There is no fixed correlation in between bitcoin and the rest of the altcoins. There were times that when bitcoin is up many alts followed the same patterns and there were also times when they don't. The influence of bitcoin with the rest of the cryptocurrency market is quite obvious and proven but it does not mean that the same pattern can be seen at all times. This is making this whole market very exciting, unpredictable and hopefully for someone who is good on trading also very profitable.
Although, still, altcoins (most always) follow Bitcoin. I am talking about the top-20 tokens. Shitcoins have their own life, and some of them (although, finally these coins will die) can bring fast unexpected profit to their investors.