Transportation is the movement of people and goods from place to other, as a result of the interaction between different social and economical activities in several separate places. So, the main role of traffic engineering is to deal with planning, geometric design and traffic operations for road networks, terminals and lands lie on roads to achieve safe, fast and convenient transportation for people and goods. The main role of transportation for human`s life, leads to continuous increase in traffic volumes, which results continuous increase of road traffic accidents, environmental pollution and delays (because of traffic congestions). Increase of road traffic accidents is considered the most dangerous result of increased traffic volumes, as it cause many fatalities, injuries and damaged properties. So, it mainly and directly affects the situation of road traffic safety in Egypt, which became very dangerous during last few years. After collecting traffic data for Cairo – Suez Highway from the Traffic Police Department, Ministry of Interior in Egypt, this paper carries out quantitative statistical analysis of these data and finally, explores a linear regression model between the number of road traffic accidents and the types of vehicles caused these accidents. Data processing is mostly done by SPSS.