  Through the McDonald Observatory M Dwarf Planet Search, we have acquired
nearly 3,000 high-resolution spectra of 93 late-type (K5-M5) stars over more
than a decade using HET/HRS. This sample provides a unique opportunity to
investigate the occurrence of long-term stellar activity cycles for low-mass
stars. In this paper, we examine the stellar activity of our targets as
reflected in the H-alpha feature. We have identified periodic signals for 6
stars, with periods ranging from days to more than 10 years, and find long-term
trends for 7 others. Stellar cycles with P > 1 year are present for at least 5%
of our targets. Additionally, we present an analysis of the time-averaged
activity levels of our sample, and search for correlations with other stellar
properties. In particular, we find that more massive, earlier type (M0-M2)
stars tend to be more active than later type dwarfs. Furthermore,
high-metallicity stars tend to be more active at a given stellar mass. We also
evaluate H-alpha variability as a tracer of activity-induced radial velocity
(RV) variation. For the M dwarf GJ 1170, H-alpha variation reveals stellar
activity patterns matching those seen in the RVs, mimicking the signal of a
giant planet, and we find evidence that the previously identified stellar
activity cycle of GJ 581 may be responsible for the recently retracted planet f
(Vogt et al. 2012) in that system. In general, though, we find that H-alpha is
not frequently correlated with RV at the precision (typically 6-7 m/s) of our
measurements.
