According to Kimpex, that is the correct regulator. My concern is that there is only 2 wires. typically Kimpex have two yellow and a black. Ones that charge battery may have a green/yellow.
Black is usually grounded to the frame. In fact, if you do a continuity test between the black and the case, it will zero ohms, dead short. The black wire is in case you cannot mount it to a bare metal part of the frame.