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In a simple regression the coefficient of correlation is the square root of the coefficient of determination.

a. true
b. false

1 Answer

5 votes

Final answer:

The statement in the question is false. The coefficient of correlation, r, is equal to the square root of the coefficient of determination, r², not the other way around.

Step-by-step explanation:

The statement in the question is false. The coefficient of correlation, r, is equal to the square root of the coefficient of determination, r², not the other way around.

The coefficient of determination represents the percentage of variation in the dependent variable that can be explained by the variation in the independent variable using the regression line.

For example, if the coefficient of determination is 0.25, it means that 25% of the variation in the dependent variable can be explained by the variation in the independent variable.

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