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.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
|
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 |
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.
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