Credit Rating (feature1) Liabiltiy or not (Target) Yes No Total Excellent 3 1 4 Good 4 2 6 Poor 0 4 4 Total 7 7 14   Balance (feature2) Liabiltiy or not (Target) Yes No Total >50K 2 6 8 < 50 K 5 1 6 Total 7 7 14   Liability Tables Refer to the ‘Liability’ tables above, the target variable is Liability which can take on two values “Yes” and “No” and we 2 features: Credit Rating (which can take on values “Excellent”, “Good” and “Poor”), and  Balance (which can take on values “> 50K”, “< 50K”). There are 14 observations in total. See the above liability table for different figures of ‘excellent’, ‘good’, ‘poor’ credit ratings and ‘Yes’, ‘No’ liability class. Use decision tree algorithm to work out which feature provides more information or reduces more uncertainty about our target variable out of the two using the concepts of entropy and information Gain.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Credit Rating (feature1)

Liabiltiy or not (Target)

Yes

No

Total

Excellent

3

1

4

Good

4

2

6

Poor

0

4

4

Total

7

7

14

 

Balance (feature2)

Liabiltiy or not (Target)

Yes

No

Total

>50K

2

6

8

< 50 K

5

1

6

Total

7

7

14

 

Liability Tables

Refer to the ‘Liability’ tables above, the target variable is Liability which can take on two values “Yes” and “No” and we 2 features: Credit Rating (which can take on values “Excellent”, “Good” and “Poor”), and  Balance (which can take on values “> 50K”, “< 50K”). There are 14 observations in total. See the above liability table for different figures of ‘excellent’, ‘good’, ‘poor’ credit ratings and ‘Yes’, ‘No’ liability class. Use decision tree algorithm to work out which feature provides more information or reduces more uncertainty about our target variable out of the two using the concepts of entropy and information Gain.

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