To better understand Wolf-Rayet stars as progenitors of gamma-ray bursts , an understanding of the effect metallicity has on Wolf-Rayet mass loss is needed .
Using simple analytic models , we study the \dot { M } - Z relation of a WN star and compare the results to similar models .
We find that \dot { M } roughly follows a power law in Z with index 0.88 from -2.5 \leq \mathrm { log } Z / \mathit { Z } _ { \odot } \leq - 1 and appears to flatten by \mathrm { log } Z / \mathit { Z } _ { \odot } \sim - 0.5 .