Timber yield is approximately equal to the volume of a tree, however, this value is difficult to measure without first cutting the tree down. Instead, other variables, such as height and diameter, may be used to predict a tree's volume and yield. Below is data on diameter (inches), height (feet), and volume (cubic feet) diameter height volume 18 80 51.5 8.3 70 10.3 11.2 75 19.9 13.3 86 27.4 12.9 85 33.8 11.7 69 21.3 20.6 87 77 11.4 76 21.4 17.9 80 58.3 13.7 71 25.7 16 72 38.3 10.7 81 18.8 10.8 83 19.7 16.3 77 42.6 12 75 19.1 13.8 64 24.9 10.5 72 16.4 17.3 81 55.4 11 75 18.2 11.4 76 21 8.8 63 10.2 14.2 80 31.7     Develop a regression model to use diameter and height to predict volume.  Report the adjusted R-squared.  Blank 1. Fill in the blank, read surrounding text.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 20E: Weight Versus Height The following data show the height h, in inches, and weight w, in pounds, of an...
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Timber yield is approximately equal to the volume of a tree, however, this value is difficult to measure without first cutting the tree down. Instead, other variables, such as height and diameter, may be used to predict a tree's volume and yield.

Below is data on diameter (inches), height (feet), and volume (cubic feet)

diameter height volume
18 80 51.5
8.3 70 10.3
11.2 75 19.9
13.3 86 27.4
12.9 85 33.8
11.7 69 21.3
20.6 87 77
11.4 76 21.4
17.9 80 58.3
13.7 71 25.7
16 72 38.3
10.7 81 18.8
10.8 83 19.7
16.3 77 42.6
12 75 19.1
13.8 64 24.9
10.5 72 16.4
17.3 81 55.4
11 75 18.2
11.4 76 21
8.8 63 10.2
14.2 80 31.7

 

 

Develop a regression model to use diameter and height to predict volume.  Report the adjusted R-squared.  Blank 1. Fill in the blank, read surrounding text.

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