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.

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.
Transcribed Image Text: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
Transcribed Image Text: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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