4 of our next 6 league fixtures against the top 6 of last season will be at home, so we have an opportunity to nick a result or two out of those. If we can get two wins out of those 6, we might be able to salvage a top 6 finish. Our away record has to improve under Allardyce though, and to his credit, he already has 4 points out of 6 away from home.
Arsenal and Burnley also have to trend downwards, and expecting Arsenal to fall that far is perhaps a little too hopeful. Burnley, on the other hand, can fall in a heart beat. I wouldn't underestimate them though as they have proven themselves very competent on the road. They haven't really had any convincing victories though (have they won a league game by more than 1 goal apart from Swansea?).
Optimist in me says 6th and Arsenal choke... Realist in me says 7th