When the mean value of the dependent variable is independent of variation in the independent variable, the slope of the regression line is:

zero

Step-by-step explanation:

The optimally fitted straight line via the locations and points on a graph is determined via linear regression. You may use regression equations to see if your data can indeed be fitted into a formula. If you want to create assumptions from your data, either future forecasts or indicators of previous behavior, using the Regression equation is highly beneficial.

The regression line is expressed as:

where;

= dependent variable

a = intercept

b = slope

= independent variable

So, when is independent of the variation of , it means that does not linearly depend on . Thus, the slope of the regression will be zero.

no pictures of the graph