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For a sample of 12 trees, the volume of lumber (in m3) and the diameter (...

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Question

Statistics

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

DiameterVolumes
35.10.81
48.41.39
47.91.31
35.30.67
47.31.46
26.40.47
33.80.8
45.31.69
25.20.3
28.50.19
30.10.63
300.64

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

Answer & Explanation Solved by verified expert
3.8 Ratings (741 Votes)
InterpretationThe scatter plot illustrates thatthere exists a    See Answer
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