(a) Students enrolled in a Regression Analysis course had taken Test 1 and Test 2, which comprised of 50 marks each. The correlation between the scores on Test 1 and Test 2 was found to be 0.80.

(i) Without any further investigation, are you able to immediately interpret the correlation coefficient? Explain. (2 marks)

(ii) If 10 marks were added to the Test 2 scores for all students, how would this affect the correlation? Explain. (2 marks)

(iii) If the marks for each test were standardized, how would this affect the correlation? Explain. (2 marks)

(iv) In general, if someone did poorly on Test 1, are they likely to have done poorly on Test 2? Explain.