Question

Given below are two statements:

If two variables V₁ and V₂ are used for clustering, then consider the following statements for k means clustering with k = 3:

Statement I: If V₁ and V₂ have correlation of 1 the cluster centroid will be in straight line.

Statement II: If V₁ and V₂ have correlation of 0 the cluster centroid will be in straight line.

In the light of the above statements. choose the correct answer from the options given below

1. Both Statement I and Statement II are true
2. Both Statement I and Statement II are false
3. Statement I is correct but Statement II is false
4. Statement I is incorrect but Statement II is true

Answer 1

Correct Answer - Option 3 : Statement I is correct but Statement II is false

The correct answer is option 3.

Both data points would be in a straight line if the correlation between the variables V1 and V2 is 1. As a result, all three cluster centroids will form a straight line.

∴ Hence the Statement I is correct but Statement II is false.

K-Means Clustering is an unsupervised learning algorithm used in machine learning and data science to tackle clustering problems.   Unsupervised Learning algorithm K-Means Clustering divides the unlabeled dataset into separate clusters. K specifies the number of pre-defined clusters that must be generated during the process; for example, if K=2, two clusters will be created, and if K=3, three clusters will be created.