e.g. for every $1 of price change in cryptocurrency A you might expect $X change in cryptocurrency B
or perhaps a percentage instead of an absolute change...
it likes like alt coins take a serious beating every time bitcoin dips. it looks like if bitcoin drops 20% litecoin drops 50%? does that seem like the case with most alt coins ? and is the reverse true as well? if bitcoin goes up 10% will alt coins typically go up more than 10%?
Nope there is no relationship like that, each coin costs a different amount of energy to mine because of difficulty, hash algorithms, and number of coins per block. Then you have the exchanges that are manipulated by bots and shrewd players with deep pockets, so they whole show is pretty random.