The scheme that usually happen is when the price or value of bitocoin increase. The most possible outcome would be the altcoins will be following the condition and they will also has their value increase.
of course, the altcoin will follow the State of the market. When the market goes up, there will be the possibility of altcoin will follow suit. but it all depends on the market potential of altcoin itself, if it has a high order buy it could make cost-increasing.