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.
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