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st: Interpreting a log-level specification with a rate


From   "stefan.duke@gmail.com" <stefan.duke@gmail.com>
To   statalist@hsphsun2.harvard.edu
Subject   st: Interpreting a log-level specification with a rate
Date   Sat, 8 Mar 2008 16:53:54 +0100

Hello,
I have a statistics related question, not directly stata. But maybe
still somebody can help me as I am puzzeled.
I ran a regression
log(y) = c + b*m

where m is the migration rate per 1000 residents. I want to know how
to interpret the coefficient b. In text books the usual interpretation
for log-level specification is
% delta y =  (100 b) delta m

So delta m is taken as 1 and an increase by 1 unit in the independent
leads to a b*100 percentage increase in y.
But I have a rate per thousand as the independent variable. Hence an
increase by 1 unit would mean 1000 emigrants per 1000 resident which
doesn't make much sense. Has anybody any thoughts?
Best,
Stefan
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