Assume that the entire sample has 2 positive observations and 6 negatives observations. Variable X1: at the left branch has 2 positive observations and 4 negatives observations; at the right branch has 6 positive observations and 6 negatives observations. What is the information gain or reduction in uncertainty of X1 using the Gini index? (round to two decimal spaces)

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
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Applying your model to 5 bootstrap samples, you obtain the following results: 2,6,8,3,1

and the mean squared error of each of the above forecasts are: 0.2, 0.5, 0.6,  0.4, 0.1

the average forecast between bumping and random forest is: (round to 2 decimal spaces)

Kindly provide detailed solution so I can understand.Solve it numerically without using an computer language.

Assume that the entire sample has 2 positive observations and 6 negative observations.

Variable X1: 

- At the left branch, there are 2 positive observations and 4 negative observations.
- At the right branch, there are 6 positive observations and 6 negative observations.

What is the information gain or reduction in uncertainty of X1 using the Gini index? (Round to two decimal places)
Transcribed Image Text:Assume that the entire sample has 2 positive observations and 6 negative observations. Variable X1: - At the left branch, there are 2 positive observations and 4 negative observations. - At the right branch, there are 6 positive observations and 6 negative observations. What is the information gain or reduction in uncertainty of X1 using the Gini index? (Round to two decimal places)
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