We investigate a spatially flat Friedmann-Robertson-Walker ( FRW ) cosmological model with cold dark matter coupled to a modified holographic Ricci dark energy through a general interaction term linear in the energy densities of dark matter and dark energy , the total energy density and its derivative [ 1 ] . Using the statistical method of \chi ^ { 2 } -function for the Hubble data , we obtain H _ { 0 } = 73.6 km/sMpc , \omega _ { s } = -0.842 for the asymptotic equation of state and z _ { acc } = 0.89 . The estimated values of \Omega _ { c 0 } which fulfill the current observational bounds corresponds to a dark energy density varying in the range 0.25 R < \rho _ { x } < 0.27 R .