State whether true or false: If \(b_{yx}+b_{xy}=1.30\) and \(r=0.75\) then the given data is inconsistent.
Q.4 (B) (i) State whether true or false: If \(b_{yx}+b_{xy}=1.30\) and \(r=0.75\) then the given data is inconsistent.
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Answer: True
The arithmetic mean of the regression coefficients is never less than the correlation coefficient: \(\frac{b_{yx}+b_{xy}}{2}\ge r\). Here \(\frac{1.30}{2}=0.65\lt0.75=r\), so the data is inconsistent.
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· 28 Oct 2026
AI-verified · Oct 2026
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