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Question

If one regression coefficient is unity, then the other will be


A

Greater than unity

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B

Greater than or equal to unity

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C

Less than or equal to unity

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D

None of the above

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Solution

The correct option is C

Less than or equal to unity


Explanation for the correct option.

  • As per the definition of the regression coefficient, when there is a known variable then it can be used to determine the value of an unknown variable.
  • As we know if one coefficient of the regression is greater than one, then the other will be numerically less than it.
  • As given that one of the regression coefficients is 1 then the other one can either be equal to or less than unity.

Hence, the correct option is (C).


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