This problem does not require the use of data mining software and focuses on knowledge of concepts and basic calculations. Jay Gatsby categorizes wines into one of three clusters. The centroids of these clusters (in standardized units), describing the average characteristics of a wine in each cluster, are listed in the following table. Characteristic Cluster 1 Cluster 2 Cluster 3 Alcohol 0.819 0.164 −0.937 Malic Acid −0.329 0.869 −0.368 Ash 0.248 0.186 −0.393 Alkalinity −0.677 0.523 0.249 Magnesium 0.643 −0.075 −0.573 Phenols 0.825 0.977 −0.034 Flavonoids 0.896 −1.212 0.083 Nonflavonoids −0.595 0.724 0.009 Proanthocyanidins 0.619 −0.778 0.010 Color Intensity 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 new wine from the Piedmont region of Italy with the following characteristics. In which cluster of wines should Jay place this new wine? Justify your choice with appropriate calculations. Characteristic Alcohol −0.939 Malic Acid −0.396 Ash 0.133 Alkalinity 0.684 Magnesium −1.158 Phenols 1.178 Flavonoids 0.085 Nonflavonoids −0.464 Proanthocyanidins −0.145 Color Intensity −0.713 Hue 0.795 Dilution −0.341 Proline 0.094 Calculate the following Euclidean distances. (Round your answers to three decimal places.) Euclidean distance from new wine and Cluster 1:Euclidean distance from new wine and Cluster 2:Euclidean distance from new wine and Cluster 3: In which cluster of wines should he place this new wine? Cluster 1Cluster 2 Cluster 3

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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This problem does not require the use of data mining software and focuses on knowledge of concepts and basic calculations.

Jay Gatsby categorizes wines into one of three clusters. The centroids of these clusters (in standardized units), describing the average characteristics of a wine in each cluster, are listed in the following table.

Characteristic	Cluster 1	Cluster 2	Cluster 3
Alcohol	0.819	0.164	−0.937
Malic Acid	−0.329	0.869	−0.368
Ash	0.248	0.186	−0.393
Alkalinity	−0.677	0.523	0.249
Magnesium	0.643	−0.075	−0.573
Phenols	0.825	0.977	−0.034
Flavonoids	0.896	−1.212	0.083
Nonflavonoids	−0.595	0.724	0.009
Proanthocyanidins	0.619	−0.778	0.010
Color Intensity	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 new wine from the Piedmont region of Italy with the following characteristics. In which cluster of wines should Jay place this new wine? Justify your choice with appropriate calculations.

Characteristic
Alcohol	−0.939
Malic Acid	−0.396
Ash	0.133
Alkalinity	0.684
Magnesium	−1.158
Phenols	1.178
Flavonoids	0.085
Nonflavonoids	−0.464
Proanthocyanidins	−0.145
Color Intensity	−0.713
Hue	0.795
Dilution	−0.341
Proline	0.094

Calculate the following Euclidean distances. (Round your answers to three decimal places.)

Euclidean distance from new wine and Cluster 1:Euclidean distance from new wine and Cluster 2:Euclidean distance from new wine and Cluster 3:

In which cluster of wines should he place this new wine?

Cluster 1Cluster 2 Cluster 3

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