Tuition 2008, part 2. Exercise 51 examined the relation- ship between the tuition charged by states for four-year colleges and universities compared to the tuition for two- year colleges. Now, examine the relationship between private and public four-year colleges and universities in the states.

a) Would you expect the relationship between tuition ($ per year) charged by private and public four-year colleges and universities to be as strong as the relationship between public four-year and two-year institutions?

b) Using the data on the CD, examine a scatterplot of the average tuition for four-year private institutions against the tuition charged for four-year public institutions. Describe the relationship.

c) What is the regression equation for predicting the tu- ition at a four-year private institution from the tuition at a four-year public institution in the same state?

d) Is a linear model appropriate?

e) Interpret the regression equation. How much more is the tuition for four-year private institutions compared to four-year public institutions in the same state according to this model?

f) What is the R2 value for this model? Explain what it says.