If Coefficient of correlation r = 0.5 then coefficient of non-determination is __________.

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SSC CGL Tier-II ( JSO ) 2017 Official Paper ( Held On : 22 Feb 2018 )
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  1. 0.5
  2. 0.25
  3. 1
  4. 0.75

Answer (Detailed Solution Below)

Option 4 : 0.75
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Detailed Solution

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Given

Coefficient of correlation r = 0.5

Formula

Coefficient of determination = r2

Coefficient of non determination = 1 - coefficient of determination

Calculation

r = 0.5

⇒ r2 = 0.25

∴ The coefficient of determination = 0.25

∴ The coefficient of non determination is s1 - 0.25 = 0.75

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