United beat QPR, Potters win too
Harry Redknapp saw QPR lose 3-1 at Manchester United on Saturday, while Stoke and Wigan also claimed home wins in the Premier League.
Stoke beat Fulham 1-0 and Wigan triumphed 3-2 over Reading. Elsewhere, West Brom won 4-2 at Sunderland to go third in the table, Aston Villa and Arsenal played out a goalless draw, and Everton drew 1-1 with Norwich at Goodison Park.
New Rangers boss Redknapp watched from the Old Trafford stands as the visitors surrendered a second-half lead en route to another defeat.
The bottom-of-the-table R's, under the temporary guidance of Mark Bowen, took the lead in the 52nd minute when Jamie Mackie pounced from close range after Anders Lindegaard had pushed out Kieron Dyer's cross-shot.
But the London team were swiftly undone by two set-pieces, Jonny Evans and Darren Fletcher both on target with headers from Wayne Rooney corners, before Anderson surged forwards and set up Javier Hernandez for a cool finish to settle matters.
Earlier, Redknapp, 65, was given a two-and-a-half-year contract by Rangers - just 24 hours on from Mark Hughes' sacking - but will not take charge of the team until Tuesday's game at Sunderland.
Victory took United back to the top of the Premier League standings ahead of Manchester City's trip to Chelsea on Sunday.
West Brom earlier moved up to third spot after Simon Mignolet's howler in the lunchtime kick-off helped the Baggies beat Sunderland 4-2 at the Stadium of Light.
The Black Cats goalkeeper gifted Shane Long the simplest of opportunities to fire into an empty net two minutes before the break when he allowed Chris Brunt's pass to squirm from his grasp.
Steve Clarke's men were already leading through Zoltan Gera's superb strike on the half-hour, and although the home side launched a fightback when Craig Gardner's 73rd-minute free-kick was deflected home, substitute Romelu Lukaku's late penalty looked to have sealed a fourth successive win for the first time in the Premier League.
Stephane Sessegnon reduced the deficit from close range with three minutes remaining. But, after Lukaku had hit the post deep in stoppage time, fellow substitute Marc-Antoine Fortune made sure at the death.
In the other 3pm kick-offs, Jordi Gomez's hat-trick spared Ali Al Habsi's blushes as Wigan overcame Reading 3-2, Everton and Norwich drew 1-1 and Stoke edged Fulham 1-0.
Sean Morrison's first goal for the Royals - a fine header into the top corner from Nicky Shorey's cross - had earned the visitors an interval lead at the DW Stadium.
But Gomez equalised 13 minutes into the second period, lashing high into the net after his initial low effort from substitute Franco Di Santo's cross had been parried by Adam Federici, and then grabbed a second 10 minutes later with a superb diving header from Jean Beausejour's cross.
Ten minutes from time, Hal Robson-Kanu's blocked shot looped high into the air and Al Habsi - seemingly expecting to be put under more pressure than he was - fumbled the ball under his crossbar and looked on helplessly as it trickled over the line.
However, Gomez was not done, and swept home from Arouna Kone's pass in stoppage time to complete his treble.
There was also late drama at Goodison Park, where Sebastien Bassong's 90th-minute diving header from Javier Garrido's free-kick earned the Canaries a point. Steven Naismith had given the Toffees a 12th-minute lead.
Finally, Charlie Adam's 26th-minute goal secured Stoke a 1-0 win against Fulham at the Britannia Stadium, the Scotland midfielder the beneficiary of the knockdown after Peter Crouch comfortably beat Philippe Senderos in the air.
In the evening kick- off, Aston Villa climbed out of the bottom three with a deserved share of the spoils in a 0-0 draw against Arsenal at Villa Park.
But a single point did little to bolster Arsene Wenger's hopes of re-igniting their top-four challenge in a game of few clear-cut chances.
It needed a fine save from Gunners keeper Wojciech Szczesny to deny Villa substitute Brett Holman a late winner.