Question

Questions
7 Given the Regression lines
is 2x - 9y + 6 = 0 and x - 2y + 1
= 0 What will be value of
coefficient of correlation (1):
Options (Marks: 4)
(Tap/Click on option)
Option 1
D 2/3
Option 2
1/3
Option 3
D4/3
Option 4
5/3​

Answer 1

Answer: Value of coefficient of correlation of  the Regression lines

$2x - 9y + 6 = 0$ and $x - 2y + 1=0$ is Option 1)  $\frac{2}{3}$

Step-by-step explanation:

• coefficient of correlation is a measure of the relationship of the 2 variables.

      $r=\sqrt{ b(x,y) *b(y,x)$

Step 1 of 2:

• For  $x-2y+1 = 0$, rearrange the equation as given below.

       $x = 2y - 1$

• $b(x,y) = 2$  

• For  $2x - 9y + 6 = 0$, rearrange the equation as given below.
•        $y=\frac{2}{9}x+\frac{6}{9}$
• $b(x,y) = \frac{2}{9}$  

Step 2of 2: Correlation Coefficient

         $r=\sqrt{ b(x,y) * b(y,x) }\\r=\sqrt{ 2* \frac{2}{9} }\\\\r=\frac{2}{3}$

Conclusion:

The correlation coefficient of the given equation is $\frac{2}{3}$