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

1. If used alone in a simple regression, which predictor by itself would be the best predictor of graduation rate? Is this predictor a significant predictor of graduation
   rate when used alone in a simple regression model? Report PRE and F as well as the
   critical values.
2. Now consider a model to predict graduation rate by using SAT score and acceptance
   rate together.
   1. Write the two models to determine if SAT score and acceptance rate
      together significantly predict graduation rates.
   2. Is model A significantly better than model C? In one or two sentences
      state your conclusion.
   3. 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.
   4. State and interpret the confidence interval for the coefficient of SAT score
      in model A.
   5. 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?
3. Is the acceptance rate a significant predictor of graduation rate controlling for SAT
   scores and the percentage of PhD faculty? What is the partial correlation of
   acceptance rate with graduation rate controlling for SAT and PhD percentage?
   Interpret the square of this correlation.
4. Conduct a multiple regression using all four of the predictors. Interpret the results.
5. A college wants to know if their own factors (expenditure and percentage of Ph D

faculty) significantly add to the prediction of graduation rate after the acceptance

parameters of acceptance rate and SAT are accounted for. Write the model

comparison for this test and perform the applicable analyses. In a few sentences

interpret the results.

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Solution: The downloadable solution consists of 9 pages, 688 words.
Deliverable: Word Document