Javascript random() isn't a crypto-strong PRNG. Depending on how any PRNG is seeded, guessing it's output may not be very hard at all - especially if you've seen it once before.
Eg, I once had a Poker playing game on an Amstrad that used a PRNG with a very predicable seeding strategy. I could amaze my friends by knowing exactly what cards I would be dealt.
It seems pretty impossible. Unless you're using a horribly flawed PRNG, patterns in the data should require analysis much deeper than human intuition could manage. This analysis would also probably require much more information than you would get from this experiment.