Rinne collected his 41st victory of the season, tying him with Pittsburgh's Marc-Andre Fleury for the league lead, as the Predators vaulted over idle Detroit for sole possession of the West's fourth playoff seed.
The sixth-seeded Blackhawks, meanwhile, saw their five-game winning streak snapped, managing only a single goal from Viktor Stalberg.
Corey Crawford was pulled after yielding four goals on just 15 shots.
Ray Emery entered and turned aside 7-of-9 shots the rest of the way for Chicago.
Attkisson leaves CBS News, reportedly over network's 'liberal bias'
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