The following data gives the number of hours 7 students spent studying and their corresponding grades on their midterm exams.
Hours Spent Studying | 0.5 | 1 | 1.5 | 2.5 | 3.5 | 4 | 4.5 |
---|---|---|---|---|---|---|---|
Midterm Grades | 69 | 72 | 75 | 81 | 84 | 90 | 96 |
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Step 1 of 3 :
Calculate the correlation coefficient, r. Round your answer to six decimal places.
Hours Spent Studying (x) | Midterm Grades (y) | x2 | y2 | xy |
0.5 | 69 | 0.25 | 4761 | 34.5 |
1 | 72 | 1 | 5184 | 72 |
1.5 | 75 | 2.25 | 5625 | 112.5 |
2.5 | 81 | 6.25 | 6561 | 202.5 |
3.5 | 84 | 12.25 | 7056 | 294 |
4 | 90 | 16 | 8100 | 360 |
4.5 | 96 | 20.25 | 9216 | 432 |
17.5 | 567 | 58.25 | 46503 | 1507.5 |
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