Identify the target variable from the table and, compute the entropy for this data set. Let’s suppose “Type” feature is a root node, define the number of branches relates to it as well as calculate the information gain of “Type”?

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
Problem 1PE
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Question # 1. Classification (ID3 Algorithm)

CLO-3,4, PLO-2,3, C-1,3

10

A dataset showing the decisions made by an individual about whether to wait for a table at a restaurant is listed in Table 1.

Table1

Bar

Patron

Rain

Type

Will Wait

F

Some

F

French

T

F

Full

F

Thai

F

T

Some

F

Burger

T

F

Full

F

Thai

T

F

Full

F

French

F

T

Some

T

Italian

T

T

None

T

Burger

F

F

Some

T

Thai

T

T

Full

T

Burger

F

T

Full

F

Italian

F

F

None

F

Thai

F

T

Full

F

Burger

T

Give the answers of following questions:

  1. Identify the target variable from the table and, compute the entropy for this data set.
  2. Let’s suppose “Type” feature is a root node, define the number of branches relates to it as well as calculate the information gain of “Type”?
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