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Table 3
Negative Binomial Regressions for Number of Person-Trips: All Purposes and Recreational Purposes

  Variable Beta SE t-stat P-value Negative binomial regression Poisson regression
Dependent variable: number of person-trips for all purposes Constant 1.672 0.012 138.00 0.000    
HH members per vehicle owned 0.255 0.004 59.20 0.000    
Income per household member �16E-06 2.77E-07 �.40 0.000    
Population density �42E-06 6.10E-07 �25 0.000    
Vehicle age �014 0.001 �.80 0.000    
Weekend day indicator 0.100 0.007 13.50 0.000    
SUV indicator 0.045 0.012 3.85 0.000    
Pickup indicator �164 0.011 �.90 0.000    
Minivan indicator 0.302 0.011 28.50 0.000    
Over-dispersion parameter 0.351 0.004 97.10 0.000    
Log-likelihood Function for number of person-trips for all purposes Constant only         �1,113.3 �0,951.3
Convergence         �7,983.1 �8,642.7
Pseudo-R2         0.026 0.076
Dependent variable: number of person-trips for recreational purposes Constant 0.485 0.021 22.80 0.000    
HH members per vehicle owned 0.204 0.008 25.90 0.000    
Income per household member �14E-06 4.73E-07 �60 0.000    
Population density �12E-06 1.09E-06 �60 0.000    
Vehicle age �018 0.001 �.60 0.000    
Weekend day indicator 0.590 0.014 41.40 0.000    
SUV indicator 0.005 0.021 0.20 0.814    
Pickup indicator �292 0.019 �.20 0.000    
Minivan indicator 0.308 0.020 15.70 0.000    
Over-dispersion parameter 1.009 0.011 93.40 0.000    
Log-likelihood function for number of person-trips for recreational purposes Constant only         �,460.37 �,6536.4
Convergence         �,612.10 �,753.51
Pseudo-R2         0.022 0.064

Number of observations: 41,538 vehicles
Model form: Number of person-trips ~ negative binomial with expected value exp(β′X) and non-negative over-dispersion parameter