Measuring the height of a California redwood tree is very difficult because these trees grow to heights of over 300 feet. People familiar with these trees understand that the height of a California redwood tree is related to other characteristics of the tree, including the diameter of the tree at the breast height of a person. The data in the table represent the height (in feet) and diameter (in inches) at the breast height of a person for a sample of 21 California redwood trees.Interpret the meaning of the coefficient of determination in this problem.Perform a residual analysis on the results and determine the adequacy of the model.Determine whether there is a significant relationship between the height of redwood trees and the breast height diameter at the 0.05 level of significance.HeightDiameter at breast heightBark thickness122.0201.1193.5362.8166.5182.082.0101.2133.5212.0156.0291.4172.5511.881.0111.1148.0262.5113.0121.584.0131.4164.0402.3203.3522.0174.0302.5159.0223.0205.0422.6223.5454.3195.0544.0232.5392.2190.5363.5100.081.4

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Description: Measuring the height of a California redwood tree is very difficult because these trees grow to heights of over 300 feet. People familiar with these trees understand that the height of a California redwood tree is related to other characteristics of

1.Step-by-step procedure to obtain the coefficient of determinationusing Excel:In Excel sheet, enter…

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Measuring the height of a California redwood tree is very difficult because these trees grow to heights of over 300 feet. People familiar with these trees understand that the height of a California redwood tree is related to other characteristics of the tree, including the diameter of the tree at the breast height of a person. The data in the table represent the height (in feet) and diameter (in inches) at the breast height of a person for a sample of 21 California redwood trees.

Interpret the meaning of the coefficient of determination in this problem.
Perform a residual analysis on the results and determine the adequacy of the model.
Determine whether there is a significant relationship between the height of redwood trees and the breast height diameter at the 0.05 level of significance.

Height	Diameter at breast height	Bark thickness
122.0	20	1.1
193.5	36	2.8
166.5	18	2.0
82.0	10	1.2
133.5	21	2.0
156.0	29	1.4
172.5	51	1.8
81.0	11	1.1
148.0	26	2.5
113.0	12	1.5
84.0	13	1.4
164.0	40	2.3
203.3	52	2.0
174.0	30	2.5
159.0	22	3.0
205.0	42	2.6
223.5	45	4.3
195.0	54	4.0
232.5	39	2.2
190.5	36	3.5
100.0	8	1.4

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