t Test for the Slope and the Correlation Coefficient
Key Questions

Answer:
The slope is nothing but the regression coefficient. The conclusion is that the concerned variable characteristics are not linearly related or the regression line is not of "best fit"
Explanation:
I have modified the question as follows:
What do we conclude when the null hypothesis regarding the slope of the regression equation is rejected:
Rejecting the null hypothesis implies the regression line is not a good fit.