MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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2. Jay Gatsby categorizes wines into one of three clusters. The centroids of these clusters, describing the average characteristics of a wine in each cluster, are listed in the following table.

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

Answer the ff:

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:    

What is the most appropriate for the new wine observation?

Characteristic
Alcohol
MalicAcid
Ash
Alcalinity
Magnesium
Phenols
Flavanoids
Nonflavanoids
Proanthocyanins
ColorIntensity
Hue
Dilution
Proline
Cluster 1
0.819
-0.329
0.248
-0.677
0.643
0.825
0.896
-0.595
0.619
0.135
0.497
0.744
1.117
Cluster 2
0.164
0.869
0.186
0.523
-0.075
0.977
-1.212
0.724
-0.778
0.939
- 1.162
-1.289
-0.406
Cluster 3
-0.937
-0.368
-0.393
0.249
-0.573
-0.034
0.083
0.009
0.010
-0.881
0.437
0.295
-0.776
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Transcribed Image Text:Characteristic Alcohol MalicAcid Ash Alcalinity Magnesium Phenols Flavanoids Nonflavanoids Proanthocyanins ColorIntensity Hue Dilution Proline Cluster 1 0.819 -0.329 0.248 -0.677 0.643 0.825 0.896 -0.595 0.619 0.135 0.497 0.744 1.117 Cluster 2 0.164 0.869 0.186 0.523 -0.075 0.977 -1.212 0.724 -0.778 0.939 - 1.162 -1.289 -0.406 Cluster 3 -0.937 -0.368 -0.393 0.249 -0.573 -0.034 0.083 0.009 0.010 -0.881 0.437 0.295 -0.776
Characteristic
Alcohol
MalicAcid
Ash
Alcalinity
Magnesium
Phenols
Flavanoids
Nonflavanoids
Proanthocyanins
ColorIntensity
Hue
Dilution
Proline
-1.023
-0.480
0.049
0.600
-1.242
1.094
0.001
0.548
-0.229
-0.797
0.711
-0.425
0.010
expand button
Transcribed Image Text:Characteristic Alcohol MalicAcid Ash Alcalinity Magnesium Phenols Flavanoids Nonflavanoids Proanthocyanins ColorIntensity Hue Dilution Proline -1.023 -0.480 0.049 0.600 -1.242 1.094 0.001 0.548 -0.229 -0.797 0.711 -0.425 0.010
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