[@Mae] Thank you! And of course, I will explain it to the best of my ability. 

Adobe Illustrator is a vector program, meaning it thinks in lines and shapes rather than pixels. The live trace, or image trace depending on the version, is designed to turn pixels into lines and shapes via color detection. I've found that it's more than possible to input graphite/paper drawing, select the trace function, and come out with smoother line work than I would have otherwise not been able to accomplish.
It's not by any means perfect, it often requires a bit of fiddling to make sure all the lines come out or there aren't any bumps. I have included a link to an example of a live trace I did of one of my own works. I hope this helps you out! ^_^

Live Trace Example: [url]https://drive.google.com/open?id=0B1Gka7O7b7RYN2xiSlMxNEJ1OVk[/url]