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If a constant 60 is subtracted from each of the values of X and Y, then the regression coefficient is

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SSC CGL Tier-II ( JSO ) 2019 Official Paper ( Held On : 17 Nov 2020 )
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  1. reduced by 60
  2. increased by 60
  3. \(\dfrac{1}{60}^{th}\)of the original regression coefficient
  4. not changed

Answer (Detailed Solution Below)

Option 4 : not changed
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Explanation

The regression coefficient are independent of the change of the origin. But , they are not independent of the change of the scale. It means there will be no effect on the regression coefficient if any constant is subtracted from the values of x and y

∴ After subtracting constant 60 from each value of X and Y, the regression coefficient is not changed

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