I think Ne can make fairly confident predictions about what will happen, since it's inherently a static function and already "lives" in the future. One of the resonant areas of discussion for Ne users is "insight", and I think this points to how analytical Ne can take a bunch of components, ingredients, or events at a specific juncture (a time object, pretty much) and sort of sum them together as a "Well, it's obvious that this is going to happen" sort of thing.
I think aixelsyd did a good job of capturing the extravert/introvert dichotomy between the Intuitions. When Ne looks at things, it can freely hop around because it's extraverted, and the distance between them is ignored (for instance, an attitude of "I can sit around and wait to implement this"). When Ni looks at things, it's the distance between the points that's important, so "this process will take X amount of time to fully unfold", which is why one of the advisory roles of Ni bases for their duals is "when to act" moreso than "What isn't like to happen, so please don't worry
", which is what Ne bases provide for their duals.
I suppose you can also apply the extravert/introvert thing to how they function on a creative level, too. I understand Ni as being a continual evolution due to its "flow" nature, while Ne is more analytical (ie, it thinks in terms of what something's abstract "ingredients" are, so I might look at user Isha and think she's made of Musician and Counselor, among other things, or look at user CeruleanFlame and think he's made of Whiner and Dweeb, among other things (j/k
)) and associative (for instance, one of my favourite games is "Five words" where I ask for five words and generate a theme from them and produce a related piece of trivia, or starting making links and tangents between them to see where I wind up).
EDIT
I think also, because Ne is Extraverted, it can live in a world where the future has already happened, while Ni will be engrossed in the various processes occurring, even if it can extrapolate them.