Abstract
By using linear regression model and Least-Squares Estimation LSE estimator to estimate the parameters in accidents data in Libya where there are three kind of accidents "death, heavy injuries, simple injuries" data and after analysis it. In order to explain the effects of these variables to number of road accidents, fuzzy linear regression models with level of significance 0.1 and 0.5 are tested. it find that the simple linear regression can be used, using the hypotheses it find Y_1& Y_3 models are crossing the origin point, also the models Y_1^*,Y_2^*,Y_3^* used to prediction the numbers of accidents for few next years, it has been hypothesized that number of road accidents and road casualties are increased in line with the raise in the variables of registered vehicles, population and road length.