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## Data Science for Engineers NPTEL Assignment Solutions Week 8

**Q1. The Euclidean distance between the two data points X(−5,5) and Y(10,10) is _ (Rounded off to three decimal places)**

a. 25.63

b. 32.78

c. 15.81

d. 23.32

**Answer:** c. 15.81

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**Q2. kNN is used for both function approximation and classification problems.**

a. True

b. False

**Answer:** b. False

**Q3. According to the built model ,the within cluster sum of squares for each cluster is __ (the order of values in each option could be different):**

a. 8.316061 11.952463 16.212213 19.922437

b. 7.453059 12.158682 13.212213 21.158766

c. 8.316061 13.952463 15.212213 19.922437

d. None of the above

**Answer:** Sorry! we are not able to answer these questions because we are busy today, so you can check other sources for answers.

**Q4.** **According to the built model, the size of each cluster is __ (the order of values in each option could be different):**

a. 13 13 7 14

b. 11 18 25 24

c. 8 13 16 13

d. None of the above

**Answer:**

**Q5. The Between Cluster Sum-of-Squares (BCSS) value of the built K-means model is _(Choose the appropriate range)**

a. 100 – 200

b. 200 – 300

c. 300 – 350

d. None of the above

**Answer:**

**Q6. The Total Sum-of-Squares value of the built k-means model is _ (Choose the appropriate range)**

a. 100 – 200

b. 200 – 300

c. 300 – 350

d. None of the above

**Answer:**

**Q7. A k-Means Clustering model becomes better as**

a. we increase the within-cluster SS and decrease the between-cluster SS

b. we increase the within-cluster SS and increase the between-cluster SS

c. we decrease the within-cluster SS and increase the between-cluster SS

d. none of the above

**Answer:**

**Q8. Larger K values in K-means clustering __**

a. decrease the number of mis-classified samples and decrease overfitting risk

b. decrease the number of mis-classified samples but increase overfitting risk

c. increase the number of mis-classified samples but decrease overfitting risk

d. none of the above

**Answer:**

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