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Two lines of regression are 3x+4y-7=0 and 4x+y-5=0 Then correlation coefficient between x and y is

  1. fraction numerator square root of 3 over denominator 4 end fraction    
  2. negative fraction numerator square root of 3 over denominator 4 end fraction    
  3. fraction numerator 3 over denominator 16 end fraction    
  4. negative fraction numerator 3 over denominator 16 end fraction    

The correct answer is: negative fraction numerator square root of 3 over denominator 4 end fraction


    Here, regression lines are y equals negative fraction numerator 3 over denominator 4 end fraction x plus fraction numerator 7 over denominator 4 end fraction
    and x equals fraction numerator negative y over denominator 4 end fraction plus fraction numerator 5 over denominator 4 end fraction
    Hence, r equals square root of open parentheses fraction numerator negative 3 over denominator 4 end fraction close parentheses open parentheses fraction numerator negative 1 over denominator 4 end fraction close parentheses end root equals fraction numerator negative square root of 3 over denominator 4 end fraction.

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