Watford 1-2 Manchester United
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Memphis Depay's goal was the first that Watford have conceded in the first half of a game at Vicarage Road since January 2015.
Watford's Troy Deeney became the first player to score at both ends in the same Premier League game since Damien Delaney in May 2014.
Deeney's goal in the right net was the first that United had conceded in all competitions in 641 minutes.
Chelsea 1-0 Norwich City
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Chelsea frontman Diego Costa ended a goal drought in all competitions that had dated back 603 minutes.
The assist for that goal was provided by Cesc Fabregas, and it was his first for the Blues in 10 outings.
The travelling Canaries have kept only one clean sheet from their last 17 encounters on the road.
Everton 4-0 Aston Villa
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Everton striker Romelu Lukaku has found the net seven times in his last seven Premier League appearances.
The Belgian also became just the fifth player to have scored 50 Premier League goals before the age of 23.
In the last 10 Premier League meetings between these two sides, Villa have collected maximum points just once.
Newcastle United 0-3 Leicester City
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Jamie Vardy scored for the 10th Premier League game in a row, which matched the achievement of Ruud van Nistelrooy in 2003.
After 13 matches last season the Foxes were bottom of the table - 12 months on they find themselves a point clear at the summit.
The hosting Magpies have found the net just once in their last four Premier League outings.
Southampton 0-1 Stoke City
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Having conceded at least one goal in each of their previous eight Premier League games, Stoke have now kept five clean sheets in their last six fixtures.
Their run of four clean sheets on the road is the club's best sequence since 1970.
The home side had a total of 15 shots in total, but only one of them worked Jack Butland in the Stoke goal.
Swansea City 2-2 Bournemouth
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Bournemouth attacker Josh King became the 35th Norwegian to score a goal in the Premier League.
The draw means that the Cherries are without a victory from their last nine games in all competitions.
As for the Swans, their winless run in front of their own supporters at the Liberty Stadium has been extended to five matches.
West Bromwich Albion 2-1 Arsenal
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Since he joined the Gunners from Montpellier in 2012, no player has scored more headed goals in the Premier League than Olivier Giroud (16).
The Frenchman's deadlock-breaking moment was set up by Mesut Ozil, who has now assisted a goal in each of his last seven appearances, which is a Premier League record.
Meanwhile, West Brom's James Morrison scored for the third time in his career against Arsenal.
Manchester City 1-4 Liverpool
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The defeat was the heaviest that the Citizens have suffered since they moved to the Etihad Stadium in 2003.
On a more positive note, Sergio Aguero became the highest-scoring South American in Premier League history when he found the net for the 85th time.
From his five appearances against City, Liverpool playmaker Philippe Coutinho has found the net on four occasions.
Tottenham Hotspur 4-1 West Ham United
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Spurs centre-forward Harry Kane has scored eight goals in his last five outings in all competitions.
Right-back Kyle Walker found the back of the net for the first time in the Premier League since December 2013.
The result ended a run of three matches without defeat for the visiting Hammers at White Hart Lane.
Crystal Palace 0-1 Sunderland
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The victory was the 150th that Sam Allardyce has racked up as a manager in the Premier League.
The match-winner was Jermain Defoe, who has now found the net seven times in his last nine appearances for the Black Cats.
As for Palace, their woes at Selhurst Park have continued, having won just three times at that venue in their last 10 outings.