If the coefficient of correlation rxy = 0, then variable X and Y are

  1. No linear relation between them
  2. Variables are uncorrelated
  3. Independent
  4. All of the above

Answer (Detailed Solution Below)

Option 4 : All of the above
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NDA 01/2025: English Subject Test
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Detailed Solution

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CONCEPT:

  • If r = 0 the two variables are uncorrelated i.e. independent to each other. There is no linear relation between them.
  • If r = 1 or r = –1 the correlation is perfect. The relation between them is exact.


CALCULATIONS:

Given: rxy = 0

So, the variables x and y are uncorrelated i.e there is no linear relationship between the variables x and y.

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