1. The diameter of a tree at its breast height is influenced by many factors. The data in the table below relate the diameter of a particular type of eucalyptus tree to its age, average rainfall at its site, site's elevation, and the wood's mean specific gravity. (The data come from R. G. Skolmen, 1975, “Shrinkage and Specific Gravity Variation in Robusta Eucalyptus Wood Grown in Hawaii." USDA Forest Service PSW-298.) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Age (years) 44 33 33 32 34 31 33 30 34 34 33 36 33 34 37 Elevation (1,000 ft) 1.3 2.2 2.2 2.6 2.0 1.8 2.2 3.6 1.6 1.5 2.2 1.7 2.2 1.3 2.6 Rainfall (inches) 250 115 75 85 100 75 85 75 225 250 255 175 75 85 90 Specific Gravity .63 .59 .56 .55 .54 .59 56 .46 .63 .60 .63 58 55 .57 .62 Diameter at Breast Height (inches) 18.1 19.6 16.6 16.4 16.9 17.0 20.0 16.6 16.2 18.5 18.7 19.4 17.6 18.3 18.8

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APPLIED STATISTICS (MULTIPLE REGRESSION)

UPVOTE WILL BE GIVEN. PLEASE ANSWER THE PROBLEM BY USING SPSS OR EXCEL ONLY (NOT HANDWRITTEN). NO LONG EXPLANATION NEEDED. TAKE A SCREENSHOTS AND ANSWER THE QUESTION IN SENTENCES.

a. Identify the dependent/s and independent variable then estimate the multiple regression equation.

b. What is the r-squared value and what is its implication?

c. What variable/s are considered significant? What is the p-value?

 

1. The diameter of a tree at its breast height is influenced by many factors. The data in the
table below relate the diameter of a particular type of eucalyptus tree to its age, average
rainfall at its site, site's elevation, and the wood's mean specific gravity. (The data come
from R. G. Skolmen, 1975, "Shrinkage and Specific Gravity Variation in Robusta
Eucalyptus Wood Grown in Hawaii." USDA Forest Service PSW-298.)
1
2
3
4
5
6
7
8
9
DHDBHD
10
11
12
13
14
15
Age
(years)
44
33
33
32
34
31
33
30
34
34
33
36
33
34
37
Elevation
(1,000 ft)
1.3
2.2
2.2
2.6
2.0
1.8
2.2
3.6
1.6
1.5
2.2
1.7
2.2
1.3
2.6
Rainfall
(inches)
250
115
75
85
100
75
85
75
225
250
255
175
75
85
90
Specific
Gravity
.63
.59
.56
.55
.54
.59
.56
.46
.63
.60
.63
.58
.55
.57
.62
Diameter
at Breast Height
(inches)
18.1
19.6
16.6
16.4
16.9
17.0
20.0
16.6
16.2
18.5
18.7
19.4
17.6
18.3
18.8
Transcribed Image Text:1. The diameter of a tree at its breast height is influenced by many factors. The data in the table below relate the diameter of a particular type of eucalyptus tree to its age, average rainfall at its site, site's elevation, and the wood's mean specific gravity. (The data come from R. G. Skolmen, 1975, "Shrinkage and Specific Gravity Variation in Robusta Eucalyptus Wood Grown in Hawaii." USDA Forest Service PSW-298.) 1 2 3 4 5 6 7 8 9 DHDBHD 10 11 12 13 14 15 Age (years) 44 33 33 32 34 31 33 30 34 34 33 36 33 34 37 Elevation (1,000 ft) 1.3 2.2 2.2 2.6 2.0 1.8 2.2 3.6 1.6 1.5 2.2 1.7 2.2 1.3 2.6 Rainfall (inches) 250 115 75 85 100 75 85 75 225 250 255 175 75 85 90 Specific Gravity .63 .59 .56 .55 .54 .59 .56 .46 .63 .60 .63 .58 .55 .57 .62 Diameter at Breast Height (inches) 18.1 19.6 16.6 16.4 16.9 17.0 20.0 16.6 16.2 18.5 18.7 19.4 17.6 18.3 18.8
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