customwritingtips.com

English French German Portuguese Russian Spanish
You are here Home
PDF Print E-mail

Correlation Coefficient


Key:     X represents the student anxiety scores

Y represents the study hours

 

X

Y

X2

Y2

XY

5

1

25

1

5

10

6

100

36

60

5

2

25

4

10

11

8

121

64

88

12

5

144

25

60

4

1

16

1

4

3

4

9

16

12

2

6

4

36

12

6

5

36

25

30

1

2

1

4

2

∑X = 59

∑Y = 40

∑X2 = 481

∑Y2 = 212

∑XY = 283

 


Using the deviation score formula,

r = ∑xy / √ (∑x2∑y2)

 

Therefore, r = 283/ √ (481*212)

= 283/ 101972

= 0.89


Interpretation

The correlation coefficient between the student anxiety scores and the number of study hours is 0.89. This shows that there is a positive correlation between the student anxiety scores and the number of study hours. Further, this can be interpreted as a strong positive correlation. Therefore, as the student anxiety scores increase, the number of study hours also increases.


 
Trusted Site Seal SSL Certificate Provider SSL