In a simple linear regression model, if you found that the true regression coefficient is significantly greater than zero, then you may also conclude that the two variables are positively correlated.

Regression Coefficient

A value that represents the degree of change of a dependent variable expected from a one-unit change in an independent variable, all else being equal.

Simple Linear Regression

A statistical technique that fits a linear equation to observed data to model the connection between a dependent variable and a single independent variable.