Dr. Martin indicates that the low resolution would be good to monitor the overall spectra and look for changes. High-resolution could then examine those line in detail. As I understand it, these stars are unpredictable and do many strange things that have not ben studied in detail. So periodic Star Analyser images, particularly of Betelgeuse would be great. Dr. Martine says emission lines periodically pop up, but it is hard to catch them. Comparing images should show changes. The trick will be to get a good technique so the spectrum images should be identical except for real spectral changes. This Project should be an excellent way to learn more about spectroscopy and to refine your techniques.