APFIVE Coefficient of Determination and Slope
Which of the following statements correctly describes the relationship between the coefficient of determination, $$R^2$$, and the estimated slope in a linear regression analysis?
A
A lower $$ R^2 $$ means the slope must be nearly zero.
B
A higher $$ R^2 $$ always implies that the slope is large and statistically significant.
C
The $$ R^2 $$ value and the slope estimate are redundant measures of the same relationship.
D
A higher $$ R^2 $$ indicates a larger proportion of variability in the response explained by the predictor, but does not necessarily imply a steeper slope.
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