Here is that same trend line by party identification:
From June 2013 to October 2013, tea party favorable ratings dropped nine points among Republicans, eight point among independents and seven points among Democrats. (Interestingly, tea party favorable ratings -- at least among Republicans and independents -- had been on the rise between February 2010 and June 2013.)
This polling bears out the broader problem for the Republican Party going forward. The tea party remains a potent force within the walls of Congress -- thanks in large part to the fact that most Republican politicians live in fear of crossing their activist base and losing a primary. But, apart from the hard-core GOP activists, it's becoming less and less popular. The fact that just three in 10 independents now have favorable views of the tea party should be a warning to any 2016 Republican candidate that closely affiliating with the party's most conservative elements could be problematic in a general election. Of course, to win the nomination in 2016, you may well need those tea party activists on your side -- or at least not strongly against you. Therein lies the rock-meet-hard-place that Republicans are in at the moment.