Effective plotting — and data visualization in general — makes the communication of quantitative ideas a lot easier.  Even for the researcher himself/herself, trends and patterns in a dataset may only become clear after the data is plotted properly.  This may involve transforming the data in some way, or performing regression to fit a model.
While there is a lot of choice when it comes to plotting software, matplotlib offers a number of advantages.  It is part of the free and open-source NumPy/SciPy stack, so there is plenty of transparency and flexibility, and all parts play nicely together.  All are Python-based, so looping through plot symbols and colors, for example, is accomplished easily with familiar syntax.  The resulting plots are publication quality, and can be produced in a vector format like svg to preserve quality.  Matplotlib even has functionality to typeset plot labels in LaTeX.