k-Means Clustering of Wines. Amanda Boleyn, an entrepreneur who recently sold her start-up for a multi-million-dollar sum, is looking for alternate investments for her newfound fortune. She is considering
k-Means Clustering of Wines. Amanda Boleyn, an entrepreneur who recently sold
her start-up for a multi-million-dollar
sum, is looking for alternate investments for her
newfound fortune. She is considering an investment in wine, similar to how some people
invest in rare coins and fine art. To educate herself on the properties of fine wine, she has
collected data on 13 different characteristics of 178 wines. Amanda has applied k-means
clustering to this data for k 5 1, . . . , 10 and generated the following plot of total sums
of squared deviations. After analyzing this plot, Amanda generates summaries for k 5 2,
3, and 4. Which value of k is the most appropriate to categorize these wines? Justify your
choice with calculations.
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