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.   i. By referring to the p-value, determine whether the diameter and bark thickness of Yellow Meranti are significant in explaining its heights.  ii. Predict the height of the Yellow Meranti when the diameter of the tree at breast height of a person is 20 inches while the bark thickness is 4.4 inches.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter37: Customary And Metric Gage Blocks
Section: Chapter Questions
Problem 1A
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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.

 

i. By referring to the p-value, determine whether the diameter and bark thickness of Yellow Meranti are significant in explaining its heights. 


ii. Predict the height of the Yellow Meranti when the diameter of the tree at breast height of a person is 20 inches while the bark thickness is 4.4 inches.

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
Transcribed Image Text: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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