Victory at Carrow Road means Newcastle have now picked up 43 points from their 34 games so far this campaign.
They’re now 14 points clear of Everton in 18th place and are looking up the table, rather than down.
However, at the bottom of the table, there is a real fight for survival taking place in what could be a very exciting end to the season.
They may have little to play for, however, with games against Liverpool, Manchester City, Arsenal and Burnley, Eddie Howe’s side still have a major part to play in storylines at both ends of the division.
Here, courtesy of FiveThirtyEight, we take a look at the latest supercomputer predictions and where Newcastle Unitedwill finish in the Premier League table when it comes to its conclusion on May 22.
1. Manchester City - Champions
It will be a close title run-in, however Manchester City look like just having an edge to claim back-to-back Premier League titles. Predicted points = 92 (+67 GD), chances of winning Premier League = 64%
Photo: Alex Livesey
The supercomputer predicts that Jurgen Kopp’s side will narrowly miss out on a second Premier League title. Predicted points = 91 (+71 GD), chances of winning Premier League = 36%
Photo: Clive Brunskill
After a recent stumble, Chelsea are back to winning ways and look to have third-place wrapped up. Predicted points = 78 (+47 GD), chances of qualifying for Champions League = >99%
Photo: Ryan Pierse
The Gunners are current favourites for fourth spot but face a tight battle with their north London rivals for Champions League football. Predicted points = 69 (+15 GD), chances of qualifying for Champions League = 66%
Photo: Stuart MacFarlane