Management of Erudition, an online learning platform, is keen to motivate students to work hard. In order to quantify the degree of effort put in by each learner, the company has decided to collect data on the amount of time spent by students on their virtual learning environment and the grades obtained by them. The following data have been collected.
a. Develop a regression equation expressing grades as a function of the amount of time spent on the online learning platform.

b. What are the correlation coefficient and the coefficient of determination? Comment on your regression equation in light of these measures.
c. Suppose a prospective student could dedicate only 65 hours for this program. What grade can be expected from this student?

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Student Groups 1 2 3 4 5 6 7 8 9 Grades (%) 20 25 40 50 55 60 65 70 75 Time Spent (hours) 0 15 25 35 45 65 80 95 100