Question: This problem does not require the use of data mining software and focuses on knowledge of concepts and basic calculations. Jay Gatsby categorizes wines


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. 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 he place this new wine? Justify your choice with appropriate calculatio Characteristic Alcohol -1.105 Malic Acid -0.562 Ash -0.033 Alkalinity 0.518 Magnesium -1.324 Phenols 1.012 Flavonoids -0.081 Nonflavonoids -0.63 Proanthocyanidins -0.311 Color Intensity -0.879 Hue 0.629 Dilution -0.507 Proline -0.072 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: 3.878 3.724 1.905 In which cluster of wines should he place this new wine? Cluster 1 Cluster 2 Cluster 3 Need Help? Read It
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To calculate the Euclidean distances from the new wine to each of the three clusters Cluster 1 Cluster 2 and Cluster 3 we will use the Euclidean dista... View full answer
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