                            OLS Regression Results                            
==============================================================================
Dep. Variable:     lognumber_of_buses   R-squared:                       0.920
Model:                            OLS   Adj. R-squared:                  0.916
Method:                 Least Squares   F-statistic:                     4773.
Date:                Tue, 26 Aug 2025   Prob (F-statistic):               0.00
Time:                        17:48:08   Log-Likelihood:                -238.36
No. Observations:                2650   AIC:                             754.7
Df Residuals:                    2511   BIC:                             1572.
Df Model:                         138                                         
Covariance Type:                  HC0                                         
=====================================================================================================================================
                                                                        coef    std err          z      P>|z|      [0.025      0.975]
-------------------------------------------------------------------------------------------------------------------------------------
constant                                                              1.6689      0.280      5.950      0.000       1.119       2.219
day_of_weekFE_1                                                      -0.0055      0.014     -0.405      0.685      -0.032       0.021
day_of_weekFE_2                                                      -0.0088      0.013     -0.653      0.514      -0.035       0.018
day_of_weekFE_3                                                      -0.0226      0.014     -1.603      0.109      -0.050       0.005
day_of_weekFE_4                                                      -0.0426      0.013     -3.200      0.001      -0.069      -0.017
day_of_weekFE_5                                                      -0.5369      0.031    -17.103      0.000      -0.598      -0.475
day_of_weekFE_6                                                      -1.5752      0.141    -11.194      0.000      -1.851      -1.299
route_name_cleanFE_abule egba - tbsobalende                           2.3434      0.040     58.127      0.000       2.264       2.422
route_name_cleanFE_agege - alausa                                     0.5067      0.032     15.806      0.000       0.444       0.570
route_name_cleanFE_agege - allen                                      0.6600      0.044     14.938      0.000       0.573       0.747
route_name_cleanFE_agege - berger                                     1.1652      0.050     23.392      0.000       1.068       1.263
route_name_cleanFE_agege - ijaye                                     -0.5084      0.067     -7.581      0.000      -0.640      -0.377
route_name_cleanFE_agege - iju ishaga                                 1.4689      0.041     35.935      0.000       1.389       1.549
route_name_cleanFE_agege - meiran                                     0.3509      0.051      6.918      0.000       0.252       0.450
route_name_cleanFE_agege - yaba - oyingbo                            -0.4812      0.074     -6.527      0.000      -0.626      -0.337
route_name_cleanFE_ago palace way - mile - train station              0.9507      0.044     21.441      0.000       0.864       1.038
route_name_cleanFE_agric - ebute                                     -0.3996      0.044     -9.061      0.000      -0.486      -0.313
route_name_cleanFE_agric - ipakodo                                    0.4477      0.042     10.763      0.000       0.366       0.529
route_name_cleanFE_agric - isawo                                      0.5067      0.032     15.834      0.000       0.444       0.569
route_name_cleanFE_ajah - abraham adesanya                           -1.0691      0.027    -39.387      0.000      -1.122      -1.016
route_name_cleanFE_ajah - addo roundabout                          -5.17e-13   9.32e-14     -5.546      0.000      -7e-13   -3.34e-13
route_name_cleanFE_ajah - sangotedo                                   1.1049      0.068     16.173      0.000       0.971       1.239
route_name_cleanFE_akinogun road - ghetto corner                     -0.8870      0.149     -5.936      0.000      -1.180      -0.594
route_name_cleanFE_akiogun - eko hotel roundabout                    -1.0620      0.026    -40.225      0.000      -1.114      -1.010
route_name_cleanFE_alapere estate - oshogun                           0.0170      0.056      0.304      0.761      -0.093       0.127
route_name_cleanFE_asolo - agric - oshodi -                       -2.293e-12   1.11e-13    -20.725      0.000   -2.51e-12   -2.08e-12
route_name_cleanFE_asolo - agric - tbs                             1.528e-12    7.4e-14     20.653      0.000    1.38e-12    1.67e-12
route_name_cleanFE_barracksyaba - tbs n                           -1.784e-12   8.86e-14    -20.145      0.000   -1.96e-12   -1.61e-12
route_name_cleanFE_baruwa - ikeja - oshodi                            0.5887      0.069      8.568      0.000       0.454       0.723
route_name_cleanFE_berger - ekohotel - lekki                          0.3141      0.059      5.303      0.000       0.198       0.430
route_name_cleanFE_berger - magodo isheri                            -1.0077      0.043    -23.558      0.000      -1.092      -0.924
route_name_cleanFE_berger - ogba                                      0.9018      0.034     26.391      0.000       0.835       0.969
route_name_cleanFE_berger - ojota                                     0.5460      0.051     10.750      0.000       0.446       0.646
route_name_cleanFE_berger - olowora                                  -0.3929      0.058     -6.794      0.000      -0.506      -0.280
route_name_cleanFE_berger - tbs                                       2.0008      0.086     23.286      0.000       1.832       2.169
route_name_cleanFE_berger - yaba - ajah                            1.741e-12   8.25e-14     21.099      0.000    1.58e-12     1.9e-12
route_name_cleanFE_cms - epe                                         -1.0581      0.026    -40.417      0.000      -1.109      -1.007
route_name_cleanFE_costain - mushin                                   1.6400      0.045     36.852      0.000       1.553       1.727
route_name_cleanFE_dalemo - oshodi                                    1.0207      0.035     29.047      0.000       0.952       1.090
route_name_cleanFE_dopemu - obalendecmstbs                         1.069e-12   5.07e-14     21.075      0.000    9.69e-13    1.17e-12
route_name_cleanFE_egbeda - obalende                                 -1.0581      0.026    -40.417      0.000      -1.109      -1.007
route_name_cleanFE_eko hotel roundabout - obalende                   -0.5470      0.073     -7.496      0.000      -0.690      -0.404
route_name_cleanFE_eko hotel roundabout - tbs                         0.4017      0.053      7.543      0.000       0.297       0.506
route_name_cleanFE_ewuelepe - ikorodu garage                          0.4541      0.055      8.196      0.000       0.346       0.563
route_name_cleanFE_falomo - banana island                            -0.2388      0.053     -4.541      0.000      -0.342      -0.136
route_name_cleanFE_falomo - cms                                      -1.0783      0.027    -39.473      0.000      -1.132      -1.025
route_name_cleanFE_falomo - tbs                                      -0.8769      0.073    -11.940      0.000      -1.021      -0.733
route_name_cleanFE_gbogije - awoyaya                                  0.9569      0.062     15.400      0.000       0.835       1.079
route_name_cleanFE_igando - obalende                                 -1.0581      0.026    -40.417      0.000      -1.109      -1.007
route_name_cleanFE_ikeja - agege                                      0.5379      0.034     15.930      0.000       0.472       0.604
route_name_cleanFE_ikeja - alausa                                     0.8438      0.037     23.007      0.000       0.772       0.916
route_name_cleanFE_ikeja - ayobo                                      0.9555      0.035     27.549      0.000       0.888       1.023
route_name_cleanFE_ikeja - berger                                     0.9421      0.038     24.539      0.000       0.867       1.017
route_name_cleanFE_ikeja - egbeda                                     0.3282      0.026     12.538      0.000       0.277       0.380
route_name_cleanFE_ikeja - igando                                     0.6154      0.046     13.509      0.000       0.526       0.705
route_name_cleanFE_ikeja - ikotun                                     0.8861      0.045     19.639      0.000       0.798       0.975
route_name_cleanFE_ikeja - iyana ipaja                                0.6262      0.053     11.914      0.000       0.523       0.729
route_name_cleanFE_ikeja - obalende                                   0.7529      0.115      6.560      0.000       0.528       0.978
route_name_cleanFE_ikeja - ojota                                      0.1151      0.051      2.254      0.024       0.015       0.215
route_name_cleanFE_ikorodu - cms                                      0.5314      0.231      2.297      0.022       0.078       0.985
route_name_cleanFE_ikorodu - fadeyi                                   1.5100      0.030     50.766      0.000       1.452       1.568
route_name_cleanFE_ikorodu - igbogbo                                  1.3418      0.049     27.382      0.000       1.246       1.438
route_name_cleanFE_ikorodu - ikeja                                    0.8669      0.050     17.256      0.000       0.768       0.965
route_name_cleanFE_ikorodu - ketumaryland                          9.746e-13   4.62e-14     21.109      0.000    8.84e-13    1.07e-12
route_name_cleanFE_ikorodu - laspotechodongunyan                      0.4374      0.084      5.197      0.000       0.272       0.602
route_name_cleanFE_ikorodu - obalende                                 1.1097      0.029     38.811      0.000       1.054       1.166
route_name_cleanFE_ikorodu - odogunyan                            -7.456e-15   3.51e-16    -21.239      0.000   -8.14e-15   -6.77e-15
route_name_cleanFE_ikorodu - ogolonto                                 0.8137      0.049     16.656      0.000       0.718       0.909
route_name_cleanFE_ikorodu - oshodi                                   2.3954      0.046     51.651      0.000       2.305       2.486
route_name_cleanFE_ikorodu - tbs                                      3.7950      0.042     91.223      0.000       3.713       3.877
route_name_cleanFE_ikosi road - alausa                                0.5514      0.026     21.062      0.000       0.500       0.603
route_name_cleanFE_ikosi road - love all                             -0.9194      0.065    -14.165      0.000      -1.047      -0.792
route_name_cleanFE_ikosi road - magodo gate                           0.5332      0.034     15.678      0.000       0.467       0.600
route_name_cleanFE_ikotun - marinacms                                -0.4689      0.059     -7.906      0.000      -0.585      -0.353
route_name_cleanFE_ilasamaja - yaba                                  -0.4571      0.086     -5.295      0.000      -0.626      -0.288
route_name_cleanFE_inner marina - falomo                             -0.3982      0.093     -4.302      0.000      -0.580      -0.217
route_name_cleanFE_isolo - five star                                 -0.9085      0.089    -10.160      0.000      -1.084      -0.733
route_name_cleanFE_iyana ipaja - ayobo                                0.5291      0.030     17.626      0.000       0.470       0.588
route_name_cleanFE_iyana ipaja - obalende                             0.4846      0.057      8.534      0.000       0.373       0.596
route_name_cleanFE_jakande estate - cele                             -1.0638      0.030    -35.093      0.000      -1.123      -1.004
route_name_cleanFE_jakande gate - five junction                       0.2097      0.189      1.110      0.267      -0.160       0.580
route_name_cleanFE_jakandegatecele                                    0.3929      0.054      7.327      0.000       0.288       0.498
route_name_cleanFE_jokeayo - oshodi                                   1.1608      0.034     33.804      0.000       1.093       1.228
route_name_cleanFE_jokeayo - yaba n                                  -1.0581      0.026    -40.417      0.000      -1.109      -1.007
route_name_cleanFE_ketu - tbs                                        -0.3334      0.064     -5.175      0.000      -0.460      -0.207
route_name_cleanFE_kola - ikeja                                       0.2423      0.086      2.820      0.005       0.074       0.411
route_name_cleanFE_kola - oshodi                                     -0.0585      0.058     -1.005      0.315      -0.173       0.056
route_name_cleanFE_lasu gate - iba gate                            7.344e-16   3.19e-17     23.017      0.000    6.72e-16    7.97e-16
route_name_cleanFE_lbe barracks - alakija - oyingbo                  -1.0615      0.028    -38.186      0.000      -1.116      -1.007
route_name_cleanFE_lbe barracks - alakija - tbs                       1.2737      0.046     27.645      0.000       1.183       1.364
route_name_cleanFE_lekki - ajah                                      -0.5999      0.129     -4.662      0.000      -0.852      -0.348
route_name_cleanFE_magodo village - berger                           -0.1951      0.075     -2.607      0.009      -0.342      -0.048
route_name_cleanFE_marina - eko hotel                                -0.1122      0.073     -1.533      0.125      -0.256       0.031
route_name_cleanFE_marina - mile - train                             -0.5378      0.040    -13.541      0.000      -0.616      -0.460
route_name_cleanFE_marina train station - cmstinubuinner marina    1.443e-16   3.13e-17      4.614      0.000     8.3e-17    2.06e-16
route_name_cleanFE_marina train station - eko hotel - lekki          -0.4342      0.052     -8.300      0.000      -0.537      -0.332
route_name_cleanFE_marina train station - eko hotel roundabout        0.0477      0.054      0.880      0.379      -0.059       0.154
route_name_cleanFE_marina train station - eko hoteladeola odeku -    -0.0730      0.051     -1.437      0.151      -0.172       0.027
route_name_cleanFE_marina train station - obalendefalomocms           0.3584      0.062      5.786      0.000       0.237       0.480
route_name_cleanFE_marina train station - tinubu                     -0.4689      0.061     -7.729      0.000      -0.588      -0.350
route_name_cleanFE_maryland - ifakoijaiye                         -5.507e-14      0.036  -1.54e-12      1.000      -0.070       0.070
route_name_cleanFE_meiran - iyana ipaja                               0.6296      0.045     14.078      0.000       0.542       0.717
route_name_cleanFE_mile - alapere                                     1.6757      0.046     36.176      0.000       1.585       1.766
route_name_cleanFE_mile - apapa                                       0.7027      0.055     12.776      0.000       0.595       0.811
route_name_cleanFE_mile - marina                                      0.5809      0.061      9.577      0.000       0.462       0.700
route_name_cleanFE_mile - okokomaiko                                  1.5682      0.046     34.257      0.000       1.478       1.658
route_name_cleanFE_mile - yaba - tbs                                 -1.0658      0.026    -40.575      0.000      -1.117      -1.014
route_name_cleanFE_moshalasi - costain                                0.2861      0.038      7.565      0.000       0.212       0.360
route_name_cleanFE_mushin - national theater                         -0.2774      0.048     -5.831      0.000      -0.371      -0.184
route_name_cleanFE_national theatre - ijora olopaleventis             0.0436      0.032      1.353      0.176      -0.020       0.107
route_name_cleanFE_obalende - ajah                                -1.257e-16   2.82e-17     -4.449      0.000   -1.81e-16   -7.03e-17
route_name_cleanFE_obalende - banana island                           0.0055      0.096      0.057      0.954      -0.182       0.194
route_name_cleanFE_odogunyan - cms                                   -0.0984      0.134     -0.733      0.463      -0.361       0.165
route_name_cleanFE_odogunyan - ikorodu - oshodi                       1.0868      0.079     13.717      0.000       0.931       1.242
route_name_cleanFE_odogunyan - ikorodu - tbs                          0.8805      0.067     13.209      0.000       0.750       1.011
route_name_cleanFE_ogolonto - igbogbo                                -1.0498      0.028    -37.345      0.000      -1.105      -0.995
route_name_cleanFE_ojota - egbeda                                     0.5787      0.030     18.983      0.000       0.519       0.638
route_name_cleanFE_ojota - ogba                                       0.4819      0.042     11.362      0.000       0.399       0.565
route_name_cleanFE_ojubode - obalende                                -0.5189      0.130     -4.004      0.000      -0.773      -0.265
route_name_cleanFE_ojubode ikorodu - oshodi                           0.8214      0.074     11.027      0.000       0.675       0.967
route_name_cleanFE_ojuelegba - idi ara                                0.0203      0.031      0.646      0.518      -0.041       0.082
route_name_cleanFE_okokomaikoiyana iba - tbsev                       -0.4008      0.046     -8.631      0.000      -0.492      -0.310
route_name_cleanFE_opic - berger                                      0.1887      0.112      1.679      0.093      -0.032       0.409
route_name_cleanFE_oshodi - abuleegba                                 3.2378      0.107     30.260      0.000       3.028       3.447
route_name_cleanFE_oshodi - agege                                     0.8417      0.053     15.818      0.000       0.737       0.946
route_name_cleanFE_oshodi - ajah                                      1.7026      0.090     18.844      0.000       1.525       1.880
route_name_cleanFE_oshodi - apapa                                     0.7382      0.105      7.063      0.000       0.533       0.943
route_name_cleanFE_oshodi - ayobo - ayetoro                           1.5486      0.045     34.125      0.000       1.460       1.638
route_name_cleanFE_oshodi - berger                                    0.9474      0.090     10.511      0.000       0.771       1.124
route_name_cleanFE_oshodi - cele                                      1.6671      0.028     58.771      0.000       1.611       1.723
route_name_cleanFE_oshodi - command                                  -0.6136      0.074     -8.321      0.000      -0.758      -0.469
route_name_cleanFE_oshodi - egbeda                                    0.5970      0.032     18.935      0.000       0.535       0.659
route_name_cleanFE_oshodi - ikola                                    -1.0328      0.036    -28.777      0.000      -1.103      -0.962
route_name_cleanFE_oshodi - ikotun                                   -1.0581      0.026    -40.417      0.000      -1.109      -1.007
route_name_cleanFE_oshodi - meiran                                    0.1438      0.054      2.670      0.008       0.038       0.249
route_name_cleanFE_oshodi - obalende                                  2.2368      0.092     24.228      0.000       2.056       2.418
route_name_cleanFE_oshodi - sango otta                               -0.2933      0.059     -4.942      0.000      -0.410      -0.177
route_name_cleanFE_oshodi - shasha                                    0.2014      0.054      3.759      0.000       0.096       0.306
route_name_cleanFE_oshodi - tinubu                                    0.2551      0.050      5.124      0.000       0.157       0.353
route_name_cleanFE_oyingbo - iyana ipaja                              0.7852      0.101      7.757      0.000       0.587       0.984
route_name_cleanFE_oyingbo - ojuelegba                               -0.5113      0.071     -7.224      0.000      -0.650      -0.373
route_name_cleanFE_oyingbo - oshodi                                  -1.0461      0.028    -37.921      0.000      -1.100      -0.992
route_name_cleanFE_palmgroove - costain                              -1.0548      0.027    -38.390      0.000      -1.109      -1.001
route_name_cleanFE_sangotedo - awoyaya                                0.6779      0.084      8.074      0.000       0.513       0.842
route_name_cleanFE_unilag - yaba                                      1.4346      0.102     14.109      0.000       1.235       1.634
route_name_cleanFE_waterways - wharf                                  0.5987      0.060      9.941      0.000       0.481       0.717
route_name_cleanFE_yaba - berger                                   2.388e-13   2.19e-14     10.909      0.000    1.96e-13    2.82e-13
route_name_cleanFE_yaba - ikotun                                     -0.0203      0.044     -0.465      0.642      -0.106       0.065
route_name_cleanFE_yaba - maryland - iyanaipaja                       0.0148      0.040      0.368      0.713      -0.064       0.093
route_name_cleanFE_yaba - obalende                                 4.152e-17   7.26e-18      5.717      0.000    2.73e-17    5.58e-17
route_name_cleanFE_yabaoyingbo - idumota                             -0.4094      0.075     -5.456      0.000      -0.557      -0.262
days_since_start                                                     -0.0015      0.001     -2.123      0.034      -0.003      -0.000
==============================================================================
Omnibus:                     1058.681   Durbin-Watson:                   1.865
Prob(Omnibus):                  0.000   Jarque-Bera (JB):             8432.232
Skew:                          -1.684   Prob(JB):                         0.00
Kurtosis:                      11.064   Cond. No.                     2.70e+20
==============================================================================

Notes:
[1] Standard Errors are heteroscedasticity robust (HC0)
[2] The smallest eigenvalue is 6.02e-33. This might indicate that there are
strong multicollinearity problems or that the design matrix is singular.