If \(b_{YX}\gt 1\) then \(b_{XY}\) is _____.
Q.4 (A) (iii) If \(b_{YX}\gt 1\) then \(b_{XY}\) is _____.
A. \(\gt 1\)
B. \(\lt 0\)
C. \(=0\)
D. \(\lt 1\)
Q.4 (A) (iii) If \(b_{YX}\gt 1\) then \(b_{XY}\) is _____.
A. \(\gt 1\)
B. \(\lt 0\)
C. \(=0\)
D. \(\lt 1\)
Best answer
Answer: D. \(\lt 1\)
Answer: (d) \(\lt 1\)
\(b_{YX}\cdot b_{XY}=r^2\le 1\). If \(b_{YX}\gt 1\), then \(b_{XY}\le\frac{1}{b_{YX}}\lt 1\). (Both regression coefficients have the same sign, so it cannot be negative here.)
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