In regression analysis \(b_{yx}\cdot b_{xy}\) = _____.
Q.4 (A) (iii) In regression analysis \(b_{yx}\cdot b_{xy}\) = _____.
A. \(V(x)\)
B. \(\sigma_x\)
C. \((\sigma_y)^2\)
D. \(r^2\)
Q.4 (A) (iii) In regression analysis \(b_{yx}\cdot b_{xy}\) = _____.
A. \(V(x)\)
B. \(\sigma_x\)
C. \((\sigma_y)^2\)
D. \(r^2\)
Best answer
Answer: D. \(r^2\)
Answer: (d) \(r^2\)
\(b_{yx}=r\frac{\sigma_y}{\sigma_x}\) and \(b_{xy}=r\frac{\sigma_x}{\sigma_y}\), so \(b_{yx}\cdot b_{xy}=r^2\).
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