User: Aadit Garg
___    ____ ____     ____ ____ ®
          /__      /   ____/     /   ____/      18.0
         ___/     /   /___/     /   /___/       SE—Standard Edition
          Statistics and Data Science           Copyright 1985-2023 StataCorp LLC
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         Serial number: 401809380958
           Licensed to: Aadit Garg
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         Notes:
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        1 . log using "/Users/aaditgarg/Downloads/ECOTRIX PROJECT NEW.smcl"
               name:       <unnamed>
                log:       /Users/aaditgarg/Downloads/ECOTRIX PROJECT NEW.smcl
           log type:       smcl
          opened on:        4 May 2024, 14:58:00
        2 . *(11 variables, 0 observation pasted into data editor)
        3 . *(11 variables, 32 observations pasted into data editor)
        4 . tsset years
         Time variable: years, 1991 to 2022
                 Delta: 1 unit
        5 . sum
             Variable              Obs        Mean      Std. dev.        Min             Max
                  years             32      2006.5      9.380832         1991       2022
                      y             32    4.393224      2.889689    -6.726292   8.184368
                     x1             32    2.19e+10      1.98e+10     7.35e+07   6.44e+10
                     x2             32    60.34922      14.85954     29.45682   76.04893
                     x3             32    17.17138      5.420518     8.494241   25.43086
                     x4             32     38.66888     12.25605    22.51077    54.57172
                     x5             32     2.965256     1.184119     1.74839    7.109348
                     x6             32    -.2833392     .1879832     -.55335     .476368
                     x7             32     1.33e+12     9.89e+11    2.70e+11    3.42e+12
                     x8             32      49.9595     1.495908      46.485       52.71
                     x9             32    2.10e+09      7.06e+08    7.21e+08    3.27e+09
        6 . regression y x1 x2 x3 x4 x5 x6 x7 x8 x9
          command regression is unrecognized
          r(199);
        7 . reg y x1 x2 x3 x4 x5 x6 x7 x8 x9
                  Source          SS           df         MS        Number of obs        =         32
                                                                    F(9, 22)             =       2.58
                Model        132.839257         9     14.7599175    Prob > F             =     0.0339
             Residual        126.020167        22      5.7281894    R-squared            =     0.5132
                                                                    Adj R-squared        =     0.3140
                  Total      258.859424        31      8.350304     Root MSE             =     2.3934
                      y     Coefficient   Std. err.       t    P>|t|      [95% conf. interval]
                     x1      -2.06e-10    7.33e-11     -2.80   0.010     -3.58e-10           -5.35e-11
                     x2      -.0979951     .072036     -1.36   0.187     -.2473886            .0513984
                     x3      -.0053864    .2814394     -0.02   0.985     -.5890559            .5782832
                     x4       .5151669    .2616311      1.97   0.062     -.0274227            1.057757
                     x5      -.8892771    .6453612     -1.38   0.182     -2.227674            .4491201
                     x6      -2.112591    2.696086     -0.78   0.442     -7.703931            3.478749
                     x7       1.89e-12    1.73e-12      1.10   0.285     -1.69e-12            5.48e-12
                     x8       1.760346    .7835565      2.25   0.035      .1353492            3.385343
                                                                     04/05/24, 3:15 P                      Page 1 of 3
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User: Aadit Garg
                   x9       -4.91e-10   1.03e-09     -0.48    0.637     -2.62e-09            1.64e-09
                _cons       -92.42007   39.95152     -2.31    0.030     -175.2745           -9.565681
        8 . predict ui, residuals
        9 . jb ui
          Jarque-Bera normality test: 1.711 Chi(2)        .4252
          Jarque-Bera test for Ho: normality:
       10 . histogram ui, normal
          (bin=5, start=-4.1737537, width=1.5068362)
       11 . qnorm ui
       12 . pwcorr x1 x2 x3 x4 x5 x6 x7 x8 x9 ui
                                x1        x2        x3        x4        x5             x6        x7
                   x1        1.0000
                   x2        0.6692    1.0000
                   x3        0.7528    0.7914    1.0000
                   x4        0.9162    0.7430    0.9099    1.0000
                   x5        0.1559    0.1730    0.4640    0.3383    1.0000
                   x6        0.0188   -0.1130   -0.2514   -0.1536   -0.3104    1.0000
                   x7        0.9263    0.6403    0.7233    0.8962    0.0109    0.0700        1.0000
                   x8       -0.8311   -0.4029   -0.5941   -0.8073   -0.0358    0.0219       -0.8269
                   x9        0.5516    0.1091    0.3433    0.5521    0.0535   -0.0224        0.6179
                   ui       -0.0000    0.0000   -0.0000   -0.0000    0.0000   -0.0000       -0.0000
                                x8        x9        ui
                   x8        1.0000
                   x9       -0.5423    1.0000
                   ui        0.0000   -0.0000   1.0000
       13 . estat vif
             Variable           VIF        1/VIF
                   x4         55.64     0.017971
                   x7         15.80     0.063291
                   x3         12.59     0.079397
                   x1         11.44     0.087401
                   x8          7.44     0.134495
                   x2          6.20     0.161267
                   x5          3.16     0.316417
                   x9          2.84     0.352435
                   x6          1.39     0.719366
             Mean VIF         12.95
       14 . estat hettest
         Breusch–Pagan/Cook–Weisberg test for heteroskedasticity
         Assumption: Normal error terms
         Variable: Fitted values of y
         H0: Constant variance
             chi2(1) =   1.41
         Prob > chi2 = 0.2356
       15 . estat ovtest
         Ramsey RESET test for omitted variables
         Omitted: Powers of fitted values of y
         H0: Model has no omitted variables
         F(3, 19) =   6.64
         Prob > F = 0.0030
       16 . imtest, white
         White's test
         H0: Homoskedasticity
         Ha: Unrestricted heteroskedasticity
                                                                    04/05/24, 3:15 P                    Page 2 of 3
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            chi2(31) = 32.00
         Prob > chi2 = 0.4167
         Cameron & Trivedi's decomposition of IM-test
                         Source        chi2      df          p
              Heteroskedasticity      32.00      31     0.4167
                        Skewness      12.74       9     0.1749
                        Kurtosis       1.88       1     0.1699
                          Total       46.62      41     0.2523
       17 . estat dwatson
         Durbin–Watson d-statistic( 10,       32) =   1.419278
       18 . graph export "/Users/aaditgarg/Downloads/QNORM RESIDUALS .png", as(png) name("Graph")
          file /Users/aaditgarg/Downloads/QNORM RESIDUALS .png saved as PNG format
       19 . histogram ui, normal
          (bin=5, start=-4.1737537, width=1.5068362)
       20 . graph export "/Users/aaditgarg/Downloads/HISTOGRAM UI, normal.png", as(png) name("Graph")
          file /Users/aaditgarg/Downloads/HISTOGRAM UI, normal.png saved as PNG format
       21 . log close
                name:   <unnamed>
                 log:   /Users/aaditgarg/Downloads/ECOTRIX PROJECT NEW.smcl
            log type:   smcl
           closed on:    4 May 2024, 15:12:01
       22 .
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