Hello all,

Right now I'm using the margins and marginsplot commands to look at the graphs of two of my functions.
Both serve me to observe the relationship between two dependent variables (HHI2 and c.HHI2#c.HHI2) on two independent variables (FSTS and FATA).
This is the result:
Code:
eg FSTS_5 c.HHI2 c.HHI2#c.HHI2 emp xad FSTS i.fyear i.naicsh2, robust

Linear regression                               Number of obs     =      2,153
                                                F(31, 2121)       =     298.99
                                                Prob > F          =     0.0000
                                                R-squared         =     0.3360
                                                Root MSE          =     244.71

------------------------------------------------------------------------------
             |               Robust
      FSTS_5 |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval]
-------------+----------------------------------------------------------------
        HHI2 |   5.748962   5.958279     0.96   0.335    -5.935718    17.43364
             |
      c.HHI2#|
      c.HHI2 |  -6.141813   2.916205    -2.11   0.035    -11.86073   -.4228923
             |
         emp |   .0175882   .0280968     0.63   0.531    -.0375119    .0726883
         xad |  -.0046756   .0023271    -2.01   0.045    -.0092393    -.000112
        FSTS |  -.9846829   .0135233   -72.81   0.000    -1.011203   -.9581625
             |
       fyear |
       2010  |   28.35477    21.9708     1.29   0.197    -14.73179    71.44133
       2011  |   15.00335    17.3051     0.87   0.386     -18.9334    48.94009
       2012  |   9.730732   17.83667     0.55   0.585    -25.24845    44.70992
       2013  |   10.75918   16.95665     0.63   0.526    -22.49421    44.01258
       2014  |  -120.2575   138.6513    -0.87   0.386    -392.1641    151.6492
             |
     naicsh2 |
         21  |    14.1921    8.22762     1.72   0.085    -1.942946    30.32715
         23  |   1131.067   921.8457     1.23   0.220    -676.7488    2938.883
         31  |   18.74618   6.566223     2.85   0.004     5.869268    31.62308
         32  |   9.011241   4.928855     1.83   0.068     -.654653    18.67714
         33  |   20.72985   12.44844     1.67   0.096    -3.682577    45.14228
         42  |   12.48527   6.227395     2.00   0.045      .272827    24.69771
         44  |  -9.355896   18.03097    -0.52   0.604    -44.71612    26.00433
         45  |   26.66661   29.08853     0.92   0.359    -30.37842    83.71163
         48  |   4.820748   5.842496     0.83   0.409    -6.636873    16.27837
         49  |  -3.108557   9.183999    -0.34   0.735    -21.11914    14.90203
         51  |   14.96792   6.146632     2.44   0.015     2.913862    27.02198
         52  |   6.339456   4.996703     1.27   0.205    -3.459493     16.1384
         53  |   8.078983   5.903122     1.37   0.171    -3.497529     19.6555
         54  |   6.421113   5.475224     1.17   0.241    -4.316257    17.15848
         56  |   5.639013   5.717088     0.99   0.324     -5.57267     16.8507
         61  |  -3.834198   5.770391    -0.66   0.506    -15.15041    7.482019
         62  |   7.551174   8.546145     0.88   0.377    -9.208525    24.31087
         71  |   1.529445   9.937071     0.15   0.878    -17.95798    21.01687
         72  |   3.060731   10.66999     0.29   0.774      -17.864    23.98546
         81  |   3.465968   10.77805     0.32   0.748    -17.67069    24.60263
         99  |   13.02404   10.43827     1.25   0.212    -7.446282    33.49436
             |
       _cons |    -8.4586   14.86106    -0.57   0.569    -37.60237    20.68517
------------------------------------------------------------------------------

. margins, at(HHI2=(-2423761(1117477)3163628))

Predictive margins                              Number of obs     =      2,153
Model VCE    : Robust

Expression   : Linear prediction, predict()

1._at        : HHI2            =    -2423761

2._at        : HHI2            =    -1306284

3._at        : HHI2            =     -188807

4._at        : HHI2            =      928670

5._at        : HHI2            =     2046147

6._at        : HHI2            =     3163624

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   Std. Err.      t    P>|t|     [95% Conf. Interval]
-------------+----------------------------------------------------------------
         _at |
          1  |  -3.61e+13   1.71e+13    -2.11   0.035    -6.97e+13   -2.48e+12
          2  |  -1.05e+13   4.98e+12    -2.11   0.035    -2.02e+13   -7.22e+11
          3  |  -2.19e+11   1.04e+11    -2.11   0.035    -4.23e+11   -1.51e+10
          4  |  -5.30e+12   2.52e+12    -2.11   0.035    -1.02e+13   -3.65e+11
          5  |  -2.57e+13   1.22e+13    -2.11   0.035    -4.97e+13   -1.77e+12
          6  |  -6.15e+13   2.92e+13    -2.11   0.035    -1.19e+14   -4.23e+12
------------------------------------------------------------------------------

. marginsplot, noci

  Variables that uniquely identify margins: HHI2

. reg FATA_5 c.HHI2 c.HHI2#c.HHI2 ppent xad FATA i.fyear i.naicsh2, robust

Linear regression                               Number of obs     =        792
                                                F(27, 763)        =          .
                                                Prob > F          =          .
                                                R-squared         =     0.0595
                                                Root MSE          =     1.1202

------------------------------------------------------------------------------
             |               Robust
      FATA_5 |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval]
-------------+----------------------------------------------------------------
        HHI2 |  -.0165341   .0359016    -0.46   0.645    -.0870117    .0539435
             |
      c.HHI2#|
      c.HHI2 |   .0539992   .0216495     2.49   0.013     .0114995    .0964989
             |
       ppent |  -7.95e-06   6.37e-06    -1.25   0.212    -.0000204    4.55e-06
         xad |   .0000378    .000062     0.61   0.542     -.000084    .0001596
        FATA |   .1343711   .2019304     0.67   0.506    -.2620341    .5307762
             |
       fyear |
       2010  |  -.2459593   .2176589    -1.13   0.259    -.6732407    .1813222
       2011  |  -.2333696   .1971044    -1.18   0.237    -.6203008    .1535617
       2012  |  -.3467578   .2111575    -1.64   0.101    -.7612764    .0677608
       2013  |  -.3213393   .1899402    -1.69   0.091    -.6942068    .0515282
       2014  |  -.2064751   .2127234    -0.97   0.332    -.6240677    .2111174
             |
     naicsh2 |
         31  |  -.0743192   .2753656    -0.27   0.787    -.6148835     .466245
         32  |  -.1966656   .1492444    -1.32   0.188    -.4896441    .0963129
         33  |   -.019096   .1576282    -0.12   0.904    -.3285325    .2903405
         42  |  -.0332439   .1507483    -0.22   0.826    -.3291746    .2626869
         44  |  -.0854561   .1480687    -0.58   0.564    -.3761265    .2052143
         45  |   .0687517   .2181854     0.32   0.753    -.3595633    .4970667
         48  |   .3265516   .6709194     0.49   0.627    -.9905156    1.643619
         49  |  -.2243832   .3350705    -0.67   0.503    -.8821527    .4333863
         51  |  -.0832483   .1714566    -0.49   0.627     -.419831    .2533344
         52  |  -.1686548    .170126    -0.99   0.322    -.5026255    .1653158
         53  |   .0673404    .210384     0.32   0.749    -.3456597    .4803406
         54  |  -.0741498   .1613922    -0.46   0.646    -.3909753    .2426756
         56  |   .5535467   .3152264     1.76   0.079    -.0652673    1.172361
         61  |   .4271323   .2017446     2.12   0.035     .0310919    .8231727
         62  |   .5869191   .1646887     3.56   0.000     .2636223    .9102159
         71  |  -1.044368   1.085733    -0.96   0.336    -3.175747     1.08701
         72  |   .5358754   .3583476     1.50   0.135    -.1675888     1.23934
         99  |   .0488011   .1782962     0.27   0.784    -.3012082    .3988104
             |
       _cons |   .1388832   .2227807     0.62   0.533    -.2984527    .5762191
------------------------------------------------------------------------------

. reg FATA_5 c.HHI2 c.HHI2#c.HHI2 ppent xrd FATA i.fyear i.naicsh2, robust

Linear regression                               Number of obs     =      1,275
                                                F(27, 1246)       =          .
                                                Prob > F          =          .
                                                R-squared         =     0.0961
                                                Root MSE          =      .8586

------------------------------------------------------------------------------
             |               Robust
      FATA_5 |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval]
-------------+----------------------------------------------------------------
        HHI2 |   .0195055   .0213385     0.91   0.361    -.0223578    .0613687
             |
      c.HHI2#|
      c.HHI2 |   .0495493   .0145082     3.42   0.001     .0210862    .0780125
             |
       ppent |  -3.15e-06   1.82e-06    -1.73   0.085    -6.73e-06    4.31e-07
         xrd |   .0000206   .0000115     1.80   0.072    -1.84e-06    .0000431
        FATA |   .1481938    .228158     0.65   0.516    -.2994225      .59581
             |
       fyear |
       2010  |  -.2366492   .1873272    -1.26   0.207    -.6041608    .1308625
       2011  |   -.229709   .1766047    -1.30   0.194    -.5761844    .1167663
       2012  |  -.2354147   .1751642    -1.34   0.179    -.5790641    .1082346
       2013  |  -.3049266   .1750912    -1.74   0.082    -.6484328    .0385795
       2014  |  -.2289092   .1882133    -1.22   0.224    -.5981592    .1403407
             |
     naicsh2 |
         21  |  -.2419569   .8036023    -0.30   0.763     -1.81852    1.334606
         23  |   .1010646   .1894885     0.53   0.594    -.2706872    .4728164
         31  |   .0828105   .2214138     0.37   0.708    -.3515745    .5171956
         32  |  -.0947726   .1571047    -0.60   0.546    -.4029917    .2134464
         33  |   .0363552   .1754657     0.21   0.836    -.3078856    .3805961
         42  |   .0456493   .1812305     0.25   0.801    -.3099014    .4011999
         44  |   .0290768   .1645694     0.18   0.860    -.2937869    .3519405
         45  |   .0810528   .1920919     0.42   0.673    -.2958066    .4579121
         51  |  -.0342049   .1866898    -0.18   0.855    -.4004659    .3320561
         52  |   .8368939   .4879775     1.72   0.087    -.1204544    1.794242
         53  |  -.0331553   .2014176    -0.16   0.869    -.4283105    .3619999
         54  |   .1043922   .2340104     0.45   0.656    -.3547056      .56349
         56  |   1.284458   .7020799     1.83   0.068    -.0929312    2.661847
         62  |   .4936155   .2511334     1.97   0.050     .0009244    .9863066
         71  |  -1.716256   1.933938    -0.89   0.375    -5.510391     2.07788
         72  |   .4055285   .4908074     0.83   0.409    -.5573716    1.368429
         81  |   .3935147   3.828506     0.10   0.918    -7.117516    7.904545
         99  |   1.312217   .2205636     5.95   0.000     .8794997    1.744934
             |
       _cons |   .0099779   .2152347     0.05   0.963    -.4122845    .4322403
------------------------------------------------------------------------------

. margins, at(HHI2=(-2423761(1117477)3163628))

Predictive margins                              Number of obs     =      1,275
Model VCE    : Robust

Expression   : Linear prediction, predict()

1._at        : HHI2            =    -2423761

2._at        : HHI2            =    -1306284

3._at        : HHI2            =     -188807

4._at        : HHI2            =      928670

5._at        : HHI2            =     2046147

6._at        : HHI2            =     3163624

------------------------------------------------------------------------------
             |            Delta-method
             |     Margin   Std. Err.      t    P>|t|     [95% Conf. Interval]
-------------+----------------------------------------------------------------
         _at |
          1  |   2.91e+11   8.52e+10     3.42   0.001     1.24e+11    4.58e+11
          2  |   8.45e+10   2.48e+10     3.42   0.001     3.60e+10    1.33e+11
          3  |   1.77e+09   5.17e+08     3.42   0.001     7.52e+08    2.78e+09
          4  |   4.27e+10   1.25e+10     3.42   0.001     1.82e+10    6.73e+10
          5  |   2.07e+11   6.07e+10     3.42   0.001     8.83e+10    3.27e+11
          6  |   4.96e+11   1.45e+11     3.42   0.001     2.11e+11    7.81e+11
------------------------------------------------------------------------------

.
As you can see the two functions share the same domain, but different codomains (completely different margins values), which seems suspicious to me.
Do you happen to know what might be the cause and a possible solution to this problem?