Aston Villa 1-2 Swansea City
The defeat proved to be Tim Sherwood's final game in charge of Aston Villa after just eight months in charge.
His tenure at Villa Park lasted for only 28 games, which is the shortest spell of any permanent Villa boss.
The victory ended a run of six matches without a win in all competitions for Garry Monk's Swansea.
Leicester City 1-0 Crystal Palace
Jamie Vardy became only the fifth different English player to score in seven successive Premier League matches.
The striker has also had a hand in 19 goals in his last 20 outings, finding the net 14 times and laying on five assists.
The visiting Eagles have lost four of their last six Premier League matches.
Norwich City 0-1 West Bromwich Albion
Since Tony Pulis took charge on January 10, West Brom have kept 16 Premier League clean sheets.
Of West Brom's four victories this season, three of them have come away from The Hawthorns.
The Canaries have lost seven of their last 12 encounters against West Brom in all competitions.
Stoke City 0-2 Watford
Having failed to score in his first nine Premier League outings, Watford striker Troy Deeney found the net at the Britannia Stadium.
This marked Watford's first victory in the month of October, having previously drawn four and lost six.
Of Stoke's four defeats this term, three have been inflicted in front of their own supporters.
West Ham United 2-1 Chelsea
Chelsea boss Jose Mourinho has lost six of his last 12 Premier League games - it took him 64 matches to lose the same number prior to that.
Eleven points from 10 games means that the Blues have made their worst ever start to a Premier League season.
In contrast, the 20 points that the Hammers have collected has seen them make their best start to a Premier League campaign.
Arsenal 2-1 Everton
Olivier Giroud found the net for Arsenal for the fourth time in his last five appearances in all competitions.
Also, Mesut Ozil laid on his seventh assist of the season, which is more than any other player.
As for travelling Everton, they have won just one of their last 17 Premier League meetings with the Gunners.
Sunderland 3-0 Newcastle United
Sunderland have now won their last six meetings against Newcastle - that had never previously been done in this fixture.
Adam Johnson became Sunderland's joint leading goalscorer in this fixture during the Premier League era along with Kevin Phillips, having taken his tally to four goals.
In their last eight encounters against the Wearsiders, Newcastle have scored only three goals and conceded 15.
Bournemouth 1-5 Tottenham Hotspur
Tottenham scored five goals in a Premier League encounter for the first time since New Year's Day.
Harry Kane, who had scored just one goal in 13 matches for Spurs this season, fired in his second Premier League hat-trick.
Matt Ritchie's goal for the hosting Cherries came after just 49 seconds, which is the quickest in the Premier League so far this season.
Manchester United 0-0 Manchester City
This was only the third time during the Premier League era that the Manchester rivals played out a 0-0 draw.
The Red Devils remain unbeaten at Old Trafford this term, but from their five matches, they have scored only seven goals.
This was Man City's first goalless draw since February 2014 against Norwich City, which dates back 61 matches.
Liverpool 1-1 Southampton
Jurgen Klopp is still awaiting his first victory as manager of Liverpool, having seen the Reds draw each of their three games under his watch.
No player has scored more headed goals than Christian Benteke (14) in the Premier League since the start of the 2013-14 campaign.
Southampton winger Sadio Mane has scored five goals in his last five outings in all competitions.