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The two regression lines are 2x - 7y + 6 = 0 and 7x - 2y + 1 = 0. What is the correlation coefficient between x and y?
  • a)
    -(2/3)
  • b)
     2/7
  • c)
     4/9 ​
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The two regression lines are 2x - 7y + 6 = 0 and 7x - 2y + 1 = 0. What...
To find the correlation coefficient between two variables, we need to find the slope of the regression line. The slope of the regression line is given by the ratio of the coefficients of the variables in the equation of the line.

Given regression lines:
1) 2x - 7y + 6 = 0
2) 7x - 2y + 1 = 0

Slope of the regression line for x in the first equation = coefficient of x / coefficient of y = 2 / (-7) = -2/7
Slope of the regression line for x in the second equation = coefficient of x / coefficient of y = 7 / (-2) = -7/2

Therefore, the correlation coefficient between x and y is the product of the slopes of the two regression lines.

Correlation coefficient = (-2/7) * (-7/2) = 4/14 = 2/7

Therefore, the correct answer is option 'B', 2/7.
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The two regression lines are 2x - 7y + 6 = 0 and 7x - 2y + 1 = 0. What is the correlation coefficient between x and y?a)-(2/3)b)2/7c)4/9 d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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