"Hi Dada"

CRAZY morning today. I got Cara out of her crib after she had a great night's sleep. We played on the floor for a bit until it was breakfast time. Brigid made a bottle and gave it to Cara on the couch.
I sat on the couch next to Brigid and Cara. Cara was sitting on Brigid's lap, being burped. She was very happy, having been fed and still feeling good from her solid night's sleep. She was getting patted on the back, looking around and just generally playing.
Since I was sitting beside them, Cara was looking right at me. She got her left arm going in a spasm that could certainly be mistaken for a wave, since she has been waving a bit lately. She looked me right in the eyes said "Hi Dada." Brigid and I looked at each other in awe, then back at Cara who simply had no idea. It was really more like "Haaaeeee daDA" but it was close enough for me. There is no doubt that it was some random syllables put together but IT WAS AWESOME. Not wanting her to miss the significance, I freaked out with praise and kisses -- standard fatherly over-reactions.
So I put it to the Internet at large: HOW SMART IS THIS KID?
Can kids get scholarships for Mensa?