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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 -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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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