Answer with Step-by-step explanation:
The formula for correlation coefficient is:
[tex]\dfrac{\sum xy-\dfrac{(\sum x\sum y)}{n}}{\sqrt{(\sum x^2-\dfrac{(\sum x)^2}{n})(\sum y^2-\dfrac{(\sum y)^2}{n})}}[/tex]
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=
[tex]\dfrac{1118-\dfrac{51\times 84}{4} }{\sqrt{(659-\dfrac{51\times 51}{4})(2216-\dfrac{84\times 84}{4} ) } } \\\\=\dfrac{47}{\sqrt{8.75\times 452} } \\\\=\dfrac{47}{\sqrt{3955} }\\ \\=0.75[/tex]
Hence, correct option is:
A. 0.75
