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For two variables x and y, the two regression coefficients are byx = -3/2 and bxy = -1/6. The correlation coefficient between x and y is:
  • a)
    -1/4
  • b)
    1/4
  • c)
    -1/2
  • d)
    1/2
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
For two variables x and y, the two regression coefficients are byx = -...
Concept:
Correlation Coefficient: The correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables.
Coefficient of correlation: The correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables.
Coefficient of correlation 
Where byx and bxy are regression coefficients or the slopes of the equation y on x and x on y 
Note: If bxy and byx are negative then the coefficient of correlation would be negative and if If bxy and byx are positive then the coefficient of correlation would be positive.
Calculation:
Given that: byx = -3/2 and bxy = -1/6
The correlation coefficient 

Since both byx and bxy are negative, so the correlation coefficient will also be negative.
Hence r = -1/2
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For two variables x and y, the two regression coefficients are byx = -3/2 and bxy = -1/6. The correlation coefficient between x and y is:a)-1/4b)1/4c)-1/2d)1/2Correct answer is option 'C'. Can you explain this answer?
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