c.length i.rep78 i.foreign
    margins , dydx(lnweight)
    Moreover, if I want to calculate the elasticity at different values of length can I use the following?
    Code:
    margins , dydx(lnweight) at(length=(150(10)230))
    Thank you very much for your time!
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