byx​ and bxy are two regression coefficients. If byx>1, then bxy​ will be –

2021

byx​ and bxy are two regression coefficients. If byx>1, then bxy​ will be –

  1. A.

    Positive

  2. B.

    Negative

  3. C.

    Positive > 1

  4. D.

    Positive < 1

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Show answer & explanation

Correct answer: A

The product of the two regression coefficients b_yx and b_xy is equal to the square of the correlation coefficient, i.e., b_yx * b_xy = r^2. Since the square of a real number is always non-negative (r^2 >= 0), both regression coefficients must have the same sign. Therefore, if b_yx > 0, then b_xy must also be positive.

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