In addition to what everyone else has already said, for Sn2, you always want to think about the transition-state as being like a trigonal bipyramidal sort of shape. Weak bases are more stable, less electronegative, larger in size (think of going down the halides), and therefore more polarizable, generally.
The polarizability goes with the electronegativity -- if the leaving group holds onto the electrons less tightly, it can still provide electron density to the transition state. But it is stable once it leaves, as well.