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Apr 24th, 2019
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  1. \bagin{equation}
  2. \bar{x} = \frac{1}{8} * (5 + 10 + 15 + 20 + 30 + 50 + 80 + 100) ~ 38.75
  3. \end{equation}
  4.  
  5. \begin{equation}
  6. \bar{y} = \frac{1}{8} * (3 + 8 + 12 + 22 + 25 + 55 + 80 + 90) ~ 36.875
  7. \end{equation}
  8.  
  9. \begin{equation}
  10. r_x_y = \frac{(5 - 38.75)(3 - 36.875) + (10 - 38.75)(8 - 36.875) + (15 - 38.75)(12 - 36.875) + (20 - 38.75)(22 - 36.875) + (30 - 38.75)(25 - 36.875) + (50 - 38.75)(55 - 36.875) + (80 - 38.75)(80 - 36.875) + (100 - 38.75)(90 - 36.875)}{\sqrt{(5 - 38.75)^2 + (10 - 38.75)^2 + (15 - 38.75)^2 + (20 - 38.75)^2 + (30 - 38.75)^2 + (50 - 38.75)^2 + (80 - 38.75)^2 + (100 - 38.75)^2}\sqrt{(3 - 36.875)^2 + (8 - 36.875)^2 + (12 - 36.875)^2 + (22 - 36.875)^2 + (25 - 36.875)^2 + (55 - 36.875)^2 + (80 - 36.875)^2 + (90 - 36.875)^2}} = \frac{8183.75}{89.29 * 92.39} = 0.99
  11. \end{equation}
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