Briefly describe the given silhouette plots; then compare them, suggesting a value of K. N.B. You are not expected to describe what silhouette is, but to interpret the diagrams.

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Protein
2.0
1.0
0.5
0.2
lime
satsuma
cherry
orangekwegranate ana
guavane fig plantain
emon Apeach
aperimeton
grape
mango
pineapplear
apple
50
jackfruit
rhubarb
100
200
sultar
date
grape
mango
kiwi
pomeg
pear
apple
cherr
prune
fig
guava
pinea
orang
sulta
date
straw
grape
lemon
water
lime
ppear
peach
salsu
plant
rhuba
jackt
banan
Silhouette plot
n = 26
0.0
0.2
Energy
of K.
Briefly describe the given silhouette plots; then compare them, suggesting a val
N.B. You are not expected to describe what silhouette is, but to interpret the diagrams.
4 clusters C₁
j: nj|avei=Cj Si
0.4
0.6
Silhouette width 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 2.0 1.0 0.5 0.2 lime satsuma cherry orangekwegranate ana guavane fig plantain emon Apeach aperimeton grape mango pineapplear apple 50 jackfruit rhubarb 100 200 sultar date grape mango kiwi pomeg pear apple cherr prune fig guava pinea orang sulta date straw grape lemon water lime ppear peach salsu plant rhuba jackt banan Silhouette plot n = 26 0.0 0.2 Energy of K. Briefly describe the given silhouette plots; then compare them, suggesting a val N.B. You are not expected to describe what silhouette is, but to interpret the diagrams. 4 clusters C₁ j: nj|avei=Cj Si 0.4 0.6 Silhouette width 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
provided below. Labels in scatterplots are colored by clusters.
=
3,4. Scatterplots and silhouette plots are
Protein
2.0
1.0
0.5
0.2
lime
satsuma
cherry
orangekiweigranatmana
guavane fig plantain
emon ppeach
aperiton
grape
mango
pineapplear
apple
50
jackfruit
rhubarb
100
Energy
200
sultan
date
fig
cherr
banan
jackt
pomeg
mango
plant
rhuba
grape
kiwi
pear
apple
prune
guava
pinea
orang
sulta
date
straw
grape
lemon
water
lime
ppear
peach
Sasu
Silhouette plot
n = 26
-0.4 -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
2: 2 0.87
3: 8 | 0.78
0.8 1.0
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 provided below. Labels in scatterplots are colored by clusters. = 3,4. Scatterplots and silhouette plots are Protein 2.0 1.0 0.5 0.2 lime satsuma cherry orangekiweigranatmana guavane fig plantain emon ppeach aperiton grape mango pineapplear apple 50 jackfruit rhubarb 100 Energy 200 sultan date fig cherr banan jackt pomeg mango plant rhuba grape kiwi pear apple prune guava pinea orang sulta date straw grape lemon water lime ppear peach Sasu Silhouette plot n = 26 -0.4 -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 2: 2 0.87 3: 8 | 0.78 0.8 1.0
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