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As more predictors are added to the model, the coefficient of

*multiple*determination (R^2) will increase, so the model with 5 predicator variables will have a higher R^2.

**The**"

*partial*F-test for the coefficients of the 2 additional predictor variables (H_o: β_4=β_5=0) is equivalent to testing that the increase in R^2 is statistically signifcant.I don't understand the bolded sentence. Why are they equivalent?

Thanks for explaining!