Refer to the previous exercise for a description of the data set. 

a. Perform agglomerative clustering on the accompanying data consisting of both numerical and categorical variables. Use Gower’s coefficient for the distance between observations and Ward’s clustering method. How many clusters can be generated if the minimum distance between clusters is 1? 

b. How many customers are in the largest cluster? What is the average income of the customers in the largest cluster?

Data from Exercises 16

A local pizza store wants to get a better sense of who its customers are. The accompanying table shows a portion of data that it collected on 30 randomly selected customers. Variables include age, female (1 if female, 0 otherwise), annual income, married (1 if married, 0 otherwise), own (1 if own residence, 0 otherwise), college (1 if completed college degree, 0 otherwise), household size (Size), and annual store spending (Spending).

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Record Age 25 27 1 2 ⠀ 30 41 Female 0 0 ⠀ 1 Spending 288 474 ⠀ 1401