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In a Simple Linear Regression $y= \alpha + \beta x + \epsilon $, we gather this information:

$S_y=20, S_x=5, \widehat{\beta} = 0.2 $

how I could find Instance Correlation Coefficient between x and y?

I ran into this problem for gathering some information in my Research.

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  • $\begingroup$ There is a relation between $r, \hat \beta, S_y, S_x$. Look it up in your course notes and use it. $\endgroup$ – Hans Engler Mar 14 '15 at 16:00
  • $\begingroup$ @HansEngler, it doesn't mentioned by this abstract note. I confused ! $\endgroup$ – user223547 Mar 14 '15 at 16:10
  • $\begingroup$ do you have a book or course notes? $\endgroup$ – Hans Engler Mar 14 '15 at 16:13
  • $\begingroup$ @HansEngler, it's wrote by hand. $\endgroup$ – user223547 Mar 14 '15 at 16:40
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The relation $$ \hat \beta = \frac{rS_y}{S_x} $$ implies that $0.2 = 4r$ and therefore $r = 0.05$.

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  • $\begingroup$ is it possible to add a bit detail?‌how u use this formula?‌I accept it/ $\endgroup$ – user223547 Mar 15 '15 at 7:36
  • $\begingroup$ ????????????????? $\endgroup$ – user223547 Mar 15 '15 at 7:57

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