In a simple linear regression model,testing whether the slope of the population regression line could be zero is the same as testing whether or not the linear relationship between the response variable Y and the explanatory variable X is significant.

Question

In a simple linear regression model,testing whether the slope  of the population regression line could be zero is the same as testing whether or not the linear relationship between the response variable Y and the explanatory variable X is significant.

Quizplus · Accepted Answer

Testing for the significance of the slope is equivalent to testing for the significance of the linear relationship between the response variable Y and the explanatory variable X. A significant slope means that there is a significant linear relationship between the variables, while a non-significant slope means that there is no significant linear relationship. Therefore, the statement is true.

In a Simple Linear Regression Model,testing Whether the Slope