That seems like quite a coincidence, right? Well, there's a little trickery going on here that is key to making this all work. Notice that it starts near the right edge but ends up in the lower left corner - exactly where the blue dot starts. Now examine the path traced out by the red dot. It starts in the lower left corner and ends up near the middle of the right edge after three seconds. If you examine the lower movie to the right you'll see such a path traced out by the blue dot.
Visualize a graph showing the path that our layer traces out as it moves randomly from time zero through three seconds.
Let's say we want to create a three-second loop of wiggle motion.