Centroid Centroid Centroid Centroid is (2.4667, 2.2333, 2.8167) Centroid is (2.35, 2.05, 2.75) is (1.4, 1.15, 3.5) is (2.6, 3.4, 2.6) is (4.2, 0.9, 2.1) Consider the following data set with n = 6 observations and p = 3 variables. The data set is given next V1 V2 V3 1.9 2.8 2.3 3.2 4.1 2.8 4.2 0.9 2.1 0.8 1.3 2.8 2.7 3.3 2.7 4.2 as well as the distance matrix using the "Manhattan" metric. The symbole in the matrix below is to be calculated later. A B с D E F A 0 3.1 X 3.1 1.7 3.8 B 3.1 0 4.9 5.2 1.4 5.7 C 4.9 0 4.5 4.5 4.4 x 3.1 5.2 4.5 D 0 4 2.9 E 1.7 1.4 4.5 4 0 4.5 F 3.8 5.7 4.4 2.9 4.5 0 ܐ ܗ A B с D E F 2 1
Centroid Centroid Centroid Centroid is (2.4667, 2.2333, 2.8167) Centroid is (2.35, 2.05, 2.75) is (1.4, 1.15, 3.5) is (2.6, 3.4, 2.6) is (4.2, 0.9, 2.1) Consider the following data set with n = 6 observations and p = 3 variables. The data set is given next V1 V2 V3 1.9 2.8 2.3 3.2 4.1 2.8 4.2 0.9 2.1 0.8 1.3 2.8 2.7 3.3 2.7 4.2 as well as the distance matrix using the "Manhattan" metric. The symbole in the matrix below is to be calculated later. A B с D E F A 0 3.1 X 3.1 1.7 3.8 B 3.1 0 4.9 5.2 1.4 5.7 C 4.9 0 4.5 4.5 4.4 x 3.1 5.2 4.5 D 0 4 2.9 E 1.7 1.4 4.5 4 0 4.5 F 3.8 5.7 4.4 2.9 4.5 0 ܐ ܗ A B с D E F 2 1
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C) Using the above data X, the R command KM<-kmeans(x=X,centers=3) was run, with the following output
> KM$cluster
[1] 2, 2, 3, 1, 2, 1
There is interest in determining the center of the cluster identified with the label 1. By computing this center manually or otherwise, identify which of the following is the correct centroid of this cluster:
Transcribed Image Text:Centroid
Centroid
Centroid
Centroid is (2.4667, 2.2333, 2.8167)
Centroid is (2.35, 2.05, 2.75)
is (1.4, 1.15, 3.5)
is (2.6, 3.4, 2.6)
is (4.2, 0.9, 2.1)
Transcribed Image Text:Consider the following data set with n = 6 observations and p = 3 variables. The data set is given next
V1
V2 V3
1.9
2.8 2.3
3.2 4.1 2.8
4.2 0.9 2.1
0.8 1.3 2.8
2.7 3.3 2.7
4.2
as well as the distance matrix using the "Manhattan" metric. The symbole in the matrix below is to be calculated later.
A B
с D E F
A
0
3.1
X 3.1 1.7 3.8
B 3.1
0
4.9 5.2 1.4 5.7
C
4.9 0 4.5 4.5 4.4
x
3.1 5.2 4.5
D
0 4 2.9
E
1.7
1.4 4.5
4
0 4.5
F 3.8 5.7 4.4 2.9 4.5
0
ܐ ܗ
A
B
с
D
E
F 2 1
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