Measuring the height of a Yellow Meranti is very difficult because these trees grow to heightsover 300 feet. In 2016, a group of Yellow Meranti in Sabah’s Danum Valley was announced as the tallest tropical trees in the world. People familiar with these trees understand that the height of a Yellow Meranti is related to other characteristics of the tree, including the diameter of the tree at the breast height of a person (in inches) and the thickness of the bark of the tree (in inches). The file YellowMeranti contains the height, diameter at breast height of a person, and bark thickness for a sample of 40 Yellow Meranti trees. a. State the single linear regression models where the height of Yellow Meranti is treated as the response or dependent variable while: i. the diameter of the tree at the breast height of a person (in inches) is the sole explanatory or independent variable. ii. the thickness of the bark of the tree (in inches) is the sole explanatory or independent variable. b. Based on the ordinary least square estimate, calculate the estimated slope (?1) and the intercept (?0) when: i. the diameter of the tree at the breast height of a person (in inches) is the sole explanatory or independent variable. ii. the thickness of the bark of the tree (in inches) is the sole explanatory or independent variable.

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 Yellow Meranti is very difficult because these trees grow to heightsover 300 feet. In 2016, a group of Yellow Meranti in Sabah’s Danum Valley was announced as the tallest tropical trees in the world. People familiar with these trees understand that the height of a Yellow Meranti is related to other characteristics of the tree, including the diameter of the tree at the breast height of a person (in inches) and the thickness of the bark of the tree (in inches). The file YellowMeranti contains the height, diameter at breast height of a person, and bark thickness for a sample of 40 Yellow Meranti trees.

a. State the single linear regression models where the height of Yellow Meranti is treated
as the response or dependent variable while:

i. the diameter of the tree at the breast height of a person (in inches) is the sole explanatory or independent variable.
ii. the thickness of the bark of the tree (in inches) is the sole explanatory or independent variable.

b. Based on the ordinary least square estimate, calculate the estimated slope (?1) and the intercept (?0) when:

i. the diameter of the tree at the breast height of a person (in inches) is the sole explanatory or independent variable.
ii. the thickness of the bark of the tree (in inches) is the sole explanatory or independent variable.

Height
Diameter at breast height
Bark thickness
161
29
2
256
36
4
220
27
3
108
15
2
177
34
132
40
228
68
107
15
198
35
4
149
16
3
111
17
216
68
269
57
230
40
4
210
24
4
300
56
4
296
60
285
69
6
304
52
3
252
45
5
280
12
2
147
27
233
33
4
201
24
3
99
14
2
161
30
120
208
98
36
62
3
14
180
32
3
136
15
2
101
16
197
62
244
52
3
209
191
276
36
3
22
4
51
4
269
54
258
63
276
47
3

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