Question

If the slope of a regression line is zero, the orientation of the regression line is _________, which indicates a lack of a relationship.

Answer 1

If the slope of regression line is 0, the orientation of regression line is horizontal which indicates lack of relationship.

Reason -

Equation of regression line is -

Y = a + bX

Where, a - intercept & b - slope

If value of slope is equal to 0, then regression equation becomes -

Y = a

It means that for any value of X, value of Y remains same & which is equal to intercept value.

If we draw a scatter plot, then it will show a horizontal line.

Hence, if the slope of regression line is 0 then orientation of regression line is horizontal which indicates lack of relationship.