David Moyes: "The way I have been brought up you celebrate finishing first, and maybe in the Premier League you celebrate if you finish in the Champions League or Europe.
"But nevertheless, from where we were in October or November, and given the teams we were behind, it's been a brilliant achievement from the players.
"Anyone who's watching us now, we're purring. We played some top stuff today and have played in that fashion for the last few months really. It was really good to watch."
Everton substitute Tim Cahill - who appeared to get into a confrontation with Newcastle's Yohan Cabaye - was sent off after the final whistle.
Referring to the incident, Moyes said: "He (Cahill) says he was called something by Cabaye. I don't know what happened after that.
"My only thought was, (Newcastle midfielder) Cheick Tiote had four fouls after he got booked, and when he made the fourth there was a nod to get him off because he'd had too many.
"I thought the referee could have maybe shown a bit of common sense at the end and given him a yellow card."