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Given below are two statements:

If two variables $V_1$ and $V_2$ are used for clustering, then consider the following statements for $k$ means clustering with $k=3$:

  • Statement I: If $V_1$ and $V_2$ have correlation of $1$ the cluster centroid will be in straight line
  • Statement II: If $V_1$ and $V_2$ 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
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C. Statement I is correct but Statement II is false …

 

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.…

 

Answer:

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