The game's lone goal came from Eric Staal, who scored with 4:15 remaining in the first period. Carolina won for the third time in four games.
Anderson made 34 saves, but they were not enough to bring the Senators a third straight victory.
Ottawa will be playing without center Jason Spezza indefinitely after it was determined this week that he needs surgery to repair a herniated disk. Spezza has two goals and three assists this season.
The Hurricanes will now embark on a six-game road trip that begins Saturday in Philadelphia.