Question: Distance to Centroid Calculation for Wine Clusters Jay Gatbsy categorizes win into one of three clusters. The centroids of these clusters, describing the average characteristics

Distance to Centroid Calculation for Wine Clusters

Jay Gatbsy categorizes win into one of three clusters. The centroids of these clusters, describing the average characteristics of a wine in each cluster, are listed in the attached table.

Distance to Centroid Calculation for Wine Clusters Jay Gatbsy categorizes win into

Jay has recently discovered a new wine from the Piedmont region of Italy with the characteristics found in the far right column of the attached. In which cluster of wines should he place this new wine? Justify your choice with appropriate calculations.

CharacteristicAlcoholMalicAcidAshAlkalinityMagnesiumPhenolsFlavanoidsNonflavanoidsProanthocyaninsColorIntensityHueDilutionProlineCluster10.8190.3290.2480.6770.6430.8250.8960.5950.6190.1350.4970.7441.117Cluster20.1640.8690.1860.5230.0750.9771.2120.7240.7780.9391.1621.2890.406Cluster30.9370.3680.3930.2490.5730.0340.0830.0090.0100.8810.4370.2950.776NewWine1.0230.4800.0490.6001.2421.0940.0010.5480.2290.7970.7110.4250.010 CharacteristicAlcoholMalicAcidAshAlkalinityMagnesiumPhenolsFlavanoidsNonflavanoidsProanthocyaninsColorIntensityHueDilutionProlineCluster10.8190.3290.2480.6770.6430.8250.8960.5950.6190.1350.4970.7441.117Cluster20.1640.8690.1860.5230.0750.9771.2120.7240.7780.9391.1621.2890.406Cluster30.9370.3680.3930.2490.5730.0340.0830.0090.0100.8810.4370.2950.776NewWine1.0230.4800.0490.6001.2421.0940.0010.5480.2290.7970.7110.4250.010

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