How we cite our quotes: All quotations are from Dirty Dancing.
Quote #1
BABY: That was the summer of 1963, when everybody called me "Baby" and it didn't occur to me to mind.
What this amazing first line implies is that at some point during the course of this movie, Baby is going to mind being called Baby. It also sets the stage for us to realize that as the younger sister, she's probably been pretty pampered all her life.
Quote #2
BABY: Where'd they learn to do that?
BILLY: Where? I dunno. Kids are doing it in their basements back home. Wanna try it?
Baby's shocked when she sees the dancers, because they are nothing like she has ever seen before. From her reaction, we can see that she's led a relatively sheltered lifestyle but she's not scared of trying something new.