Question

Which has higher resistance a straight wire or coil of the same wire?

Answer 1

No the resistance only cares about the electron path through the material. Regardless of the shape or if it is wrapped around something it will not change.

On the other hand the inductance, which is related to the energy stored in the magnetic field created around the wire as current passes through it, will change with geometry and the material it is wrapped around. This is the best answer I guess