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 regression equation that shows the relationship with the height of Yellow Meranti is treated as the dependent variable.  Determine the multiple regression estimation based on Least Squares Method based on the regression model stated in (a)

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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 regression equation that shows the relationship with the height of Yellow Meranti is treated as the dependent variable. 
  2. Determine the multiple regression estimation based on Least Squares Method based on the regression model stated in (a)
Height ameter at breast heițark 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
Transcribed Image Text:Height ameter at breast heițark 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
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