You can't talk about the information created by a game at all in a money-making context without making yourself legally liable to the league.
NBA tried to claim that in NBA v. STATS. At 1088, 1093, 1094 [come on Google, put in page and paragraph anchors!]:
NBA games do not constitute "original works of authorship" and thus do not fall within the subject matter of copyright protection ... I decline NBA's invitation to stretch the Copyright Act's grant of exclusivity to subject matters so far removed and qualitatively different from those at the core of its protection. ... Similarly, NBA has failed to show an infringement of its copyright in the broadcasts of NBA games. ... The mere fact that the information conveyed by defendants often is acquired by viewing the broadcasts of NBA games does not alter the fact that defendants have not copied the "`constituent elements of the [broadcasts of NBA games] that are original.'"
A state law claim of misappropriation was dismissed on appeal on the basis that federal copyright law preempts the state law. The 2nd Circuit's decision at 851 quotes Computer Associates v. Altai at 717 (this case is a good read for the Slashdot crowd: copyright, trade secret and software):
An action will not be saved from preemption by elements such as awareness or intent, which alter `the action's scope but not its nature'.... Following this `extra element' test, we have held that unfair competition and misappropriation claims grounded solely in the copying of a plaintiff's protected expression are preempted by section 301.
That said, the above case law may be merely academic if the sports leagues are just trying to run you out of business with legal fees and hassles.