The SAT and ACT exams are often used to predict a student's first-term college grade point average (GPA). Different formulas are used for different colleges and majors. Suppose that a student is applying to a university with an intended major in civil engineering. Also suppose that for this college and this major, the following model is used to predict first term GPA. GPA  =  a + b(ACT) a  =  0.6 b  =  0.2 (a) In this context, what would be the appropriate interpretation of the value of a?   The value of a is the predicted ACT score of a student who has a 0 GPA.   There is not enough information to know how to interpret the value of a.   The value of a represents the change in predicted GPA associated with an increase of 1 in ACT score.   The value of a represents the change in predicted GPA associated with an decrease of 1 in ACT score.   The value of a is the predicted GPA of a student who scored a 0 on the ACT.   (b) In this context, what would be the appropriate interpretation of the value of b?   The value of b represents the change in predicted GPA associated with an decrease of 1 in ACT score.   The value of b is the predicted ACT score of a student who has a 0 GPA.       The value of b represents the change in predicted GPA associated with an increase of 1 in ACT score.   The value of b is the predicted GPA of a student who scored a 0 on the ACT.   There is not enough information to know how to interpret the value of b.

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The SAT and ACT exams are often used to predict a student's first-term college grade point average (GPA). Different formulas are used for different colleges and majors. Suppose that a student is applying to a university with an intended major in civil engineering. Also suppose that for this college and this major, the following model is used to predict first term GPA.
GPA  =  a + b(ACT)
a  =  0.6
b  =  0.2
(a) In this context, what would be the appropriate interpretation of the value of a?
 
The value of a is the predicted ACT score of a student who has a 0 GPA.
 
There is not enough information to know how to interpret the value of a.
 
The value of a represents the change in predicted GPA associated with an increase of 1 in ACT score.
 
The value of a represents the change in predicted GPA associated with an decrease of 1 in ACT score.
 
The value of a is the predicted GPA of a student who scored a 0 on the ACT.
 
(b) In this context, what would be the appropriate interpretation of the value of b?
 
The value of b represents the change in predicted GPA associated with an decrease of 1 in ACT score.
 
The value of b is the predicted ACT score of a student who has a 0 GPA.    
 
The value of b represents the change in predicted GPA associated with an increase of 1 in ACT score.
 
The value of b is the predicted GPA of a student who scored a 0 on the ACT.
 
There is not enough information to know how to interpret the value of b.
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