As the chart shows, there is a very minimal correlation between time spent on the site and performance in the Games (r^2 = 0.011979544540980701479) and has a correlation coefficient of -0.109451105709265, where +1 or -1 is perfect correlation and 0 is no correlation whatsoever. For those of you who are not statistically minded, the above graph should speak for itself. Note that outliers have been removed.
(Tip: when you mouse over the points, it will show two numbers; this is "experience/place." For example the point 5/2 indicates a member who had been on the site for 5 months prior to the reaping whose tribute placed second.)