In this paper, we consider the random effect panel data model which has fixed and random effects as well as the experimental error term. Bayesian approach employed to make inferences on the model coefficients. To illustrated the effectiveness of the methodology. We have chosen a data set from gross fixed capital formation and gross domestic product by economic activities for public sector at current prices for the years (2005-2015) (Million I.D.). The data are analysed according to our methodology by using gretl, R and matlab softwares.