Technically, it's not that some people leave out the r, but that they change it to a y sound. It's considered wrong by some traditionalists, even though it's quite widespread. I don't think it's a regional thing so much as it is a learned/unlearned distinction. Some people might naturally say it with the r, but I would guess that as a radio announcer he's been trained to say it that way.
I unashamedly pronounce it feb-yoo-a-ry.