Question: Data analysts at Universal bank is building a classification tree to classify its customers into two classes: nonacceptors (class 0) and acceptors (class 1) of

  1. Data analysts at Universal bank is building a classification tree to classify its customers into two classes: nonacceptors (class 0) and acceptors (class 1) of personal loan offer. Each customer can be described by a set of attributes, such as age, experience, income, family size, education, average spending on credit cards per month, etc. The data analysts are in the process of identifying the most powerful predictor to split a set of training records (denoted by A). After splitting A with customer's family size, two subsets of records are generated, denoted by A1 and A2 respectively. The number of nonacceptors and acceptors in A, A1, and A2 are given below.

    A

    A1

    A2

    Number of Nonacceptors

    352

    340

    12

    Number of Acceptors

    223

    36

    187

    Round your answers to 3 digits after the decimal point.

    The Gini index of A is?

    The Gini index of A1 is?

    The Gini index of A2 is?

    The combined Gini index of A1 and A2 is?

    The reduction in Gini index if training records are split using customers family size is Blank 5.

10 points

Question 2

  1. The marketing department of a riding mower manufacturer wants to understand who are more likely to buy their riding mowers. A group of data analysts is building a classification tree to classify its customers into two classes: nonowners (class 0) and owners (class 1) of riding mowers. Each customer is described by two attributes: income and lot size. The data analysts have agreed to split a set of training records (denoted by A) using customers lot size. Two subsets of records (denoted by A1 and A2 respectively) are produced after splitting A. The number of nonowners and owners in A, A1, and A2 are given below.

    A

    A1

    A2

    Number of Nonowners

    56

    49

    7

    Number of Owners

    104

    44

    60

    Round your answers to 3 digits after the decimal point.

    The entropy of A is?

    The entropy of A1 is?

    The entropy of A2 is?

    The combined entropy of A1 and A2 is?

    The reduction in entropy if training records are split using customers lot size is?

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