Question

Homework 11 Q1. [1 pt.] (submit to this assignment item) Consider a decision tree model for classification of a binary categorical variable Y that has two classes (A and B), and the decision rule at the root node was chosen based on the values of $X_3$ given a dataset of 100 observations (40 and 60 observations for classes A and B, respectively) as follows. Class A: 40 Class B: 60 $X_3 = M$ Y N Class A: 30 Class A: 10 Class B: 10 Class B: 50 When the number of observations for each class of Y is given as shown in the figure above, what is the Gini impurity index after this first split?

          Homework 11
Q1. [1 pt.] (submit to this assignment item) Consider a decision tree model for classification of a
binary categorical variable Y that has two classes (A and B), and the decision rule at the root node
was chosen based on the values of $X_3$ given a dataset of 100 observations (40 and 60 observations
for classes A and B, respectively) as follows.
Class A: 40
Class B: 60
$X_3 = M$
Y
N
Class A: 30
Class A: 10
Class B: 10
Class B: 50
When the number of observations for each class of Y is given as shown in the figure above, what
is the Gini impurity index after this first split?

Show more…

Homework 11
Q1. [1 pt.] (submit to this assignment item) Consider a decision tree model for classification of a
binary categorical variable Y that has two classes (A and B), and the decision rule at the root node
was chosen based on the values of X3 given a dataset of 100 observations (40 and 60 observations
for classes A and B, respectively) as follows.
Class A: 40
Class B: 60
X3 = M
Y
N
Class A: 30
Class A: 10
Class B: 10
Class B: 50
When the number of observations for each class of Y is given as shown in the figure above, what
is the Gini impurity index after this first split?

Added by Molly J.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Akash M

07/10/2023

Step 1

Step 1: Calculate the Gini impurity index for the root node using the formula: Gini impurity = 1 - (p(A)^2 + p(B)^2) where p(A) and p(B) are the proportions of classes A and B in the node. Show more…

Show all steps

lock

Thanks for your feedback!

Do this with R and please give the answer as well. Homework 11 Q1. [1 pt.] (submit to this assignment item) Consider a decision tree model for classification of a binary categorical variable Y that has two classes (A and B), and the decision rule at the root node was chosen based on the values of X3 given a dataset of 100 observations (40 and 60 observations for classes A and B, respectively) as follows Class A: 40 Class B: 60 X3=M Y N Class A: 30 Class B: 10 Class A: 10 Class B: 50 When the number of observations for each class of Y is given as shown in the figure above, what is the Gini impurity index after this first split?

Play audio

Feedback

Powered by NumerAI

Akash M and 88 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later