Question

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

Answer 1

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

The formula for correlation is:

`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]}}`

`=(6* 159- 31 * 18)/(√([6 * 203-(31)^2][6 * 258-(18)^2]))`

`=(396)/(560.8636)`

`=0.7061`

`\therefore r=0.7061`

Hence the option A. 0.7061 is correct