Question

What is the correlation coefficient with the following data points: (15,36), (13,22), (12,6), (11,20)?

A.0.75

B.-0.75

C.0.65

D.-0.65

Answer 1

The correct answer Is B ! i did a study on this before

Explanation:

Answer 2

Answer with Step-by-step explanation:

The formula for correlation coefficient is:

`\frac{\sum xy-((\sum x\sum y))/(n)}{\sqrt{(\sum x^2-((\sum x)^2)/(n))(\sum y^2-((\sum y)^2)/(n))}}`

x y x² y² xy

15 36 225 1296 540

13 22 169 484 286

12 6 144 36 72

11 20 121 400 220

∑ 51 84 659 2216 1118

Correlation coefficient=

`\frac{1118-(51* 84)/(4) }{\sqrt{(659-(51* 51)/(4))(2216-(84* 84)/(4) ) } } \\\\=(47)/(√(8.75* 452) ) \\\\=(47)/(√(3955) )\\ \\=0.75`

Hence, correct option is:

A. 0.75