I don't know if Newcastle can beat Liverpool away today, it must be a very difficult task... Judging by the stats, the last time they won away was 30 years ago...

But probably they can score a goal or even draw... Newcastle now have a big motivation to move Man City down in the standings and they will try to do it...
I doubt Newcastle have much chance of getting points today, Liverpool are too good. Bookmakers see this game like this at the moment:
1.43 - 5.10 - 6.60
In my opinion, a simple bet on Liverpool looks attractive, +43% for the obvious favorite to confirm its status in the home game.
It's a pity that the most interesting game of the round will be tomorrow, I already want to see how Tottenham, being crap in all other games, transforms when they meet City

You might be surprised. There is always room for an upset in any game. For Liverpool to be able to secure all three points they must avoid any form of complacency and play as a cohesive unit to be able to achieve the desired results.
As for Tottenham they have struggled tactically under pressure which could be a major hindrance in their game against Manchester City. Their inconsistency coupled with their weakness in defense makes it difficult for them to compete effectively against top sides however if they manage to stay organized and take their chances they could still pose a threat to Spurs.