Surface roughness plays an important role in manufacturing and the product quality depends on the surface roughness. The present work focuses on developing a multiple regression model with dependent input variables for the prediction of surface roughness in end milling. The working parameters, viz. speed, feed and depth of cut are considered in this model. The experiments were conducted based on factorial design in Design of Experiments (DOE). The values surface roughness predicted by this model are then verified with additional experiments and compared.