There certainly is correlation:
- https://docs.google.com/a/digicoast.com/spreadsheet/oimg?key=0AmcTCtjBoRWUdHVRMHpqWUJValI1RlZiaEtCT1RrQmc&oid=10&zx=cdrtjfh4wgfg
- https://docs.google.com/a/digicoast.com/spreadsheet/ccc?key=0AmcTCtjBoRWUdHVRMHpqWUJValI1RlZiaEtCT1RrQmc (underlying data)
Clearly, difficulty does tend to rise when the exchange rate rises, difficulty drops are correlated as well though less so.
But the relationship is that difficulty follows price, and not the other way around.
- http://blog.brocktice.com/2011/05/25/the-relationship-between-bitcoin-price-and-difficulty/