In this paper, 18 periods of data including solar wind parameters and geomagnetic indices from 1972 to 1974 are used in regression analysis to specify the value of magnetic coupling coefficient a for the energy transfer from solar wind to the magne-tosphere. The values calculated are very different for different events with no superior band. The dispersion pattern of the results keeps for modified versions of controlling factors in regression processes. This indicates that the mechanism of energy transfer from solar wind to the magnetosphere varies from event to event. The electromagnetic coupling may be the most important among the possible coupling mechanism but not the unique.