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The value of the sum of squares for regression, SSR, can never be smaller than 1.Group of answer choicesTrueFalse

Question

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Solution

Answer

The statement "The value of the sum of squares for regression, SSR, can never be smaller than 1" is False.

Explanation

  1. Definition of SSR: SSR measures the variation explained by the regression model. It can take any non-negative value since it is calculated from the squared differences between the predicted values and the mean of the dependent variable.

  2. Possible Values: If the regression model does not account for any variability (meaning the model's predictions are not better than simply using the mean), SSR could be 0. Hence, SSR can definitely be less than 1.

Conclusion

SSR can take values from 0 to potentially any positive number, thus it can be smaller than 1. Therefore, the answer is False.

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