Answer
The purpose of linear regression is served by the study of the slope coefficient.
Work Step by Step
In a linear regression equation, the main purpose is to study the effect of a change in the independent variable on the dependent variable. This change is studied by the slope coefficient and not the correlation coefficient. The correlation coefficient determines the strength of the relationship between the explanatory and the explained variables. Thus, hypothesis testing is conducted on the slope coefficient to determine the significant impact of the explanatory variable on the response variable.