Given below are two statements: V V If two variables 1 and 2 are used for clustering, then consider the following k k = 3 statements for means clustering with V V

Statement I : If 1 and 2 have correlation of 1 the cluster centroid will be in straight line. V V

Statement II : If 1 and 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. ABoth Statement I and Statement II are true
2. BBoth Statement I and Statement II are false
3. CStatement I is correct but Statement II is false
4. DStatement I is incorrect but Statement II is true.

Pick an option to check yourself, or open the answer below.

Show answer & explanation

Correct answer: C. Statement I is correct but Statement II is false

Explanation

With correlation 1 all points lie on a line, so every cluster centroid (an average of such points) lies on that line. With correlation 0 the points are spread out and the centroids need not be collinear.