X 7 4 5 3 2 10
Y 8 -7 4 5 -2 10

Round to 3 decimal places, what is the value of r for this data set?
A. 0.7061
B. 0.8121
C. 0.8723
D. 0.6119

Respuesta :

Solution: We are required to find the correlation between x and y here:

The formula for correlation is:

[tex]r=\frac{n\sum x y- \sum x \sum y}{\sqrt{[n\sum x^{2}-(\sum x)^2][n\sum y^{2}-(\sum y)^2]}}[/tex]

       [tex]=\frac{6\times 159- 31 \times 18}{\sqrt{[6 \times 203-(31)^2][6 \times 258-(18)^2]}}[/tex]

       [tex]=\frac{396}{560.8636}[/tex]

       [tex]=0.7061[/tex]

[tex]\therefore r=0.7061[/tex]

Hence the option A. 0.7061 is correct

       

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