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Machine Learning Techniques · Quiz 2 · 16 Mar 2025 · January 2025 term

Question 5: Consider the following feature (x) along with its label (…

Question 5

+4 marksOne correct option

Consider the following feature (xx) along with its label (yy):

xxyy
11
−1-11
21
−2-20
30
41

If you are provided with the following two questions, which one should you choose for the first(top) node of the decision tree?

(a) x≤−2x \leq -2
(b) x≤−1x \leq -1

Recall: Information gain =Entropy(D)−γEntropy(DYes)−(1−γ)Entropy(DNo)= \text{Entropy}(D) - \gamma \text{Entropy}(D_{Yes}) - (1 - \gamma) \text{Entropy}(D_{No})

Use the following values if required:
log⁡2(3/4)=−0.41,log⁡2(4/5)=−0.32,log⁡2(1/5)=−2.32,log⁡2(1/4)=−2,log⁡2(1/2)=−1.\log_2(3/4) = -0.41, \log_2(4/5) = -0.32, \log_2(1/5) = -2.32, \log_2(1/4) = -2, \log_2(1/2) = -1.

  1. A

    (a)

  2. B

    (b)

  3. C

    Insufficient information

Show answer

Correct answer

  • A

    (a)

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Question 5 of 14 in the IIT Madras BS Machine Learning Techniques (MLT) Quiz 2 paper sat on 16 Mar 2025, in the January 2025 term (IIT M DIPLOMA AN EXAM QDD2 16 Mar 2025). It carries 4 marks.

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