Question

compute simple correlation coefficient from the following data.
X: 3,5,6,8,12,14
Y: 16,10,7,4,3,2
​

Answer 1

Answer:

Given:

The following data is given :

X-samples : 9, 8, 7, 6, 5, 4, 3, 2,1

Y-samples : 15, 16, 14, 13, 11, 12, 10, 8, 9

To Find:

We have to find the coefficient of correlation,r.

Solution:

The statistical measure of the strength of the relationship between the relative movement of two variables is known as the coefficient of correlation. The value ranges from 1 to -1.

The equation is given by,

                               

where,

r → correlation coefficient

→ values of the x variable in a sample

→ mean of the values of the x variable

→ values of the y variable in a sample

→ mean of the values of the y variable

                                 

The tabular column is shown below.

                         

Hence, the coefficient of correlation is given as 0.95