Some stats for you

Only Southampton in 1998-99, Newcastle in 1999-2000, Sunderland in 2013-14 and Crystal Palace in 2017-18 have stayed up from that start.
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So almost half of the 9 teams have stayed up. Sounds positive!

How many of them sacked their manager during or after those 7 games?

comment by D'Jeezus Mackaroni (U1137)
posted 1 minute ago
Only Southampton in 1998-99, Newcastle in 1999-2000, Sunderland in 2013-14 and Crystal Palace in 2017-18 have stayed up from that start.
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So almost half of the 9 teams have stayed up. Sounds positive!

How many of them sacked their manager during or after those 7 games?
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3 out the 4 that stayed up sacked their managers.
Only Dave Jones at Saints stayed and kept them up

"Danny Ward has faced 44 shots this season and conceded 22"

The only goalkeeper I have ever since who visibly shrinks when he is facing a shot. Probably the worst goalkeeper to be a starting No.1 in Premier League history. We'd be better off sticking a traffic cone in goal.

"Only Southampton in 1998-99, Newcastle in 1999-2000, Sunderland in 2013-14 and Crystal Palace in 2017-18 have stayed up from that start."

Newcastle's struggle was under Ruud Gullit after he had pretty much declared war on Alan Shearer and other senior players. If I remember correctly, he was sacked after a local derby defeat on a Monday night. Could be something familiar in that...

Palace were transitioning to a different style under De Boer and were an absolute basketcase. Southampton in the late 90s and Sunderland in the early-mid 10's were perennial strugglers so not sure if there was anything particularly abnormal about those two.

I am amazed that Brenton persists with Danny Ward, he is not good enough at this level and needs to be replaced - just how bad are Iversen and Smithies?

Only Dave Jones at Saints stayed and kept them up
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Dave was an absolute gent and got treated appallingly. He was a superb tactician and had us playing much better than our position showed. But we just couldn't get results on the road.