Question: If the lines of regression be $x - y = 0$ and $4x - y - 3 = 0$, and $\sigma_{x}^{2} = 1,$ then...

Question

If the lines of regression be $x - y = 0$ and $4x - y - 3 = 0$ , and $\sigma_{x}^{2} = 1,$ then the coefficient of correlation is

Answer 1

$y = x$ and $x = \frac{1}{4}y + \frac{3}{4}$ . Hence, $r = \sqrt{1.\frac{1}{4}} = 0.5$ .

Question: If the lines of regression be \(x - y = 0\) and \(4x - y - 3 = 0\), and \(\sigma_{x}^{2} = 1,\) then...