Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
Machine Learning Techniques
Quiz 2 · 3 Aug 2025 (Afternoon)
Examination Instructions & Guidelines
- Solve on notebook/paper first before checking solutions.
- MCQ: Exactly 1 option is correct. Negative marking applies.
- MSQ: One or more options correct. Select all to score.
- NAT: Numerical response. No negative marking.
- Scientific calculator allowed for all calculations.
- Official answer key is sealed at the end of this sheet.
- Q1MCQ4 Marks·Choose one option

- A

- B

- C

- D

- A
- Q2MCQ3 Marks·Choose one option

- A

- B

- C

- D

- A
- Q3MCQ3 Marks·Choose one option

- ASetting 3, because it has the lowest training error, indicating the best fit to the training data.
- BSetting 2, because it has the lowest validation error and a relatively low training error, indicating a good generalization.
- CSetting 1, because it has the highest number of iterations and therefore likely to be more stable.
- DSetting 4, because it uses the highest learning rate and converges the fastest.
- Q4MCQ3 Marks·Choose one option

- A

- B

- C

- D

- A
- Q5MCQ2 Marks·Choose one option

- ATRUE
- BFALSE
- Q6MCQ1 Mark·Choose one option

- ATRUE
- BFALSE
- Q7MSQ2 Marks·Choose all correct options

- A

- B

- C

- D

- A
- Q8MSQ2 Marks·Choose all correct options
Which among the following are true?
- A

- B

- C

- D

- E

- A
- Q9NAT3 Marks·Write the number
Your answer: Read the passage below, then answer Q10–Q11

Based on the above data, answer the given subquestions.
Q10MCQ3 Marks·Choose one optionWhich among the following represents the correct decision boundary for the decision tree? Note: Here + represents the label 1 and − represents the label 0.
- A

- B

- C

- D

- A
- Q11NAT2 Marks·Write the number
What will be the prediction for the new datapoint (2, 2)?
Your answer: Read the passage below, then answer Q12–Q13

Based on the above data, answer the given subquestions.
Q12NAT2 Marks·Write the number
Your answer:- Q13NAT3 Marks·Write the number
Your answer: Read the passage below, then answer Q14–Q15
Suppose you want to build a decision tree to help diagnose a certain disease based on patient data. You have a dataset of 1000 patients labeled as either “positive” or “negative”. Here, positive represents patients with the disease and negative represents no disease. One of the feature used to diagnose is headache.
Below is the breakdown of the patients reporting headache:
Headache present: 300 positive, 50 negative
Headache not present: 100 positive, 550 negative

Based on the above data, answer the given subquestions.
Q14NAT3 Marks·Write the numberWhat is the entropy of the root node? Enter the answer correct to two decimal places.
Your answer:- Q15NAT4 Marks·Write the number
What is the information gain for choosing the feature “headache” for splitting at the root node? Enter the answer correct to two decimal places.
Your answer: