Consider the following data set with n = 6 observations and p = 3 variables. The data set is given next V1 V2 V3 A 1.9 1.9 2.8 2.8 2.3 B 3.2 3.2 4.1 2.8 C 4.2 4.2 0.9 0.9 2.1 D 0.8 1.3 2.8 E 2.7 2.7 3.3 3.3 2.7 F 2 1 4.2 as well as the distance matrix using the "Manhattan" metric. The symbol x in the matrix below is to be calculated later. B C D E F A A 0 3.1 x 3.1 1.7 3.8 B 3.1 0 4.9 5.2 1.4 5.7 C x 4.9 0 4.5 4.5 4.4 D 3.1 5.2 4.5 0 4 2.9 E 1.7 1.7 1.4 4.5 4 0 4.5 F 3.8 5.7 4.4 2.9 4.5 0 A) In the distance matrix there is a missing distance x. Compute its value and write it. B) Consider two arbitrary clusters ABF and CDE. Compute and write the dissimilarity between these clusters under "average" linkage.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 5E
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Consider the following data set with n
=
6 observations and p = 3 variables. The data set is given next
V1 V2 V3
A
1.9
1.9
2.8
2.8 2.3
B
3.2
3.2
4.1 2.8
C
4.2
4.2
0.9
0.9 2.1
D
0.8
1.3 2.8
E
2.7
2.7
3.3
3.3 2.7
F
2 1
4.2
as well as the distance matrix using the "Manhattan" metric. The symbol x in the matrix below is to be calculated later.
B C D E F
A
A 0 3.1 x 3.1 1.7 3.8
B 3.1
0
4.9 5.2 1.4 5.7
C x
4.9
0 4.5 4.5
4.4
D 3.1
5.2
4.5
0
4
2.9
E
1.7
1.7 1.4
4.5 4
0
4.5
F
3.8 5.7 4.4 2.9 4.5
0
A) In the distance matrix there is a missing distance x. Compute its value and write it.
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 A 1.9 1.9 2.8 2.8 2.3 B 3.2 3.2 4.1 2.8 C 4.2 4.2 0.9 0.9 2.1 D 0.8 1.3 2.8 E 2.7 2.7 3.3 3.3 2.7 F 2 1 4.2 as well as the distance matrix using the "Manhattan" metric. The symbol x in the matrix below is to be calculated later. B C D E F A A 0 3.1 x 3.1 1.7 3.8 B 3.1 0 4.9 5.2 1.4 5.7 C x 4.9 0 4.5 4.5 4.4 D 3.1 5.2 4.5 0 4 2.9 E 1.7 1.7 1.4 4.5 4 0 4.5 F 3.8 5.7 4.4 2.9 4.5 0 A) In the distance matrix there is a missing distance x. Compute its value and write it.
B) Consider two arbitrary clusters ABF and CDE. Compute and write the dissimilarity between these clusters under "average" linkage.
Transcribed Image Text:B) Consider two arbitrary clusters ABF and CDE. Compute and write the dissimilarity between these clusters under "average" linkage.
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