R-squared Q&A
The coefficient of determination (denoted by R2) - (correct answer)is a key output of
regression analysis. It is interpreted as the proportion of the variance in the dependent
variable that is predictable from the independent variable.
- (correct answer)The coefficient of determination is the square of the correlation (r)
between predicted y scores and actual y scores; thus, it ranges from 0 to 1.
- (correct answer)With linear regression, the coefficient of determination is also equal to
the square of the correlation between x and y scores.
- (correct answer)An R2 of 0 means that the dependent variable cannot be predicted
from the independent variable.
- (correct answer)An R2 of 1 means the dependent variable can be predicted without
error from the independent variable.
- (correct answer)An R2 between 0 and 1 indicates the extent to which the dependent
variable is predictable. An R2 of 0.10 means that 10 percent of the variance in Y is
predictable from X; an R2 of 0.20 means that 20 percent is predictable; and so on.
The coefficient of determination (denoted by R2) - (correct answer)is a key output of
regression analysis. It is interpreted as the proportion of the variance in the dependent
variable that is predictable from the independent variable.
- (correct answer)The coefficient of determination is the square of the correlation (r)
between predicted y scores and actual y scores; thus, it ranges from 0 to 1.
- (correct answer)With linear regression, the coefficient of determination is also equal to
the square of the correlation between x and y scores.
- (correct answer)An R2 of 0 means that the dependent variable cannot be predicted
from the independent variable.
- (correct answer)An R2 of 1 means the dependent variable can be predicted without
error from the independent variable.
- (correct answer)An R2 between 0 and 1 indicates the extent to which the dependent
variable is predictable. An R2 of 0.10 means that 10 percent of the variance in Y is
predictable from X; an R2 of 0.20 means that 20 percent is predictable; and so on.
