solution

a.      
Suppose that every student in your class scores 10 points higher on the
final exam than on the midterm exam. What would the value of the correlation
coefficient between the two exam scores equal? Explain. (Hint: Draw a
scatterplot for some hypothetical data.)

b. Suppose that every student in
your class scores 10 points lower on the final exam than on the midterm exam.
What would the value of the correlation coefficient between the two exam scores
equal? Explain. (Hint: Draw a scatterplot for some hypothetical data.)

 c. Suppose that every student in
your class scores twice as many points on the final exam than on the midterm
exam. What would the value of the correlation coefficient between the two exam
scores equal? Explain. (Hint: Draw a scatterplot for some hypothetical data.)