Tuition 2008. All 50 states offer public higher education through four-year colleges and universities and two- year colleges (often called community colleges). Tuition charges by different states vary widely for both types. Would you expect to find a relationship between the tuition states charge for the two types?
a) Using the data on the CD, make a scatterplot of the average tuition for four-year colleges against the tuition charged for two-year colleges. Describe the relationship.
b) Is the direction of the relationship what you expected?
c) What is the regression equation for predicting the tuition at a four-year college from the tuition at a two-year college in the same state?
d) Is a linear model appropriate?
e) How much more do states charge on average in yearly tuition for four-year colleges compared to two-year colleges according to this model?
f) What is the R2 value for this model? Explain what it says.