Newcastle United will surly top Chelsea. Newcastle is better than Chelsea this season and I hope they finish four on h table, since Manchester city is nt improving they might miss next season champions league if they fail to finish in top four. As for Nottingham forest they won't miss next year champions league they won't drop point, they are stronger team this season. I think they might win their remaining games to maintain in third position. So this is my top fur prediction this season, Tottenham, Arsenal, Nottingham forest and Newcastle.
Most importantly is for either of them to finish top four, luckily finishing top five now even makes sense as champions league now accepts an extra slot from Premier League making it five teams from Premier League can qualify for the champions league next season. You didn't add Liverpool to your top four which I see as incomplete because they are at the top of the table now and are leading with a good points difference. Tottenham is one team I least expected in that list, they aren't anywhere close to even to five their performance has been awful and they will not even be able to make it to the europa next season most likely except they win the europa trophy maybe but with the premier league, I don't see them getting it from there.