Nutrient data in different types of food was collected. The data had variables Energy, Protein, measured in samples of each of the following types of fruit: apple, banana, cherry, date, fig, grape, grapefruit, guava, jackfruit, kiwi, lemon, lime, mango, orange, peach, pear, pineapple, plantain, pomegranate, pricklypear, prune, rhubarb, satsuma, strawberry, sultana, watermelon. Two cluster analyses were built with the K-medoid clustering procedure for K = 3, 4. Scatterplots and silhouette plots are provided below. Labels in scatterplots are colored by clusters. Protein Protein 2.0 1.0 0.5 0.2 2.0 1.0 0.5 0.2 lime satsuma lime emon ppeach apamiyon cherry orangekweigranatmana gupavane fig pineapplear 50 satsuma grape mango apple emon ppeach aperinneton grape mango pineapplear 50 jackfruit apple plantain cherry orangekwigranatenana gupavane fig plantain rhubarb 100 Energy jackfruit rhubarb 100 Energy 200 200 sultan date sultar date fig cherr banan jackt pomeg mango plant rhubal grape kiwi pear apple prune guava pineal orang sulta date straw grape lemon water lime ppear peach salsu grape mango kiwi pomeg pear apple cherr prune fig guava pineal orang sulta date straw grape lemon water lime ppear peach satsu plant rhuba jackt banan Silhouette plot n = 26 -0.4 -0.2 Silhouette plot n = 26 0.0 0.2 3 clusters C₁ j: nj | avei=cj Si 0.0 0.2 0.4 0.6 Silhouette width si 1: 16 | 0.25 0.4 0.6 Silhouette width si 2: 2 0.87 3 8 0.78 0.8 1.0 4 clusters C₁ j: nj | avei=cj Si 1: 12 | 0.54 2: 2 | 0.85 3: 8 0.67 4: 4 0.61 0.8 1.0
Nutrient data in different types of food was collected. The data had variables Energy, Protein, measured in samples of each of the following types of fruit: apple, banana, cherry, date, fig, grape, grapefruit, guava, jackfruit, kiwi, lemon, lime, mango, orange, peach, pear, pineapple, plantain, pomegranate, pricklypear, prune, rhubarb, satsuma, strawberry, sultana, watermelon. Two cluster analyses were built with the K-medoid clustering procedure for K = 3, 4. Scatterplots and silhouette plots are provided below. Labels in scatterplots are colored by clusters. Protein Protein 2.0 1.0 0.5 0.2 2.0 1.0 0.5 0.2 lime satsuma lime emon ppeach apamiyon cherry orangekweigranatmana gupavane fig pineapplear 50 satsuma grape mango apple emon ppeach aperinneton grape mango pineapplear 50 jackfruit apple plantain cherry orangekwigranatenana gupavane fig plantain rhubarb 100 Energy jackfruit rhubarb 100 Energy 200 200 sultan date sultar date fig cherr banan jackt pomeg mango plant rhubal grape kiwi pear apple prune guava pineal orang sulta date straw grape lemon water lime ppear peach salsu grape mango kiwi pomeg pear apple cherr prune fig guava pineal orang sulta date straw grape lemon water lime ppear peach satsu plant rhuba jackt banan Silhouette plot n = 26 -0.4 -0.2 Silhouette plot n = 26 0.0 0.2 3 clusters C₁ j: nj | avei=cj Si 0.0 0.2 0.4 0.6 Silhouette width si 1: 16 | 0.25 0.4 0.6 Silhouette width si 2: 2 0.87 3 8 0.78 0.8 1.0 4 clusters C₁ j: nj | avei=cj Si 1: 12 | 0.54 2: 2 | 0.85 3: 8 0.67 4: 4 0.61 0.8 1.0
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Briefly describe the given silhouette plots; then compare them, suggesting a value of K.
interpret the diagrams.
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