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

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07-06-2021
Mathematics

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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:________

Sagot :

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ajeigbeibraheem ajeigbeibraheem · Answer 1 · 2021-06-07T22:33:21-04:00

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:

[tex]Y_i = a +bx_i[/tex]

where;

[tex]Y_i[/tex] = dependent variable

a = intercept

b = slope

[tex]x_i[/tex] = independent variable

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

Sagot :

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