Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student scored on the high school SAT math exam and their grade-point averages (CPAs) after students were in the Sante Fe program for 2 years.
|
Student
|
A
|
B
|
C
|
D
|
E
|
F
|
G
|
|
SAT Score
|
421
|
377
|
590
|
690
|
608
|
392
|
415
|
|
GPA
|
2.93
|
2.87
|
2.97
|
3.42
|
3.63
|
2.91
|
2.12
|
|
Student
|
H
|
I
|
J
|
K
|
L
|
M
|
|
|
SAT Score
|
484
|
729
|
496
|
613
|
712
|
370
|
|
|
GPA
|
2.53
|
3.22
|
1.99
|
2.77
|
3.90
|
1.62
|
|
a) The least-squares regression equation that shows the best relationship between GPA and the SAT score is (round your responses to four decimal places):
Y=
where y = GPA and x = SAT score.
b) For a student with an SAT score of 390, the expected GPA = (round your response to two decimal places).
c) For a student with an SAT score of 780, the expected GPA = (round your response to two decimal places).
The coefficient of determination for the least-squares regression model is (round your response to four decimal places).
The coefficient of determination shows that by using this model, about (1) of the variation is explained by the model.
(1) 0 112 0 113 0 213