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Coefficient of Determination and Slope

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Which of the following statements correctly describes the relationship between the coefficient of determination, R2R^2, and the estimated slope in a linear regression analysis?

A

A higher R2 R^2 indicates a larger proportion of variability in the response explained by the predictor, but does not necessarily imply a steeper slope.

B

A higher R2 R^2 always implies that the slope is large and statistically significant.

C

The R2 R^2 value and the slope estimate are redundant measures of the same relationship.

D

A lower R2 R^2 means the slope must be nearly zero.

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