In a large statistics class, students have taken two exams. For each of the following situations, report what you would expect for the value of the correlation coefficient between exam 1 score and exam 2 score. Give a brief justification for your answer.
1. Every student scores ten points lower on exam 2 than on exam 1.
2. Every student scores twice as many points on exam 2 than on exam 1.
3. Every student scores half as many points on exam 2 than on exam 1.
4. Every student guesses randomly on every question on both exams.
5. Every student scores 100 points for his/her combined score on the two exams.
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