Suppose your multiple regression output summary from computerized software indic

Question

Suppose your multiple regression output summary from computerized software indicated that there was a significant association between your outcome and response variables while controlling for the effects of two different co-variables. However, your R2 calculation was only 11.5%. What can be interpreted from the results?

A. Only 12.5% of the variation in your response variable can be explained by your model. This may mean that your model fits your data very well, and careful consideration may need to be made prior to extrapolation of your results.

B. Only 11.5% of the variation in your response variable can be explained by your model. This may mean that your model fits your data very well, and careful consideration may need to be made prior to extrapolation of your results.

C. Only 11.5% of the variation in your response variable can be explained by your model. This may mean that your model does not fit your data very well, and careful consideration may need to be made prior to extrapolation of your results.

D. 11.5% of the variation in your response variable cannot be explained by your model. This may mean that your model does not fit your data very well, and careful consideration may need to be made prior to extrapolation of your results.

Explanation / Answer

Coefficient of determination

R2 =11.5%

Only 11.5% of the variation in your response variable can be explained by your model. This may mean that your model does not fit your data very well, and careful consideration may need to be made prior to extrapolation of your results.

Option C is correct

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