2.32 Chapman and Demeritt (Elements of Forest Mensuration, 2nd ed., Albany, NY, J.B. Lyon Company [now Williams Press], 1936) reported diameters (in inches) and ages (in years) of oak trees. The data are shown in table below.

a Make a scatterplot. Is there any association between the age of the oak tree and the diameter?
If yes, discuss the nature of the relation.
b Can the diameter of oak tree be useful for predicting the age of the tree? If yes, construct a model for the relationship. If no, discuss why not.
c If the diameter of one oak tree is 5.5 inches, what do you predict the age of this tree to be?

Transcribed Image Text:

Age Diameter Age Diameter Age Age Diameter 4 0.8 14 2.5 30 6.0 5 0.8 16 4.5 30 7.0 8 1.0 18 4.6 33 8.0 8 2.0 20 5.5 34 6.5 8 3.0 22 5.8 35 7.0 10 2.0 23 4.7 38 5.0 10 3.5 25 6.5 38 7.0 12 4.9 28 6.0 40 7.5 13 3.5 29 4.5 42 7.5