Question

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

Answer 1

zero

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:

`Y_i = a +bx_i`

where;

`Y_i` = dependent variable

a = intercept

b = slope

`x_i` = independent variable

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