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We present a spectroscopic analysis of nearly 8000 late-type dwarfs in theSloan Digital Sky Survey. Using the Halpha emission line as an activityindicator, we investigate the fraction of active stars as a function ofspectral type and find a peak near type M8, confirming previous results. Incontrast to past findings, we find that not all M7-M8 stars are active. We showthat this may be a selection effect of the distance distributions of previoussamples, as the active stars appear to be concentrated near the Galactic Plane.We also examine the activity strength (ratio of the luminosity emitted inHalpha to the bolometric luminosity) for each star, and find that the meanactivity strength is constant over the range M0-M5 and declines at later types.The decline begins at a slightly earlier spectral type than previously found.We explore the effect that activity has on the broadband photometric colors andfind no significant differences between active and inactive stars. We alsocarry out a search for subdwarfs using spectroscopic metallicity indicators,and find 60 subdwarf candidates. Several of these candidates are near theextreme subdwarf boundary. The spectroscopic subdwarf candidates are redder by\~0.2 magnitudes in g-r compared to disk dwarfs at the same r-i color.Comment: 17 pages, 9 figures, accepted for publication in A

Spectroscopic Properties of Cool Stars in the Sloan Digital Sky Survey: An Analysis of Magnetic Activity and a Search for Subdwarfs