Yes, the altcoins price is really depends on the market movement of bitcoins once price of bitcoin fluctuate other coins will also follow.
This can be said in the sense if you look at the market portion captured by Bitcoin; it is far more than that held by altcoin. Also the market cap matters a lot. Having said that, we can say any movement in the Bitcoin market can also affect the other crypto in the market. With the passage of time, as the prices appreciates for Bitcoin, the remaining crypto will follow.