A study involving the connection between physical activity and sports-related video games has been completed by the International Sports Marketing department at the Ecole Superieure des Sciences Economiques et Commerciales, who came to the conclusion that there is a correlation between the level of physical activity and sports games due to the fact that sports games tend to inspire people under the age of 21 to pursue the same sports in real life.
One thing I do know from watching people in the archive is that sports games do tend to inspire a heightened level of physical activity as players cheer on their team, pump their fists in the air, yell at the screen, and blame the game controls when things don't go the way they wanted it to. But they don't mention that in the study.
More information at Serious Games Source.