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?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

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
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman