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When Will the Coefficient of Determination Decrease When a Second

Question 27

Multiple Choice

When will the coefficient of determination decrease when a second independent variable is added alongside the initial independent variable in a regression analysis?


A) when X2 predicts less variation in Y than does X1
B) when X1 predicts less variation in Y than does X2
C) when the partial slopes are drastically different from one another
D) It will not decrease; the coefficient of determination with two variables represents variation explained by X2 after X1 has been accounted for, which cannot be less than the initial r2 value.

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