Consider the following statements :
1. If the correlation coefficient `r_(xy)=0`, then the two lines of regression are parallel to each other.
2. If the correlation coefficient `r_(xy)=pm1`, then the two lines of regression are perpendicular to each other.
Which of the above statements is/are correct?

Options

A. 1 only
B. 2 only
C. Both 1 and 2
D. Neither 1 nor 2

Answer

D

Explanation

We know, `tantheta=|(1-r_(xy)^(2))/(r_(xy))|((sigma_(x).sigma_(y))/(sigma_(x)^(2).sigma_(y)^(2)))`
If `r_(xy)` is 0, then `tan theta=oo` and lines are perpendicular.
If `r_(xy)` is 1, then the lines are parallel.