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. Based on the ordinary least square estimate, calculate the estimated slope (b1) and the intercept (b0) when:  the diameter of the tree at the breast height of a person (in inches) is the sole explanatory or independent variable.  the thickness of the bark of the tree (in inches) is the sole explanatory or independent variable.

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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.

Based on the ordinary least square estimate, calculate the estimated slope (b1) and the intercept (b0) when: 

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

 

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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