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Find the coefficient of correlation if the two regression coefficients are 0.5 and 4.5.

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SSC CGL Tier-II ( JSO ) 2017 Official Paper ( Held On : 22 Feb 2018 )
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  1. 1.5
  2. 2.5
  3. 3.5
  4. 2.25

Answer (Detailed Solution Below)

Option 1 : 1.5
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Detailed Solution

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Given

bxy = 0.5

byx = 405

Formula

The correlation coefficient is the geometric mean of two regression coefficient

r = √(bxy × byx)

r = correlation coefficient

Calculation

r = √(0.5 × 4.5)

r = 1.5

∴ Correlation coefficient is 1.5

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