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Suppose we are fitting a model with Y = Income and X = Age. We are testing whether there is a U shaped effect by

Suppose we are fitting a model with Y = Income and X = Age. We are testing whether there is a U shaped effect by looking at how the R2 changes when we incorporate Age * Age as an additional variable in our model. What will happen to the R2if there is not a statistically significant U shaped effect?

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a. It might go up or down

b. It will stay the same or go down

c. It will stay the same or go up

d. It will go down

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