10-16: Trying to determine the number of students to accept is a tricky task for universities. The Admissions staff at a small private college wants to use data from the past few years to predict the number of students enrolling in the university from those who are accepted by the university.The data are provided in the following table.

Number Accepted Number Enrolled

2,440 611

2,800 708

2,720 637

2,360 584

2,660 614

2,620 625

10. What is the explanatory (X) variable?_____________________________________________

11. What is the response (Y) variable?_____________________________________________

12. Find the correlation between the number of students accepted and enrolled. Use twodecimal places in your answer._____________________________________________

13. Find the least squares regression line for predicting the number enrolled from the numberaccepted._____________________________________________ 14. Interpret the slope in context._____________________________________________

15. Interpret the intercept of the line in context. Does the interpretation make sense?__________________________________________________________________________________________

16. Suppose Admissions has announced that 2,575 students have been accepted this year.Use your regression equation to predict the number of students that will enroll.________________________________________________________________________________