Question
In: Statistics and Probability
A teacher is interested in the relationship between the time spent studying for an exam and...
A teacher is interested in the relationship between the time spent studying for an exam and exam score. The table lists scores for 5 students. The value of b0 = 67.91 and the value of b1 = 0.75 Hours studied 5 18 3 15 17 Exam score 63 87 79 72 82 . Step 4 of 6 : Calculate the Coefficient of Determination (R2). Round answer to four decimal places.
Solutions
Expert Solution
We have to find the coefficient of determination R^2.
The regression equation is 
= b0 +
b1*x
That is = 67.91 +
0.75*x
We have to find SSR.
= 76.6
| x | y | yhat | (yhat-ybar) | (yhat-ybar)^2 |
| 5 | 63 | 71.66 | -4.94 | 24.4036 |
| 18 | 87 | 81.41 | 4.81 | 23.1361 |
| 3 | 79 | 70.16 | -6.44 | 41.4736 |
| 15 | 72 | 79.16 | 2.56 | 6.5536 |
| 17 | 82 | 80.66 | 4.06 | 16.4836 |
| Total | 112.05 |
| x | y | (y-ybar) | (y-ybar)^2 |
| 5 | 63 | -13.6 | 184.96 |
| 18 | 87 | 10.4 | 108.16 |
| 3 | 79 | 2.4 | 5.76 |
| 15 | 72 | -4.6 | 21.16 |
| 17 | 82 | 5.4 | 29.16 |
| Total | 349.2 |
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