Question

What is the correlation coefficient, r, for this data?Round your answer to the nearest tenth.Submit

Answer 1

Correlation Formula

`\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?}}`

Correlation value

`r\text{ = }\frac{6(2380)\text{ - 25(574)}}{\sqrt[]{\mleft\lbrace \mright?}6(135)-(25)^2\}\mleft\lbrace6(\text{ 54948 }\mright)-(574)^2}`
`r\text{ = }\frac{14280-14350}{\sqrt[]{(185)(212}}`
`\begin{gathered} r\text{ = }(-70)/(198.04) \\ r\text{ = -0.3535} \end{gathered}`

Hence the value of r = -0.4 (nearest tenth)