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. Height Diameter at breast height Bark thickness 134 24 1.2 213 30 3.1 183 22 2.2 90 12 1.3 147 28 2.2 110 33 1.5 190 56 2 89 12 1.2 165 29 2.8 124 13 1.7 92 14 1.5 180 56 2.5 224 47 2.2 191 33 2.8 175 20 3.3 253 46 2.9 246 50 4.7 237 57 4.4 253 43 2.4 210 37 3.9 233 10 1.5 122 22 1.1 194 27 2.8 167 20 2 82 11 1.2 134 25 2 100 30 1.4 173 51 1.8 81 11 1.1 150 26 2.5 113 12 1.5 84 13 1.4 164 51 2.3 203 43 2 174 30 2.5 159 18 3 230 42 2.6 224 45 4.3 215 52 4 230 39 2.2 1) Determine the coefficient of determination or R-Square (R2) and what does the result of R-Square imply. 2) By referring to the P-Value of the independent variables, determine whether the diameter and bark thickness of Yellow Meranti are significant in explaining its heights
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.
|
Height |
Diameter at breast height |
Bark thickness |
|
134 |
24 |
1.2 |
|
213 |
30 |
3.1 |
|
183 |
22 |
2.2 |
|
90 |
12 |
1.3 |
|
147 |
28 |
2.2 |
|
110 |
33 |
1.5 |
|
190 |
56 |
2 |
|
89 |
12 |
1.2 |
|
165 |
29 |
2.8 |
|
124 |
13 |
1.7 |
|
92 |
14 |
1.5 |
|
180 |
56 |
2.5 |
|
224 |
47 |
2.2 |
|
191 |
33 |
2.8 |
|
175 |
20 |
3.3 |
|
253 |
46 |
2.9 |
|
246 |
50 |
4.7 |
|
237 |
57 |
4.4 |
|
253 |
43 |
2.4 |
|
210 |
37 |
3.9 |
|
233 |
10 |
1.5 |
|
122 |
22 |
1.1 |
|
194 |
27 |
2.8 |
|
167 |
20 |
2 |
|
82 |
11 |
1.2 |
|
134 |
25 |
2 |
|
100 |
30 |
1.4 |
|
173 |
51 |
1.8 |
|
81 |
11 |
1.1 |
|
150 |
26 |
2.5 |
|
113 |
12 |
1.5 |
|
84 |
13 |
1.4 |
|
164 |
51 |
2.3 |
|
203 |
43 |
2 |
|
174 |
30 |
2.5 |
|
159 |
18 |
3 |
|
230 |
42 |
2.6 |
|
224 |
45 |
4.3 |
|
215 |
52 |
4 |
|
230 |
39 |
2.2 |
1) Determine the coefficient of determination or R-Square (R2) and what does the result of R-Square imply.
2) By referring to the P-Value of the independent variables, determine whether the diameter and bark thickness of Yellow Meranti are significant in explaining its heights
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