LOL are you real? your connection to yourself is probably going to be very good!
edit
OK my first post was not very helpful as you clearly do not know, the lines represent the latency time (AKA ping) between yourself and the other person, therefore it is going to generally be the same from either end, so the lines you see is going to be the same lines the other person will see next to your name. it has nothing to do with thier or your connection to the net, only between each other. I hope that is a little more helpful.