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I am wondering if there is a table or some reference that explains the strength of the beta coefficient.

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It depends of the phenomenon that you are studying. If you can tell me more about your regression, I could try to interpret it.

By the way, you should do a t-test, to check if your beta is statistically different from zero. You could check this link to understand what I'm talking about: http://en.wikipedia.org/wiki/Student%27s_t-test.

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Any book on regression will explain the $\beta$ coefficient.

$\beta$ refers to the standardized coefficient. It is a measure of how much the dependent variable changes when the independent variable changes by 1 standard deviation. (But see comment below about econometrics).

Is it strong? That is context-dependent. If you tell us the context, someone here may be able to answer.

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    $\begingroup$ In econometrics $\beta$ refers to a coefficient, standardized or not. $\endgroup$ – Aksakal May 4 '14 at 14:20
  • $\begingroup$ OK, good to know. In social sciences they use $\beta$ for standardized and B for not standardized. $\endgroup$ – Peter Flom - Reinstate Monica May 4 '14 at 14:23

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