Answer :
Count x y xy x^2 y^2
1 2 2 4 4 4
2 5 3 15 25 9
3 7 6 42 49 36
4 9 7 63 81 49
Sum 23 18 124 159 98
Correlation coefficient, r
[tex]r = \frac{n[sum xy] - [sum x][sum y]}{ \sqrt{[n(sum x^{2} )- (sum x)^{2}][n( sum y^{2}) -( sum y)^{2} ] } } [/tex]
Substituting;
[tex]r = \frac{4*124 - 23*18}{ \sqrt{[4*159 - 23^{2} ][4*98 - 18^{2}] } } [/tex] = 0.9613
1 2 2 4 4 4
2 5 3 15 25 9
3 7 6 42 49 36
4 9 7 63 81 49
Sum 23 18 124 159 98
Correlation coefficient, r
[tex]r = \frac{n[sum xy] - [sum x][sum y]}{ \sqrt{[n(sum x^{2} )- (sum x)^{2}][n( sum y^{2}) -( sum y)^{2} ] } } [/tex]
Substituting;
[tex]r = \frac{4*124 - 23*18}{ \sqrt{[4*159 - 23^{2} ][4*98 - 18^{2}] } } [/tex] = 0.9613