Jay has recently discovered a new wine from the Piedmont region of Italy with the following characteristics. In which cluster of wines should he place this new wine? Justify your choice with appropriate calculations. Characteristic Alcohol Malic Acid Ash Alkalinity Magnesium Phenols Hue Dilution -0.984 -0.441 Proline 0.088 0.639 Flavonoids Nonflavonoids -0.509 Proanthocyanidins -0.19 Color Intensity -0.758 0.75 -1.203 1.133 0.04 -0.386 0.049 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? O Cluster 1 O Cluster 2 Ⓒ Cluster 3

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter4: Equations Of Linear Functions
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Jay has recently discovered a new wine from the Piedmont region of Italy with the following characteristics. In which cluster of wines should he place this new wine? Justify your choice with appropriate calculations.
Characteristic
Alcohol
Malic Acid
Ash
Alkalinity
Magnesium
Phenols
Hue
Dilution
-0.984
Proline
-0.441
0.088
0.639
Flavonoids
Nonflavonoids -0.509
Proanthocyanidins -0.19
Color Intensity
-0.758
-1.203
1.133
0.04
0.75
-0.386
0.049
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?
O Cluster 1
O Cluster 2
Ⓒ Cluster 3
Transcribed Image Text:Jay has recently discovered a new wine from the Piedmont region of Italy with the following characteristics. In which cluster of wines should he place this new wine? Justify your choice with appropriate calculations. Characteristic Alcohol Malic Acid Ash Alkalinity Magnesium Phenols Hue Dilution -0.984 Proline -0.441 0.088 0.639 Flavonoids Nonflavonoids -0.509 Proanthocyanidins -0.19 Color Intensity -0.758 -1.203 1.133 0.04 0.75 -0.386 0.049 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? O Cluster 1 O Cluster 2 Ⓒ Cluster 3
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, describing the average characteristics of a wine in each cluster, are listed in the following table.
Cluster 1
Characteristic
Alcohol
Malic Acid
Ash
Alkalinity
Magnesium
Phenols
Flavonoids
Color Intensity
Hue
0.819
-0.329
0.248
Dilution
Proline
-0.677
0.643
Nonflavonoids
Proanthocyanidins 0.619
0.135
0.825
0.896
-0.595
0.497
0.744
1.117
Cluster 2
0.164
0.869
0.186
0.523
-0.075
0.977
-1.212
0.724
-0.778
0.939
-1.162
-1.289
-0.406
Cluster 3
-0.937
-0.368
-0.393
0.249
-0.573
-0.034
0.083
0.009
0.010
-0.881
0.437
0.295
-0.776
Transcribed Image Text: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, describing the average characteristics of a wine in each cluster, are listed in the following table. Cluster 1 Characteristic Alcohol Malic Acid Ash Alkalinity Magnesium Phenols Flavonoids Color Intensity Hue 0.819 -0.329 0.248 Dilution Proline -0.677 0.643 Nonflavonoids Proanthocyanidins 0.619 0.135 0.825 0.896 -0.595 0.497 0.744 1.117 Cluster 2 0.164 0.869 0.186 0.523 -0.075 0.977 -1.212 0.724 -0.778 0.939 -1.162 -1.289 -0.406 Cluster 3 -0.937 -0.368 -0.393 0.249 -0.573 -0.034 0.083 0.009 0.010 -0.881 0.437 0.295 -0.776
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