Compute the fitted value and the residual for each point

Reference no: EM131008713

1. Fora sample of 12 trees, the volume of lumber (in m3 ) and the diameter (in cm) at a fixed height above ground level was measured. The results were as follows.

Diameter	Volume	Diameter	Volume
35.1	0.81	33.8	0.80
48.4	1.39	45.3	1.69
47.9	1.31	25.2	0.30
35.3	0.67	28.5	0.19
47.3	1.46	30.1	0.63
26.4	0.47	30.0	0.64

a. Construct a scatterplot of volume (y) versus diameter (x).

b. Compute the least-squares line for predicting volume from diameter.

c. Compute the fitted value and the residual for each point.

d. If two trees differ in diameter by 8 cm, by how much would you predict their volumes to differ?

e. Predict the volume for a tree whose diameter is 44 cm.

f. For what diameter would you predict a volume of 1 m3 ?

Reference no: EM131008713

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