Hi-

This is my first time posting. I have read a number of super helpful posts (thank you Clyde Schechter) that have gotten me to this point but I am still in need of assistance and hoping for some guidance.

I am working with panel data from two cities where my key dependent variable is the MONTHLY violent crime rate so I have months starting in 2014 and into 2018. About mid way through these years one city received an intervention and the control city did not. I want to test whether the intervention (treat) had an impact on the monthly crime rate. Here is my model and results.

city2 is 1 for treated city and 0 for control city
id is the monthyear id

Code:
xtset city2 id
xtreg Vio_R time##treat, fe cluster(city2)
Code:
. xtreg Vio_R time##treat, fe cluster(city2)
note: 1.treat omitted because of collinearity

Fixed-effects (within) regression               Number of obs      =        84
Group variable: city2                           Number of groups   =         2

R-sq:  within  = 0.4145                         Obs per group: min =        42
       between = 1.0000                                        avg =      42.0
       overall = 0.2758                                        max =        42

                                                F(0,1)             =         .
corr(u_i, Xb)  = -0.1550                        Prob > F           =         .

                                  (Std. Err. adjusted for 2 clusters in city2)
------------------------------------------------------------------------------
             |               Robust
       Vio_R |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval]
-------------+----------------------------------------------------------------
      1.time |  -10.51491   5.07e-14 -2.1e+14   0.000    -10.51491   -10.51491
     1.treat |          0  (omitted)
             |
  time#treat |
        1 1  |  -5.391841   5.02e-14 -1.1e+14   0.000    -5.391841   -5.391841
             |
       _cons |   32.47385   1.22e-14  2.7e+15   0.000     32.47385    32.47385
-------------+----------------------------------------------------------------
     sigma_u |  7.5495077
     sigma_e |  7.9734117
         rho |  .47271208   (fraction of variance due to u_i)
------------------------------------------------------------------------------

.
My interpretation is that the intervention was successful in significantly reducing violent crime...is that correct?
More importantly does this model fit the question I am asking? I read a bunch about the -diff- command but it didn't seem suitable for panel data. Here's to hoping I am on the right track!

Thanks in advance for any guidance!