Question: The data set contains the variables defined below. Use SPSS (or otherwise) to answer the items which follow.

Y The graduation rate of the fifty colleges

x1 The combined average SAT scores of students accepted at the college

x2 Out of the number of applicants to the school, the percentage accepted

x3 The amount of money a college spends per student

x4 The percentage of faculty members at the college holding a Ph D degree

Now consider a model to predict graduation rate by using SAT score and acceptance

rate together.

a. Write the two models to determine if SAT score and acceptance rate

together significantly predict graduation rates.

b. Is model A significantly better than model C? In one or two sentences

state your conclusion.

c. What is the predicted graduation rate for a college accepting 35 percent of

their applicants and of these accepted applicants the average SAT score is

1250.

d. State and interpret the confidence interval for the coefficient of SAT score

in model A.

e. A school determines that they can not change the percentage of students

they accept. They decide instead to raise the average SAT scores of

students they accept by 100 points. What would you expect to happen to

the school’s graduation rate based on model A?