There are two main methods to calculate the temperature dependence of electrical resistivity. The first one known as the Ziman method is based on relaxation time calculations. The second, known as the correlation function method, is one of many methods used to arrange Kubo expressions into a new formula is very simple to use to calculate transport properties. In this work, we applied these two methods to electron-ion interactions of simple metals which can be described by a local pseudopotential. There the temperature dependence of the electrical resistivity of the simple metals was calculated. The results were compared with experimental data over a wide range of temperatures and agreement was found to be good for both methods. Compared with Ziman method, correlation function method is more appropriate for calculating the electrical resistivity of high Debye temperature metals. Also, the relationship between the electrical and mechanical properties of metals is discussed. Particularly, we outline a method to evaluate the temperature dependence of sound velocity and elastic constant by calculating electrical resistivity.