The data in this spreadsheet represents preferences for universities. Preference may be a function of whether the school is instate or out of state, the cost, and whether the school has a greater reputation for football, basketball, or academics. The rank shown reflects rank of $1$ being the most preferred school. Determine the following:

Which of the three factors is most important to students when making a university decision?

How much more can a school charge for tuition if they have a good basketball team instead of a good football team if the tuition is currently $$15000?$

For consistency, when building your analysis, use "Out of state", $$45000,$ and Football as your base dummy variables.