Callaway College is a small business school that offers an MBA program. The main entrance criterion for admission to the MBA program is the Common Business Admission Test (CBAT) score. The following table provides the GPAs of 12 students who have graduated recently, along with their CBAT scores and ages:

(a) Develop a simple regression model to predict the GPA of a student based on his or her CBAT score.
(b) Identify and interpret the R2 value.
(c) A new graduate student has a CBAT score of 630. Construct a 90% confidence interval for this student€™s predicted GPA.

GPA 3.70 3.00 3.25 4.00 3.52 2.83 3.80 4.00 3.65 3.47 3.33 3.75 SIUDENT 690 610 480 740 580 460 570 620 750 510 550 700 AGE 34 29 24 39 30 27 35 42 24 30 27 28 4 10 12