There is a nice site which will allow you to generate your own data sets regarding the position of the sun at any time of the day and at any location on the earth. Try it, you'll like it. Scientists use computer models to predict where hurricanes are going to strike.
Physicists use models also as well as astronomers.
If scientists use computer generated data and models to engage in scientific inquiry, then students should also in the classroom. The nature of science includes looking for patterns and relationships. This can be done with investigating mathematical models of phenomena being studied.