Mathematics, 01.11.2019 06:31 jokerr5584
Find the correlation coefficient of the line of best fit for the points (-3,-40), (1,12), (5,72), (7,137). explain how you guy your answer. use the coefficient to describe the correlation of this data.
Answers: 1
![r = \dfrac{n\sum{xy} - \sum{x} \sum{y}}{\sqrt{n\left [\sum{x}^{2}-\left (\sum{x}\right )^{2}\right]\left [\sum{y}^{2}-\left (\sum{y}\right )^{2}\right]}}](/tpl/images/0355/4398/20321.png)
![r = \dfrac{n\sum{xy} - \sum{x} \sum{y}}{\sqrt{\left [n\sum{x}^{2}-\left (\sum{x}\right )^{2}\right]\left [n\sum{y}^{2}-\left (\sum{y}\right )^{2}\right]}}\\\\= \dfrac{4\times 1451 - 10\times 181}{\sqrt{[4\times 84 - 10^{2}][4\times25697 - 181^{2}]}}\\\\= \dfrac{5804 - 1810}{\sqrt{[336 - 100][102788 - 32761]}}\\\\= \dfrac{3994}{\sqrt{236\times70027}}\\\\= \dfrac{3994}{\sqrt{16526372}}\\\\= \dfrac{3994}{4065}\\\\= \mathbf{0.9825}](/tpl/images/0355/4398/a84d3.png)
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Find the correlation coefficient of the line of best fit for the points (-3,-40), (1,12), (5,72), (7...
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