A) \[0.66\]
B) \[-0.64\]
C) \[0.001\]
D) \[-0.001\]
Correct Answer: B
Solution :
Key Idea: If both regression coefficients are positive or negative, then the correlation coefficient is positive or negative. Given regression equations are \[x=19.13-0.83y\]and\[y=11.64-0.50x\] Their corresponding regression coefficients are \[{{b}_{xy}}=-0.83\]and by\[{{b}_{yx}}=-0.50\] \[\therefore \]Correlation coefficient\[=-\sqrt{{{b}_{xy}}\times {{b}_{yx}}}\] \[=-\sqrt{0.83\times 0.50}\] \[=-0.64\] Note: If regression coefficients are of opposite sign, then correlation coefficient cannot be determined.
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