anishabohaju
Answered

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5. If the covariance between the variables x and y is 18 and the variance
of x and y are 16 and 81 respectively. Find the coefficient of
correlation.​

Sagot :

lublana

Answer:

The coefficient of  correlation=0.5

Step-by-step explanation:

We are given that

Covariance between the variable  x and y=18

Variance of x=16

Variance of y=81

We have to find the coefficient of correlation

We know that

Coefficient of correlation

[tex]r=\frac{covariance(x,y)}{\sqrt{variance(x)}\times \sqrt{variance(y)}}[/tex]

Using the formula

[tex]r=\frac{18}{\sqrt{16}\times \sqrt{81}}[/tex]

[tex]r=\frac{18}{4\times 9}[/tex]

[tex]r=0.5[/tex]

Hence, the coefficient of  correlation=0.5

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