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

The correct answer is option 3.

Key Points

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.

Additional Information

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.