Aset of n = 5 pairs of x and y values has ssx = 10, ssy = 40 and sp = 10. for these data, the pearson correlation is

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; link

r = correlation coefficient

If: Sxx = 10, Syy = 40, Sxy = 10, then:

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