Unbolt the radar antenna, rotate it 90 degrees, and reattach. Then turn on the radar, and see if the pattern is still shown to the aft on the display screen (namely, at 180 degrees), or if it now shows at 90 or 270 degrees. Then put the antenna back to it's original position, and rebolt.
If the pattern still showed to the aft, you've eliminated the gps/anchor masts and antennae as a source of the problem. If not, try turning the anchor lights and gps on and off (kill all power to each, which might require pulling the fuse for the gps), and see if that makes any difference in the patterns. If so, you've identified the source. If turning them on and off doesn't matter, I have one more idea.
Since the pattern shows while the boat is out of the water, it doesn't seem like there's much point in considering wakes, or other water effects, as a possible source.
Let us know what happens.