Synopsis Q1. A statistics instructor at a Sultan Qaboos University would like to examine the relationship between the number of optional homework problems students do during the semester and their course score. She randomly selects 10 students for study and asks them to keep track of the number of these problems completed during the course of the semester. Course Score (x) No. of Problem (y) 15.2 225 17.4 335 12.9 195 16.2 19.5 23.1 20.4 422 26.1 624 24.4 554 19.1 434 342 416 532 a. Calculate the coefficient of correlation between x and y and comment on the result. b. Calculate the coefficient of determination and interpret the result. c. Test the hypothesis at the 5% level of significance that there is no association between the Course Score and No. of Problem. d. If we apply Simple linear regression to the above data, will it give same results of correlation? e. How you can identify the difference between correlation and regression