# Linear Regression and finding Correlation Coefficient

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.

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

The relation $$\hat \beta = \frac{rS_y}{S_x}$$ implies that $0.2 = 4r$ and therefore $r = 0.05$.