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

1 Answer

7 votes

Answer:

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.

User Michael Geier
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