Question

If the angle between the two lines of regression is $90^{o}$, then it represents

• A. Perfect correlation
• B. Perfect negative correlation
• C. No linear correlation
• D. None of these

Answer 1

Answer: (C)

No linear correlation

Answer 2

The angle between line of regression is $\theta$, then

$\tan\theta = \pm \left( \frac{1 - r^{2}}{r} \right).\left( \frac{\sigma_{x}.\sigma_{y}}{\sigma_{x}^{2} + \sigma_{y}^{2}} \right)$ , Here $\theta = 90{^\circ}$, $\therefore$ $r = 0$

∴ There is no linear correlation.