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)diameterheightvolume188051.58.37010.311.27519.913.38627.412.98533.811.76921.320.6877711.47621.417.98058.313.77125.7167238.310.78118.810.88319.716.37742.6127519.113.86424.910.57216.417.38155.4117518.211.476218.86310.214.28031.7 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.

Solution: Given information: Response variable : Volume Independent or predictor variables:…

Answered: Timber yield is approximately equal to…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter10: Measurement, Area, And Volume

Section10.8: Volumes Of Pyramids And Cones

Problem 16E

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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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