Tutorial Examples of Correlation


Examples of Correlation


   



Examples:
Calculate and analyze the correlation coefficient between the number of study hours and the number of sleeping hours of different students.

Number of Study hours

2

4

6

8

10

Number of sleeping hours

10

9

8

7

6


Solution:
The necessary calculation is given below:

X

Y

2

10

-4

2

-8

16

4

4

9

-2

1

-2

4

1

6

8

0

0

0

0

0

8

7

2

-1

-2

4

1

10

6

4

-2

-8

16

1

and

There is perfect negative correlation between the number of study hours and the number of sleeping hours.

Example:
From the following data, compute the coefficient of correlation between X and Y:

X Series

Y Series

Number if Items

15

15

Arithmetic Mean

25

18

Sum of Square Deviations

136

138

Summation of products of deviations of X and Y series from their arithmetic means = 122.
Solution:
Here
and hence


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