# NPTEL Introduction to Machine Learning Week 3 Assignment Answers 2024

## NPTEL Introduction to Machine Learning Week 3 Assignment Answers 2024

1. For a two-class problem using discriminant functions (δk – discriminant function for class k), where is the separating hyperplane located?

• Where δ1>δ2
• Where δ1<δ2
• Where δ1=δ2
• Where δ1+δ2=1
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2. Given the following dataset consisting of two classes, A and B, calculate the prior probability of each class.

What are the prior probabilities of class A and class B?

• P(A)=0.5,P(B)=0.5
• P(A)=0.625,P(B)=0.375
• P(A)=0.375,P(B)=0.625
• P(A)=0.6,P(B)=0.4
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3. In a 3-class classification problem using linear regression, the output vectors for three data points are [0.8, 0.3, -0.1], [0.2, 0.6, 0.2], and [-0.1, 0.4, 0.7]. To which classes would these points be assigned?

• 1, 2, 1
• 1, 2, 2
• 1, 3, 2
• 1, 2, 3
`Answer :- `

4. If you have a 5-class classification problem and want to avoid masking using polynomial regression, what is the minimum degree of the polynomial you should use?

• 3
• 4
• 5
• 6
`Answer :- `

5. Consider a logistic regression model where the predicted probability for a given data point is 0.4. If the actual label for this data point is 1, what is the contribution of this data point to the log-likelihood?

• -1.3219
• -0.9163
• +1.3219
• +0.9163
`Answer :- `

6. What additional assumption does LDA make about the covariance matrix in comparison to the basic assumption of Gaussian class conditional density?

• The covariance matrix is diagonal
• The covariance matrix is identity
• The covariance matrix is the same for all classes
• The covariance matrix is different for each class
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7. What is the shape of the decision boundary in LDA?

`Answer :- `
`Answer :- `
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