The statistical significance of changes to r2 depends on, Ask an Expert

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The statistical significance of changes to R2 depends on the number of variables added to the model. In these examples, the current regression has four explanatory variables with R2 = 0.60 and has been fit to n = 75 observations.

(a) Is an increase to R2 = 0.61 by adding one vari- able statistically significant? Why or why not?

(b) Is an increase to R2 = 0.64 by adding four vari- ables statistically significant? Why or why not?

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