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

Yes, testing whether the slope of the population regression line could be zero is essentially testing whether there is a significant linear relationship between the response variable Y and the explanatory variable X. If the slope is zero, then there is no linear relationship between the two variables.

In a Simple Linear Regression Model, Testing Whether the Slope