Instruction 12.7
It is believed that average grade (based on a four-point scale) should have a positive linear relationship with university entrance exam scores. Given below is the Microsoft Excel output from regressing average grade on university entrance exam scores using a data set of eight randomly chosen students from a large university.

-Referring to Instruction 12.7,what is the predicted average value of average grade when university entrance exam score = 20?
A) 2.80
B) 2.61
C) 2.66
D) 3.12

Question

Instruction 12.7
It is believed that average grade (based on a four-point scale) should have a positive linear relationship with university entrance exam scores. Given below is the Microsoft Excel output from regressing average grade on university entrance exam scores using a data set of eight randomly chosen students from a large university.
 
-Referring to Instruction 12.7,what is the predicted average value of average grade when university entrance exam score = 20?
A) 2.80 
B) 2.61 
C) 2.66 
D) 3.12

Quizplus · Accepted Answer

Based on the regression output, the equation for the linear relationship between average grade and university entrance exam score is: 
average grade = 2.13 + 0.087*university entrance exam score 
Substituting 20 for university entrance exam score, we get: 
average grade = 2.13 + 0.087*20 = 2.61
Therefore, the predicted average value of average grade when university entrance exam score = 20 is 2.61. Therefore, the best choice is B.

Instruction 12.7 It Is Believed That Average Grade (Based on a Four-Point