NPTEL Introduction to Machine Learning Week 1 Assignment Answers 2025

NPTEL Introduction to Machine Learning Week 1 Assignment Answers 2025

1. Which of the following is/are unsupervised learning problem(s)?

  • Sorting a set of news articles into four categories based on their titles
  • Forecasting the stock price of a given company based on historical data
  • Predicting the type of interaction (positive/negative) between a new drug and a set of human proteins
  • Identifying close-knit communities of people in a social network
  • Learning to generate artificial human faces using the faces from a facial recognition dataset
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2. Which of the following statement(s) about Reinforcement Learning (RL) is/are true?

  • While learning a policy, the goal is to maximize the reward for the current time step
  • During training, the agent is explicitly provided the most optimal action to be taken in each state.
  • The actions taken by an agent do no affect the environment in any way.
  • RL agents used for playing turn based games like chess can be trained by playing the agent against itself (self play).
  • RL can be used in a autonomous driving system.
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3. Which of the following is/are regression tasks(s)?

  • Predicting whether an email is spam or not spam
  • Predicting the number of new CoVID cases in a given time period
  • Predicting the total number of goals a given football team scores in an year
  • Identifying the language used in a given text document
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4. Which of the following is/are classification task(s)?

  • Predicting whether or not a customer will repay a loan based on their credit history
  • Forecasting the weather (temperature, humidity, rainfall etc.) at a given place for the following 24 hours
  • Predict the price of a house 10 years after it is constructed.
  • Predict if a house will be standing 50 years after it is constructed.
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5. Consider the following dataset. Fit a linear regression model of the form y=β01x12x2
using the mean-squared error loss. Using this model, the predicted value of y at the point (x1,x2) = (0.5, −1.0) is

  • 4.05
  • 2.05
  • −1.95
  • −3.95
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6. Consider the following dataset. Using a k-nearest neighbour (k-NN) regression model with k = 3, predict the value of y at (x1,x2) = (1.0, 0.5). Use the Euclidean distance to find the nearest neighbours.

  • −1.766
  • −1.166
  • 1.133
  • 1.733
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7. Consider the following dataset with three classes: 0, 1 and 2. x1 and x2 are the independent variables whereas y is the class label. Using a k-NN classifier with k = 5, predict the class label at the point (x1,x2) = (1.0, 1.0). Use the Euclidean distance to find the nearest neighbours.

  • 0
  • 1
  • 2
  • Cannot be predicted
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8. Consider the following statements regarding linear regression and k-NN regression models. Select the true statements.

  • A linear regressor requires the training data points during inference.
  • A k-NN regressor requires the training data points during inference.
  • A k-NN regressor with a higher value of k is less prone to overfitting.
  • A linear regressor partitions the input space into multiple regions such that the prediction over a given region is constant.
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9.

Answer :- 

10.

  • On a given training dataset, the mean-squared error of (i) is always less than or equal to that of (ii).
  • (i) is likely to have a higher variance than (ii).
  • (ii) is likely to have a higher variance than (i).
  • If (i) overfits the data, then (ii) will definitely overfit.
  • If (ii) underfits the data, then (i) will definitely underfit.
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