Question

If cov $(x,y)=3$ and ${\sigma }_x^2=1.5,{\sigma }_y^2=5.5$, then $\rho (x,y)$ equals (nearly)

• A. $\cdot 5$
• B. $\cdot 6$
• C. $\cdot 2$
• D. 1

Answer 1

Answer: (D)

1

We know that
$\rho (x,y)=\frac{cov(x,y)}{\sqrt{{\sigma }_x^2{\sigma }_y^2}}$
$\Rightarrow \rho (x,y)=\frac{3}{2.87}\approx 1$