ay 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 -1.023 Malic Acid -0.480 Ash 0.049 Alkalinity 0.600 Magnesium -1.242 Phenols 1.094 Flavonoids 0.001 Nonflavonoids 0.548 Proanthocyanidins -0.229 Color Intensity -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: Distance from new wine and Cluster 2: Distance from new wine and Cluster 3:
ay 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 -1.023 Malic Acid -0.480 Ash 0.049 Alkalinity 0.600 Magnesium -1.242 Phenols 1.094 Flavonoids 0.001 Nonflavonoids 0.548 Proanthocyanidins -0.229 Color Intensity -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: 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 (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 | -1.023 |
| Malic Acid | -0.480 |
| Ash | 0.049 |
| Alkalinity | 0.600 |
| Magnesium | -1.242 |
| Phenols | 1.094 |
| Flavonoids | 0.001 |
| Nonflavonoids | 0.548 |
| Proanthocyanidins | -0.229 |
| Color Intensity | -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. | ||||||
|
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