Pearson r

1. Pearson Product
Moment Coefficient
Correlation (r)

2. Pearson Product Moment Coefficient Correlation
Is an index of relationship between
two variables. The independent
variable can be represented by x while
the dependent variable can be
represented by y.

3. Pearson Product Moment Coefficient Correlation
Formula

4. The following are the midterm and final examination scores
of the 10 students in Mathematics. Compute for (r).
Midterm(x) Finals(y)
75 80
70 75
65 65
90 95
85 90
85 85
80 90
70 75
65 70
90 90

5. Statement of the Problem
Is there a significant relationship on the midterm
and final examination scores among the 10 students
in Mathematics?
Hypothesis
There is no significant relationship on the midterm
and final examination scores among the 10 students
in Mathematics.

6. Level of Significance
0.05 level of significance

7. Steps in computing for (r)
1. Open a new browser.
2. Search this website.
https://www.socscistatistics.com/

8. 2. Search this website. https://www.socscistatistics.com/
3. Click “Calculators”

9. 4. Once this screen will appear, scroll down and look for
pearson coefficient correlation calculator and click it.

10. 4. Once this screen will appear, click
“Take me to the calculator!” box

11. 5. Once this screen will appear, Encode your data

12. 6. Recheck if the encoded data were correct and click
“Calculate R” box.

13. Computed r results

14. 7. On the lower screen will appear like this. Get the r
value. Then click “Click here to calculate p-value.

15. 7. Once this screen will appear , Encode the r value or
score and the N.

16. 7. Once this screen will appear , Encode the r value or
score and the N. Then click “Calculate” box.

17. 7. Once this screen will appear , Encode the r value or
score and the N.

18. The computed r-value of 0.9493 or 0.949 (P-
value:0.0000) is lower than the critical p-value 0.05
level of significance. This means that there is
significant relationship on the midterm and finals
examination scores among 10 students in
Mathematics. Thus, the null hypothesis is rejected.
Computed (r) P-value Decision
0.949 0.000 Significant

19. Performance Task

20. The following are the midterm and final examination scores of the 12
students in Mathematics. Compute for (r).
Midterm(x) Finals(y)
20 25
30 35
10 25
15 25
20 20
10 20
18 22
14 20
15 20
20 15
18 30
15 10

21. Statement of the Problem
Is there a significant relationship on the midterm
and final examination scores among the 12 students
in Mathematics?
Hypothesis
There is no significant relationship on the midterm
and final examination scores among the 12 students
in Mathematics.

24. The computed r-value of 0.4666 or 0.467 (P-
value:0.1262) is higher than the p-critical value of 0.05
level of significance. This means that there no
significant relationship on the midterm and finals
examination scores among 12 students in
Mathematics. Thus, the null hypothesis is accepted.
Computed (r) P-value Decision
0.4666 0.1262 Not Significant

25. Outputs Format

26. Statement of the Problem
Is there a significant relationship on the midterm
and final examination scores among the 10 students
in Mathematics?
Hypothesis
There is no significant relationship on the midterm
and final examination scores among the 10 students
in Mathematics.

27. The computed r-value of 0.9493 or 0.949 (P-
value:0.0000) is lower than the critical p-value 0.05
level of significance. This means that there is
significant relationship on the midterm and finals
examination scores among 10 students in
Mathematics. Thus, the null hypothesis is rejected.
Computed (r) Computed P-value Decision
0.9493 0.0000 Significant
Test Correlation Table

28. Screenshots for computed r-value

29. Screenshot of computed p-value