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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 customer's 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 А1 А2 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 0.934 The entropy of A1 is 0.998 The entropy of A2 is 0.483 The combined entropy of A1 and A2 is 0.934 The reduction in entropy if training records are split using customer's lot size is 0.4513

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 customer's 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 А1 А2 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 0.934 The entropy of A1 is 0.998 The entropy of A2 is 0.483 The combined entropy of A1 and A2 is 0.934 The reduction in entropy if training records are split using customer's lot size is 0.4513

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 customer's 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 0.934 The entropy of A1 is 0.998 The entropy of A2 is 0.483 The combined entropy of A1 and A2 is 0.934 The reduction in entropy if training records are split using customer's lot size is 0.4513
Transcribed Image Text: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 customer's 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 0.934 The entropy of A1 is 0.998 The entropy of A2 is 0.483 The combined entropy of A1 and A2 is 0.934 The reduction in entropy if training records are split using customer's lot size is 0.4513
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