The diameter of an oak tree trunk (y) depends on its age (x), height (x) and diameter of its crown (x3). The results of measurements are as follows: Trunk diameter, cm Age, years Height, m Crown diameter, m 6.3 9.8 1.1 7.7 10.2 3.1 9.8 12.7 1.6 12.4 13.9 2.1 14.8 15.2 4.6 3.7 5.6 6.3 4.0 17.5 18.2 18.9 22.7 21 37 35 36 42 46 44 41 45 15.3 16.8 16.5 16.9 Fit a multiple linear regression model using age, height and crown diameter as the regressors. What is the coefficient of x1 ? Round your final answer to three decimal places (e.g. 98.765).

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 44SE: At the start of a trip, the odometer on a car read 21,395. At the end of the trip, 13.5 hours later,...
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What is the coefficient of x3?
The diameter of an oak tree trunk (y) depends on its age (x₂), height (x) and diameter of its crown (x3). The results of measurements are as follows:
Trunk diameter, cm Age, years Height, m Crown diameter, m
6.3
21
9.8
1.1
7.7
37
10.2
3.1
9.8
35
12.7
1.6
12.4
36
13.9
14.8
15.2
17.5
18.2
18.9
22.7
42
46
44
41
45
15.3
16.8
16.5
16.9
2.1
4.6
3.7
5.6
6.3
4.0
Fit a multiple linear regression model using age, height and crown diameter as the regressors.
What is the coefficient of x1 ?
Round your final answer to three decimal places (e.g. 98.765).
Transcribed Image Text:The diameter of an oak tree trunk (y) depends on its age (x₂), height (x) and diameter of its crown (x3). The results of measurements are as follows: Trunk diameter, cm Age, years Height, m Crown diameter, m 6.3 21 9.8 1.1 7.7 37 10.2 3.1 9.8 35 12.7 1.6 12.4 36 13.9 14.8 15.2 17.5 18.2 18.9 22.7 42 46 44 41 45 15.3 16.8 16.5 16.9 2.1 4.6 3.7 5.6 6.3 4.0 Fit a multiple linear regression model using age, height and crown diameter as the regressors. What is the coefficient of x1 ? Round your final answer to three decimal places (e.g. 98.765).
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