Question

The regression equation of y on x is 4y = 9x + 15
The regression equation of x on y is 25x = 6y +7
Find the mean values of x, y and r.​

Answer 1

Answer:

the main value of X is 15

the the value of y is is 7

the main value of r is 22

Answer 2

Answer:

The correct answer of this question is $x = \frac{118}{46} . y = \frac{438}{46}$

Step-by-step explanation:

Given - The regression equation of y on x is 4y = 9x + 15 and the regression equation of x on y is 25x = 6y +7

To Find - Find the mean values of x, y and r.

$4y = 9x + 15$ and  $25x = 6y +7$

$y = \frac{9}{4} x + \frac{15}{4} and y = \frac{25}{6} x -\frac{7}{6}$

$\frac{9}{4} x + \frac{15}{4} and y= \frac{25}{6}x - \frac{7}{6}$

$\frac{9}{4} < \frac{25}{6}$

$b_{xy} = \frac{9}{4} . \frac{1}{b_{x} y} = \frac{25}{6}$

$b_{xy} = \frac{9}{4} . b_{x}y = \frac{6}{25}$

$r = \sqrt{b_{x} y}$ × $\sqrt{b_{y} x}$

= $\sqrt{\frac{6}{25} }$ × $\sqrt{\frac{9}{4} }$

= $\sqrt{90.54}$

r = ± $0.7348$

r = $0.7348 ...(b_{xy,b_{yx > 0 } }$)

So, the value of $x = \frac{118}{46} . y = \frac{438}{46}$

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