Hello,

I'm having a hard time trying to interpret the results of a negative binomial regression (xtnbreg) where the independent variable is log transformed (natural). Here it is L_grant_stockoptions.

I'm hesitating between two interpretations.

-A 1% change in L_grant_stockoptions leads to a -0.017 in log count of Acquisitions.
OR
-A 1% change in L_grant_stockoptions leads to a -0.017/100 change in Acquisitions unit.

Any help is appreciated


Code:
-------------------------------------------------------------------------------------
        Acquisitions |      Coef.   Std. Err.      z    P>|z|     [95% Conf. Interval]
---------------------+----------------------------------------------------------------
L_Grant_stockoptions |  -.0173741   .0098044    -1.77   0.076    -.0365904    .0018422
         L_firm_size |   .2318761   .0536278     4.32   0.000     .1267676    .3369847
   L_stock_ownership |   .0799546   .0347109     2.30   0.021     .0119224    .1479867
        L_other_comp |   .0677387   .0455417     1.49   0.137    -.0215213    .1569987
             CEO_age |   -.017233   .0115617    -1.49   0.136    -.0398936    .0054276
          CEO_gender |   1.481501    .874864     1.69   0.090    -.2332005    3.196203
          CEO_tenure |   .0093143   .0106577     0.87   0.382    -.0115745    .0302031
             Company |   .0003142   .0019597     0.16   0.873    -.0035268    .0041552
               _cons |  -5.340459   1.612631    -3.31   0.001    -8.501157   -2.179761
---------------------+----------------------------------------------------------------
               /ln_r |   2.452073   .3523153                      1.761548    3.142599
               /ln_s |   .3758031    .188786                      .0057893     .745817
---------------------+----------------------------------------------------------------
                   r |    11.6124   4.091227                      5.821442    23.16399
                   s |    1.45616   .2749028                      1.005806    2.108163
--------------------------------------------------------------------------------------