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

Answer:

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:

$Y_i = a +bx_i$

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.