What determines the amount of college tuition students at different schools must pay? A random sample of n American colleges and universities is selected. The values of several variables are recorded: average annual tuition (y), percentage of students in the top 25% of their high school graduating class (x₁), student-to-faculty ratio (x₂), average faculty compensation (x₃), acceptance rate (x₄), and percentage of faculty with a Ph.D. (x₅). Some example observations are listed below.

ID	X1	X2	X3	X4	X5
1	23	19.1	55000	0.75	89
2	50	15.3	68000	0.60	77
3	28	22.7	72000	0.35	92

For students with a% in the top 25% of their high school graduating class and b% of faculty with a Ph.D., the 'a' and 'b' values were applied for building this linear regression model. As a result, the regression equation is as follows:

1. If the % of students who graduated in the top 25% in high school is 35, the studentfaculty ratio at this university is 19.1, and faculty compensation is $56,000. There is a 0.821 acceptance rate, and 88% of faculty have a Ph.D. What is the predicted average annual tuition?
2. If we sampled 18 American universities, how many degrees of freedom associated with error will be in the ANOVA table?