Inference on Parameters
The concepts of hypothesis tests and confidence intervals can be applied to linear regression models. Inferences on the slope parameter is of particular interest since it determines the nature of relationship between the explanatory and the dependent variable.
The data set consists of
 explanatory variable for 's;
 dependent variable for 's.

is the standard error for the estimate of slope.
The null hypothesis
( , )

is the standard error for the estimate of intercept.
The null hypothesis
( , )