I have an error code for "Intake Manifold Runner Stuck Open" and i was wondering if this wire had something to do with it? It is a black single wire with male end on it.

 

What size motor is this? If it's the 4.2 then that code is referring to the intake runner actuator which is found on the back of the motor under the upper intake manifold. There were two designs on these motors:
The first is an electronically controlled actuator that looks like a black box. It has an elect. connector on top of it and also has two metal arms sticking out of it that control the manifold "flappers" that open and close when you step on the gas to control air flow into the combustion chambers. You will want to check the electrical connection to that box and also feel the arms when the engine is idling. when you rev it up some, the arms should move. If they do not, you may have a bad actuator box, or it may be in fact stuck open. Sometimes the little arms will come out of their plastic clips-especially if you have had some previous engine work done where the upper intake was removed, and that could be causing the code to appear.

The other design uses two vacuum operated canister type solenoids on each side of the back of the motor to control the flappers. There are no elect. connections to these, so I doubt they are the culprit if you have this type, but it never hurts to check the vacuum lines to them anyways.
hope this helps...

 

That almost looks like one of the plus that go on the front of my 5.4 on the intake side of my timing cover. Either knock sensor or temp sensor, Idk for sure.