In this paper, we present a complete performance analysis of the scalar diffusion strategies over distributed networks. Scalar diffusion strategies are based on the diffusion implementation and adaptive extraction of the information from the diffusion data which is compressed into a scalar. This strategy require significantly less communication load while achieving similar performance with the full information exchange configuration. Here, we provide the transient and steady-state analysis of the scalar diffusion strategies for Gaussian regressors. Finally, in the numerical examples, we demonstrate that the theoretical results match with the simulation results.