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Bounded Dependent Variable

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Hello everyone, I have a question. I am running a panel regression for 29 cities and a period of 7 years. My dependent variable is CGI which measures the level of income segregation strictly having a continuous positive value from 0 to 1. However, after running the regression, I found the constant to be a positive value of 1.85 (greater than the maximum value of CGI), while the variable of over65 (fraction of population > 64 years old) to have a coefficient of -1.27, which is lower than the minimum value of CGI. Should there be specific treatments on dependent variables with such characteristics? I know the latest version of stata have the option of beta and fractional regression but I do not have access to it and I think logistic regression option seems implausible since the dependent variable have a continuous value from 0 to 1. Below I attached the result of the regression,

Code:
xtreg   cgi   gini  emp1 lowskill1  logpop   logmed  own hs25 sarjana25 eighteen over65 i.year,  fe  robust

Fixed-effects (within) regression               Number of obs      =       203
Group variable: id                              Number of groups   =        29

R-sq:  within  = 0.5303                         Obs per group: min =         7
       between = 0.1904                                        avg =       7.0
       overall = 0.0000                                        max =         7

                                                F(16,28)           =     32.74
corr(u_i, Xb)  = -0.6414                        Prob > F           =    0.0000

                                    (Std. Err. adjusted for 29 clusters in id)
------------------------------------------------------------------------------
             |               Robust
          cgi  |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval]
-------------+----------------------------------------------------------------
        gini |   .2098422   .1119539     1.87   0.071    -.0194849    .4391694
        emp1 |  -.0026784   .0016391    -1.63   0.113     -.006036    .0006792
   lowskill1 |   .0852168   .0709025     1.20   0.239    -.0600204     .230454
      logpop |  -.0595715   .0732945    -0.81   0.423    -.2097085    .0905656
      logmed |  -.0617125   .0605833    -1.02   0.317    -.1858117    .0623867
         own |   .1888378   .0879009     2.15   0.040      .008781    .3688946
        hs25 |  -.0774792   .2259464    -0.34   0.734    -.5403094     .385351
   sarjana25 |   .5969337   .3611071     1.65   0.109    -.1427607    1.336628
    eighteen |   .0292786   .4995487     0.06   0.954    -.9940006    1.052558
      over65 |    -1.2718   .7602054    -1.67   0.105    -2.829011    .2854097
             |
        year |
       2006  |   .0143375   .0154605     0.93   0.362    -.0173319     .046007
       2007  |  -.0090962   .0205345    -0.44   0.661    -.0511593    .0329668
       2008  |   -.025067   .0349562    -0.72   0.479    -.0966716    .0465375
       2009  |   .0210048   .0308709     0.68   0.502    -.0422314    .0842409
       2010  |   .0274367   .0366644     0.75   0.461    -.0476669    .1025404
       2011  |   .0174045    .039606     0.44   0.664    -.0637247    .0985337
             |
       _cons |   1.849855   1.663708     1.11   0.276    -1.558097    5.257806
-------------+----------------------------------------------------------------
     sigma_u |  .09637064
     sigma_e |  .03855145
         rho |  .86204928   (fraction of variance due to u_i)
------------------------------------------------------------------------------
Thank you!

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