Question
The following data gives the number of hours 7 students spent studying and their corresponding grades...
The following data gives the number of hours 7 students spent studying and their corresponding grades on their exams.
| Hours Spent Studying | 0.5 | 1 | 1.5 | 2 | 3 | 4.5 | 5.5 |
|---|---|---|---|---|---|---|---|
| Grades | 66 | 72 | 81 | 84 | 90 | 96 | 99 |
Copy Data
Step 3 of 3 :
Calculate the coefficient of determination, r2r2. Round your answer to three decimal places.
Answer
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Homework Answers
Answer #1
Solution :
| X | Y | XY | X^2 | Y^2 |
| 0.5 | 66 | 33 | 0.25 | 4356 |
| 1 | 72 | 72 | 1 | 5184 |
| 1.5 | 81 | 121.5 | 2.25 | 6561 |
| 2 | 84 | 168 | 4 | 7056 |
| 3 | 90 | 270 | 9 | 8100 |
| 4.5 | 96 | 432 | 20.25 | 9216 |
| 5.5 | 99 | 544.5 | 30.25 | 9801 |
| n | 7 |
| sum(XY) | 1641.00 |
| sum(X) | 18.00 |
| sum(Y) | 588.00 |
| sum(X^2) | 67.00 |
| sum(Y^2) | 50274.00 |
| Numerator | 903.00 |
| Denominator | 946.17 |
| r | 0.9544 |
| r square | 0.9108 |
| Xbar(mean) | 2.5714 |
| Ybar(mean) | 84.0000 |
| SD(X) | 1.3359 |
| SD(Y) | 10.1612 |
| b | 6.2276 |
| a | 67.9862 |
r 2 = 0.911
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