# linear regression

I am reading a paper and come across the following information:

 Predictor    Dependent Variable    R Square    Beta    P
A                D                .12      .35   <0.05
B                D                .16      .40   <0.05
C                D                .13      .36   <0.05


Authors are using linear regression to compute the correlation between A and D, B and D and C and D, and they claim there is significant positive correlations between each and every one of them. I am confused and do not understand how can the authors draw such a conclusion with the presented data?

• My answer already explains how the correlations were concluded to be significantly different from 0 (that they're positive comes from the sign of the estimate of $\beta$). That covers the claim. That has nothing to do with concluding the correlation is strong, which was not mentioned in your statement of what they claimed. It's not clear to me where the difficulty lies. – Glen_b -Reinstate Monica Nov 16 '14 at 3:02