r = correlation coefficient
[tex] r = \frac{Sxy}{\sqrt{Sxx * Syy}} [/tex]
If: Sxx = 10, Syy = 40, Sxy = 10, then:
[tex] r = \frac{10}{\sqrt{10 * 40}} \\\\ = \frac{10}{\sqrt{400}} \\\\ = \frac{10}{20} \\\\ = \frac{1}{2} [/tex]
The pearson correlation coefficient for the given data is;
0.5
We are given;
n = 5 pairs
SS_x = 10
SS_y = 40
S_p = 10
Formula for pearson correlation coefficient is;
Pearson Correlation Coefficient = S_p/√(SS_x × SS_y)
Pearson Correlation Coefficient = 10/√(10 × 40)
⇒ 10/√(400)
⇒ 10/20
⇒ 0.5
Read more about pearson correlation coefficient at; https://brainly.com/question/4210171
