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If x and y are uncorrelated variables then this implies:

This question was previously asked in
SSC CGL Tier-II ( JSO ) 2016 Official Paper ( Held On : 2 Dec 2016 )
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  1. the absence of any linear relationship between them
  2. the absence of any quadratic relationship between them
  3. the absence of any logarithmic relationship between them
  4. the absence of any trigonometric relationship between them

Answer (Detailed Solution Below)

Option 1 : the absence of any linear relationship between them
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Detailed Solution

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Explanation

If x and y are uncorrelated variables then there can not be any line of regression between them drawn and therefore there is no line of regression relationship between them

∴ Option 1 is correct

Important Points

The line of regression = The line  y = a + bx  which is fitted  to a set of n points (xi, yi) by the method of least square called line of regression of y on x. similarly if regression x = a + by is fitted to (xi, yi) is called line of regression of x on y

The coefficient of correlation is the GM between the regression coefficient

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