Measuring the height of a Yellow Meranti is very difficult because these trees grow to heights over 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. State the multiple linear regression model where the height of Yellow Meranti is treated as the dependent variable while the diameter and bark thickness of the tree are the explanatory variables.  Based on relevant statistical software, determine themultiplelinear regression equation for (c) and show the output of the software.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...
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Measuring the height of a Yellow Meranti is very difficult because these trees grow to heights over 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.

  1. State the multiple linear regression model where the height of Yellow Meranti is treated as the dependent variable while the diameter and bark thickness of the tree are the explanatory variables.
  2.  Based on relevant statistical software, determine themultiplelinear regression equation for (c) and show the output of the software. 
1 Height ameter at breast heiglark thicknes
24
1.2
3
30
3.1
4
22
2.2
5
12
1.3
6
28
2.2
7
33
1.5
8
56
12
1.2
10
29
2.8
11
13
1.7
12
14
1.5
56
2.5
47
2.2
15
33
2.8
16
20
3.3
17
46
2.9
50
4.7
57
4.4
43
2.4
37
3.9
22
10
1.5
23
22
1.1
24
27
2.8
25
20
2
26
11
1.2
27
25
2
28
30
1.4
29
51
1.8
30
11
1.1
26
2.5
12
1.5
13
1.4
34
51
2.3
35
43
2
36
30
2.5
37
18
3
38
42
2.6
39
45
4.3
40
52
4
41
39
2.2
42
2.
Transcribed Image Text:1 Height ameter at breast heiglark thicknes 24 1.2 3 30 3.1 4 22 2.2 5 12 1.3 6 28 2.2 7 33 1.5 8 56 12 1.2 10 29 2.8 11 13 1.7 12 14 1.5 56 2.5 47 2.2 15 33 2.8 16 20 3.3 17 46 2.9 50 4.7 57 4.4 43 2.4 37 3.9 22 10 1.5 23 22 1.1 24 27 2.8 25 20 2 26 11 1.2 27 25 2 28 30 1.4 29 51 1.8 30 11 1.1 26 2.5 12 1.5 13 1.4 34 51 2.3 35 43 2 36 30 2.5 37 18 3 38 42 2.6 39 45 4.3 40 52 4 41 39 2.2 42 2.
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ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,