Correlation Formula
[tex]\text{r = }\frac{n(\Sigma xy)\text{ - (}\Sigma x)(\Sigma y)}{\sqrt[]{\mleft\lbrace n\Sigma x^2_{}-(\Sigma x^2)\mright]\mleft\lbrace n\Sigma y^2-(\Sigma y^2)\}\mright?}}[/tex]
Correlation value
[tex]r\text{ = }\frac{6(2380)\text{ - 25(574)}}{\sqrt[]{\mleft\lbrace \mright?}6(135)-(25)^2\}\mleft\lbrace6(\text{ 54948 }\mright)-(574)^2}[/tex][tex]r\text{ = }\frac{14280-14350}{\sqrt[]{(185)(212}}[/tex][tex]\begin{gathered} r\text{ = }\frac{-70}{198.04} \\ r\text{ = -0.3535} \end{gathered}[/tex]
Hence the value of r = -0.4 (nearest tenth)
