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).

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman