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st: Interpretation of regression outputs when variables are log transformed


From   Marco Buur <[email protected]>
To   [email protected]
Subject   st: Interpretation of regression outputs when variables are log transformed
Date   Wed, 2 Mar 2011 19:01:28 +0100

Dear Stata members,

Me and my colleague are not sure that our interpretations of the
results are correct. Please confirm!

10% increase in Y will increase X for 1.1^0.223=1.021481649 which is
2.1% and 10 % increase in Z will increase X for 1.1^1.05=1.10525457
which is 10.5%.

Is this correct?

-----------------------------------------------------------
              |               Robust
    Log(X)    |      Coef.   Std. Err.      z    P>|z|
-------------+----------------------------------------------
    Log(Y)    |   .223     .033     3.57   0.000
    Log(Z)    |   1.05     .1045    11.14  0.000

Thanks
Marco
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