105. Green Mountain College is a 5,000 student state-supported, four-year institution located
in the mid-South. Physical facilities can accommodate another 1,000 students, and the college
administration is attempting to estimate the added yearly cost of educating the additional
students. The Business Manager of Green Mountain College has asked you to evaluate two linear
regressions given below, and recommend the better one to her.
Regression 1 Regression 2
SC = 4,303 + 143.50 CH SC = 3,800 + 441.25 IS
Coefficient of determination, 0.594 Coefficient of determination, 0.707
Standard error of the estimate, 117 Standard error of estimate, 133
(average cost is $6,025) (average cost is $6,025)
Where: SC = Student cost
CH = Cost per credit hour
IS = Incremental cost per student
Required:
(1) Explain your choice of cost function (regression 1 or regression 2) for predicting added
student educational costs per year.
(2) What information value does the standard error of estimate (SE) have in this situation?