(See Solution) The data below shows the diameter of pine trees (in feet, x) measured from four feet above the ground and the usable volume (in cubic feet, y) for
Question: The data below shows the diameter of pine trees (in feet, x) measured from four feet above the ground and the usable volume (in cubic feet, y) for making pulp used in paper production. Assume that the relationship between X and Y is linear.
| Diameter | Usable volume |
| 3 | 1.92 |
| 2.33 | 1.13 |
| 2.33 | 0.88 |
| 3.42 | 2.94 |
| 1.58 | 0.28 |
| 2.67 | 1.23 |
| 1.83 | 0.51 |
| 3.17 | 2.52 |
| 2.08 | 0.56 |
| 1.42 | 0.16 |
| 2.58 | 1.41 |
| 1.67 | 0.32 |
| 2.08 | 0.86 |
| 1.58 | 0.21 |
| 3.25 | 2.31 |
| 2.75 | 1.87 |
| 1.42 | 0.22 |
| 3.08 | 2.05 |
| 1.92 | 0.58 |
| 3.25 | 2.65 |
- Obtain the quantities S xx , S xy , and S yy
- Obtain the least squares equation of the linear relationship between X and Y
- Obtain the correlation coefficient for X and Y
- Obtain SSE
(d) Obtain the coefficient of determination for the fitted linear relationship.
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