There's no such thing as a shiny egg, only shiny Pokemon.
It is not predetermined.
If you save just before it hatches, you could try restarting it until it hatches shiny. Or, use and Action Replay.
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No, the egg will not be shiny. However, it is possible that the egg will hatch into a shiny Pokemon, but the chances of getting a shiny Pokemon from the egg are not any higher than they would be if the ditto were not shiny.
...shiny Pokemon are always shiny... ._.
There is a chance, but not usually. You can get shinies from eggs of normal colored Pokemon, but that's even rarer than encountering a shiny or getting a shiny from an egg laid by a shiny
There is no way of telling if a Pokemon in an egg is shiny until it hatches. Sorry.
you get it from an egg in Pokemon platinum