Can you clear something up here. Are you talking about February or April? President's Day is in February, and historically, much of the Northeast got the whole week off, calling it President's Week. The reasoning was that this was statistically the week with the highest fuel costs, the highest teacher and student absentee rate, (due to cold and flu season), and a week that was very likely to suffer from school closings anyway due to winter storms. So the school systems decided to simply "punt" and close for the whole week. Save some money. Let people get healthy without infecting others in a closed environment, etc. However, the recent trend has been to want to end the school year earlier so the vacation week has either been cut back to the single Monday Federal Holiday, or, in some cases, a Friday or Tuesday is tacked on to make it a 4 day weekend. This has also been caused by a rash of large Winter storms closing schools in the northeast at times other than February, resulting in the school year dragging out until the third or fourth week of June in some circumstances. So, whereas 5 years ago one might have a pretty solid idea about "Red Sox and Yankees" nations all being in Florida during President's Week, this has become less predictable.
Now...if you are talking about a President's Week in April, I have to confess that I have no idea what that is.