I don't think Chelsea will be relegated from the premier league. There are other teams who are not playing very well at the moment. Pochettino is a good manager, I just think the players are not really implementing his his game plans on the pitch. I think they didn't buy the right quality players during the transfer window.
Chelsea are doing much better than bottom of the table teams. Their level hasn't stooped so low that they will be relegated so easily. They have lot of good players in squad and I think they have lot of potential to get back on track again. The team chemistry is just not upto the level that a big 6 team should have inn Premier League. Yeah they also need to make some good signings in area where they lack, for instance on defence (particularly centre back).
I guess they need to give the captain band to a more experience player and also not an injury prone players, Chelsea are may currently be lacking on defence (Cb) because of these players are injured like Fofana and Chalobah while Badiashile is not yet back to his best since he returned from injury, Silva really needs some rest but this has not been possible because of these injuries. The truth is chelsea will not be relegated the issue is them going bankrupt because of all these failed signings and injury woes. Chelsea mainly needs a good 9 and an experience midfielder.