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 -1.023 MalicAcid -0.480 Ash 0.049 Alcalinity Magnesium 0.600 -1.242 Phenols 1.094 Flavanoids 0.001 Nonflavanoids 0.548 -0.229 Proanthocyanins ColorIntensity -0.797 Hue 0.711 Dilution -0.425 Proline 0.010 If required, round your answers to three decimal places. Do not round intermediate calculations. Distance from new wine and Cluster 1: -4.177 Distance from new wine and Cluster 2: Distance from new wine and Cluster 3:

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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.
Characteristic
Cluster 1
Cluster 2
Cluster 3
Alcohol
0.819
0.164
-0.937
MalicAcid
-0.329
0.869
-0.368
Ash
0.248
0.186
-0.393
Alcalinity
Magnesium
-0.677
0.523
0.249
0.643
-0.075
-0.573
Phenols
0.825
0.977
-0.034
Flavanoids
0.896
-1.212
0.083
Nonflavanoids
-0.595
0.724
0.009
Proanthocyanins
Colorlntensity
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
Transcribed Image Text: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. Characteristic Cluster 1 Cluster 2 Cluster 3 Alcohol 0.819 0.164 -0.937 MalicAcid -0.329 0.869 -0.368 Ash 0.248 0.186 -0.393 Alcalinity Magnesium -0.677 0.523 0.249 0.643 -0.075 -0.573 Phenols 0.825 0.977 -0.034 Flavanoids 0.896 -1.212 0.083 Nonflavanoids -0.595 0.724 0.009 Proanthocyanins Colorlntensity 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 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
-1.023
MalicAcid
-0.480
Ash
0.049
Alcalinity
Magnesium
0.600
-1.242
Phenols
1.094
Flavanoids
0.001
Nonflavanoids
0.548
Proanthocyanins
Colorlntensity
-0.229
-0.797
Hue
0.711
Dilution
-0.425
Proline
0.010
If required, round your answers to three decimal places. Do not round intermediate calculations.
Distance from new wine and Cluster 1:
-4.177
Distance from new wine and Cluster 2:
Distance from new wine and 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 -1.023 MalicAcid -0.480 Ash 0.049 Alcalinity Magnesium 0.600 -1.242 Phenols 1.094 Flavanoids 0.001 Nonflavanoids 0.548 Proanthocyanins Colorlntensity -0.229 -0.797 Hue 0.711 Dilution -0.425 Proline 0.010 If required, round your answers to three decimal places. Do not round intermediate calculations. Distance from new wine and Cluster 1: -4.177 Distance from new wine and Cluster 2: Distance from new wine and Cluster 3:
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