A random sample of second year business students at a small Canadian university were polled by a researcher attempting to establish a relationship between hours of study in the week immediately preceding a major exam and the marks received on the exam. The data follows: Student 1 2 3 4 5 6 7 8 9 10 25 12 18 26 19 20 23 15 22 8e Hourse Exam (%)e 93 57 55 90 82 95 95 80 85 61 a. [5] Is there a relationship between time spent studying and exam grades? In order to answer this question you will need to calculate the correlation between the hours spent studying and marks obtained on the exam. What is the correlation between study time and exam grades? If there is a relationship, describe it in your own words. Do this by hand and show your work. You may of course use software to check your work. b. [5] Find the equation of the regression line for predicting exam scores from time spent studying. Do this by hand and show your calculations. c.[2] Calculate the coefficient of determination (by hand). Interpret your result. d. [2] Is the sign of the slope logical? If the slope had the opposite sign, what would that tell you? e. [2] What mark do you predict Aria will get on the exam if she spends 25 hours studying?