how to interpret the sign of a t-value

#1
Hi,

If you did a t-test against the null hypothesis involving the beta coefficients from a multilinear regression, how would you interpet the sign of the t-value?

We usually run a t-test against the null hypothesis involving a different measure, and use the sign of the t-value to interpret whether the measure is positively/negatively correlated with another variable. However, since the beta coefficients already indicate whether the factor is positively/negatively correlated with our variable, how do you interpret the t-value sign?

Thanks,
g