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(Solution Library) Loggers like to use readily available measurements to establish the number of board feet of lumber in a tree. (A board foot of lumber is

Question: Loggers like to use readily available measurements to establish the number of board feet of lumber in a tree. (A board foot of lumber is of a cubic foot, equivalent to a board 12 in. wide, 12 in. long, and 1 in. deep.) Assume the loggers measure tree diameters in inches at (their) waist height.

Develop a model that predicts board feet as a function of diameter in inches. Use the following data for your test:

x 17 19 20 23 25 28 32 38 39 41
y 19 25 32 57 71 113 123 252 259 294

The variable x is the diameter of a ponderosa pine in inches and y is the number of board feet divided by 10.

  1. Consider two separate assumptions, allowing each to lead to a model. Completely analyze each model.

Assumption 1 : All trees are right circular cylinders and all trees are about the same height.

Assumption 2 : All trees are right circular cylinders and the height of a tree is proportional to the diameter.

Price: $2.99
Solution: The downloadable solution consists of 5 pages
Deliverable: Word Document


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