Another coefficient mentioned in this week's readings is the coefficient of determination, r^2. What information do...

Another coefficient mentioned in this week's readings is the coefficient of determination, r^2. What information do we obtain from this coefficient?

Expert Solution

Coefficient of determination:

The coefficient of determination (denoted by R2) 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.

The coefficient of determination is the square of thecorrelation (r) between predicted y scores and actual y scores; thus, it ranges from 0 to 1.
With linear regression, the coefficient of determination is also equal to the square of the correlation between x and y scores.
An R2 of 0 means that the dependent variable cannot be predicted from the independent variable.
An R2 of 1 means the dependent variable can be predicted without error from the independent variable.
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.

milcah answered 1 year ago

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