If the coefficient of determination is a positive value, then the regression equationa. must have a positive slopeb. must have a negative slopec. could have either a positive or a negative sloped. must have a positive y intercept

Question

Mathematics

Landon Harper

15 January, 21:26

If the coefficient of determination is a positive value, then the regression equationa. must have a positive slopeb. must have a negative slopec. could have either a positive or a negative sloped. must have a positive y intercept

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Answers (1)

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June Fuentes · Answer 1

The correct answer is must have a positive slope.

Step-by-step explanation:

The coefficient of determination varies between - 1 to 1. It shows the how strong is the relationship between two variables.

Coefficient closer to - 1 indicate negative relationship and that y decreases with increase in x and the regression equation has a negative slope.

Coefficient closer to 1 indicate positive relationship and that y increases with increase in x and the regression equation has a positive slope.

Coefficient closer to 0 indicate that there is no possible relationship between the variables under consideration. It is not possible to construct a particular regression equation.