For a sample of 12 trees, the volume of lumber (inm3) and the diameter ( in cm ) at a fixed height abovethe ground level was measured. The results were as follows.
Use Excel sheet
| Diameter | Volumes |
|---|
| 35.1 | 0.81 |
| 48.4 | 1.39 |
| 47.9 | 1.31 |
| 35.3 | 0.67 |
| 47.3 | 1.46 |
| 26.4 | 0.47 |
| 33.8 | 0.8 |
| 45.3 | 1.69 |
| 25.2 | 0.3 |
| 28.5 | 0.19 |
| 30.1 | 0.63 |
| 30 | 0.64 |
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a)Construct a scatterplot of volume ( y ) versus diameter ( x ).using Excel
b)Compute the least-square line for predicting volume fromdiameter.
c)Compute the fitted value and residual for each point. d)If twotrees differ in diameter by 8 cm, by how much would you predicttheir volume to differ?
e)Predict the volume of a tree whose diameter is 44 cm.
f)For what diameter would you predict a volume of1m3
