The regulation of electric and gas utilities is an important public policy question affecting consumer's choice and cost of energy provider. To inform deliberation on public policy, data on eight numerical variables have been collected for a group of energy companies. To summarize the data, hierarchical clustering has been executed using Euclidean distance as the similarity measure and Ward's method as the clustering method. Based on the following dendrogram, what is the most appropriate number of clusters to organize these utility companies? 11.0 10.5- 10.0 9.5 9.0 8.5 8.0 7.5 7.0 6.5 6.0 Q 10 13 4 20 2 21 1 18 14 19 3 9 6 8 16 11 5 7 12 15 17 5.5 5.0 4.5 4.0 3.5 3.0 2.5 2.0 1.5- 1.0 0.5 0 Cluster is the most appropriate number of clusters to organize these utility companies.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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The regulation of electric and gas utilities is an important public policy question affecting consumer's choice and cost of energy provider. To inform deliberation on public policy, data on eight numerical variables have been collected for a group of energy companies. To summarize the data,
hierarchical clustering has been executed using Euclidean distance as the similarity measure and Ward's method as the clustering method. Based on the following dendrogram, what is the most appropriate number of clusters to organize these utility companies?
11.0,
10.5-
10.0
9.5
9.0
8.5
8.0
7.5
7.0-
6.5
6.0
5.5
5.0-
4.5
4.0
3.5
3.0
2.5
2.0
1.5
1.0-
0.5
10 13 4
20 2 21
1 18 14 19 3 9 6 8
16 11
5 7 12 15 17
Cluster
is the most appropriate number of clusters to organize these utility companies.
Transcribed Image Text:еВook The regulation of electric and gas utilities is an important public policy question affecting consumer's choice and cost of energy provider. To inform deliberation on public policy, data on eight numerical variables have been collected for a group of energy companies. To summarize the data, hierarchical clustering has been executed using Euclidean distance as the similarity measure and Ward's method as the clustering method. Based on the following dendrogram, what is the most appropriate number of clusters to organize these utility companies? 11.0, 10.5- 10.0 9.5 9.0 8.5 8.0 7.5 7.0- 6.5 6.0 5.5 5.0- 4.5 4.0 3.5 3.0 2.5 2.0 1.5 1.0- 0.5 10 13 4 20 2 21 1 18 14 19 3 9 6 8 16 11 5 7 12 15 17 Cluster is the most appropriate number of clusters to organize these utility companies.
Jay Gatstry categories wines into ane af three dusters. The cantroids of these chasters, describing the average characteristics of a mine in each dusiter, are listed in the following table.
Characteristic
Cluster 1
Cluster 2
Cluster 3
Alcohol
0.819
0.164
-0.937
MalicAcid
-0.329
0.869
-0.368
Ash
0. 186
0.523
0.248
-0.393
Alcalinity
Magnesium
0.677
0.249
0.643
-0.075
-0573
Phenols
0.425
0.977
-0.034
Flavanoids
0.69%
-1.212
0.063
Nonflavanoids
0.595
0.724
0.009
Proanthocyanins
Colorintensity
0.619
0.778
0.010
0.135
0.939
-0.881
Hue
0.497
-1.162
0.437
Dilution
0.744
-1.289
0.295
Proline
1.117
-0.406
-0.776
Jay has recently discovered a now wine from the Piadmont region of Italy with the following characteristics. In which duster of wines should he place this now wine? Justify your choice with appropriate calculations.
Characteristic
Alcohol
-1.023
MalicAcid
-0.480
Ash
0.049
Alcalinity
0.600
Magnesium
Phanols
-1.242
1.094
Flavanoids
0.001
Nonflavanoids
0.548
Proanthocyanins
Colorintensity
-0.229
-0.797
Hue
0.711
Dilution
-0.425
Proline
0.010
If required, round your ansmers to three decimal placs. Do not round intermediate cakulations.
Distance from new wine and Cluster 1:
Distance from new wine and Cluster 2:
Distance from new wine and Cluster 3:
Transcribed Image Text:Jay Gatstry categories wines into ane af three dusters. The cantroids of these chasters, describing the average characteristics of a mine in each dusiter, are listed in the following table. Characteristic Cluster 1 Cluster 2 Cluster 3 Alcohol 0.819 0.164 -0.937 MalicAcid -0.329 0.869 -0.368 Ash 0. 186 0.523 0.248 -0.393 Alcalinity Magnesium 0.677 0.249 0.643 -0.075 -0573 Phenols 0.425 0.977 -0.034 Flavanoids 0.69% -1.212 0.063 Nonflavanoids 0.595 0.724 0.009 Proanthocyanins Colorintensity 0.619 0.778 0.010 0.135 0.939 -0.881 Hue 0.497 -1.162 0.437 Dilution 0.744 -1.289 0.295 Proline 1.117 -0.406 -0.776 Jay has recently discovered a now wine from the Piadmont region of Italy with the following characteristics. In which duster of wines should he place this now wine? Justify your choice with appropriate calculations. Characteristic Alcohol -1.023 MalicAcid -0.480 Ash 0.049 Alcalinity 0.600 Magnesium Phanols -1.242 1.094 Flavanoids 0.001 Nonflavanoids 0.548 Proanthocyanins Colorintensity -0.229 -0.797 Hue 0.711 Dilution -0.425 Proline 0.010 If required, round your ansmers to three decimal placs. Do not round intermediate cakulations. Distance from new wine and Cluster 1: Distance from new wine and Cluster 2: Distance from new wine and Cluster 3:
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