The question that most highly correlates to getting hired is: "Hey, friend-or-acquaintance, my team at BigCo is hiring. Are you interested?"
My first job out of college, they made me an offer at the beginning of the interview process, because I'd interned with them before and they had a fairly good idea what I could do. The rest of the interviews were basically get-to-know-the-people-hired-after-your-internship.
Also, at bigger companies, your referral may not be from the group or specialty you'll actually be working with, and so you'll have to go through the interview process itself to make sure they can stand you. My Google application process was like this, and my IBM one would've been had I pursued it. It's still a big positive, that someone in the company is willing to vouch for you.