(0) To answer the hierarchical linkage questions in this practice problem, what are the 10 Euclidean distance (or "dissimilarity") values - i.e., "d(i,j)", between customers i and j (i j) - between respondent pairs, calculated from the data? Provide these distances below, from "least" distance (i.e., nearest pair) to "greatest distance" (farthest pair) between the customers/respondents (to 3 decimal places).

a. _________

b. _________

c. _________

d. _________

e. _________

f. _________

g. _________

h. _________

i. _________

j. _________

Answers:

d(2,3)=0.901

d(1,5)=1.250

d(2,5)=1.521

d(2,4)=1.677

d(3,4)=1.803

d(1,2)=2.121

d(3,5)=2.236

d(1,3)=3.010

d(4,5)=3.041

d(1,4)=3.092

The following questions ask you to perform hierarchical cluster analyses (manually), using the above calculated distances:

(1) At what distance does the 2-cluster solution emerge using complete linkage (show to 3 decimal places, e.g., 0.123), and which respondents are in each cluster?