"Tonight, I thought, was more of a complete game," Ellis said. "We can always get better, but it was a better game from our bunch. [Rinne] made some great saves, some timely saves. All around, I thought our team was good."
Smith was a healthy scratch for the Predators in a 4-2 loss to the Carolina Hurricanes on Saturday and has nine goals after scoring 20 or more in three consecutive seasons.
"[Smith] has been using his legs," Ellis said. "His speed is his biggest asset, and tonight was no different. He was all over the place. Got a breakaway, they had a big save on that, but [Smith] was great tonight. Good to see him get on the board a couple times and hopefully get things rolling in the right direction."
Oliver Ekman-Larsson scored to make it 3-1 at 16:05 of the third period on a power play. Dvorak made a cross-ice pass that Ekman-Larsson one-timed past Rinne for his 11th goal.
"I think with both clubs, there wasn't much going on," Coyotes coach Dave Tippett said. "Both teams, a pretty tight-checking game. They got a break on their first goal, and then we were chasing from there."