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 –
- A.
Positive
- B.
Negative
- C.
Positive > 1
- D.
Positive < 1
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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.