The evident pattern appears to be that higher ranked schools have more F500 GCs, and the number of GCs per school declines as rankings go lower – until a third of the way across the numbers plateau. Your eye can fill in a line that starts high left, and drops down to about 30, at which point it levels off to the right side of the plot. From about a ranking of 30 on, the numbers bounce around randomly and fairly consistently. One might conclude from this specialized sample that if you didn’t graduate from a very elite law school, it doesn’t matter much if your goal is to reach the top rung of a Fortune 500 legal department.
A better way to depict the line would be with a trend line and confidence levels. But, that treat we hold for another post.