The Clarets are now six points from safety in the Premier League, following a 3-1 defeat at home to Newcastle last night.
Arsenal will spend New Year's five points clear at the top of the table, after hammering Aston Villa 4-1.
There were boos at full-time at Old Trafford, where Manchester United could only manage a 1-all draw with bottom side Wolves.
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Chelsea had to settle for a point in a 2-all draw with Bournemouth at Stamford Bridge,
James Garner scored against his former club as Everton ran out 2-0 winners at Nottingham Forest,
Forest are still four points clear of the relegation zone, following West Ham's 2-all draw with Brighton.
