The models went through a series of specification in order to make the parameters the best linear unbiased estimates. To test for the unbiasedness of the linear functions, a test for heteroskedacity was employed using the White test using Koenker R2. When the null hypothesis was accepted, this implies of the presence of the heteroskedaskticity was detected, hence, it is necessary to treat the data. The test for presence of heteroskedasticity was employed using Shazam ver 9.0 software. The Poisson estimation revealed that there were more accidents which occurred during the day, than during the night which comes in consistency with the data reported in the Philippine Statistical Yearbook (PSY) 2008. Simulation of models was employed.