Everton team was in real danger this season until the last round i did not expect this poor performance from them with the good squad they had i think their main problem was their offense they only managed to score 34 goals in 38 games which is really poor for a team with such history i hope they correct their mistakes in the next season and they sign a good manager and some good players.
Regarding Everton, I know the game against Bournemouth helped them to stay in the league for next season and they were lucky enough to beat Bournemouth and take the full three points from that game otherwise other teams like Leicester City could easily take their place in the next season in the premier league.