Contrary to what you folks are saying, many Calvinists that I've read believe regeneration precedes faith, but in my mind, the two are inseparable. Faith is the immediate result of regeneration. Like I said, it's like giving sight to a blind man. Open the eyes to truth and what you see is undeniable truth.
4 But because of his great love for us, God, who is rich in mercy, 5 made us alive with Christ even when we were dead in transgressions—it is by grace you have been saved.
10 For we are God’s handiwork.