It was Martinez's 15th shutout of the campaign, meaning he has drawn level with a Villa legend for the number of clean sheets in a single Premier League season.
For more on this and other must-know facts from the 35th round of matches, read below. To see the reports and key data, click on the results.
Joe Willock is the first player since Papiss Cisse in 2012 to score in four consecutive Premier League appearances for Newcastle United, and the youngest player to do so at 21 years and 260 days. He is also the youngest player to score in four consecutive PL matches since Marcus Rashford did so in January 2019 at 21 years and 60 days.
Leeds United are the first side to be unbeaten at home to Arsenal, Chelsea, Liverpool, Manchester City, Manchester United and Tottenham Hotspur in a season since West Ham United in 2015/16, and only the third promoted side to do so, after Ipswich Town in 2000/01 and Birmingham City in 2009/10.
Man City are the first team to miss at least four penalties in consecutive PL seasons since Spurs in 1993/94 and 1994/95.
Man Utd have won 10 top-flight matches after conceding first this season, a record by a team in a single season in the competition. They have also recovered 31 points from losing positions, with only Newcastle in 2001/02 recovering more in a single season (34).
Emile Smith Rowe is the fourth Arsenal player aged 21 or under to score in the PL this season, along with Bukayo Saka, Gabriel Martinelli and Eddie Nketiah. No team have had more different U21 scorers in the competition this term.
Leicester boss Brendan Rodgers became the fourth different manager to win against Man Utd at Old Trafford in the Premier League with two different teams after Jose Mourinho, Rafael Benítez and Martin O'Neill.
Fourteen of Southampton's 44 Premier League goals this season have come from set-piece situations (excluding penalties), the highest ratio in the division (31.8 per cent). Che Adams' strike was from a corner.
Arsenal completed their first Premier League double over Chelsea since the 2003/04 season, while this was their first league win at Stamford Bridge since October 2011, ending an eight-match winless run there (D2 L6).
Emiliano Martinez kept his 15th clean sheet in the Premier League this season, equalling Brad Friedel's record from 2009/10 for the most shutouts kept by an Aston Villa goalkeeper in the competition.