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Questions › IIT JAM › IIT JAM 2025 › Q31
2 marksEconometrics › Goodness of fit and model selection › Adjusted R-squared and model comparisonHardabout 3 min

IIT JAM 2025 Question 31: Goodness of fit and model selection

Which of the following statements describe(s) the relationship between R2R^2R2 and adjusted R2R^2R2 (denoted by Rˉ2\bar{R}^2Rˉ2)?

Select all that apply.

Answer and worked solution

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Plain-text version

Which of the following statements describe(s) the relationship between R² and adjusted R² (denoted by R̄²)? (A) If R²=1, then R̄²=1 (B) If R²=0, then R̄² can be negative (C) If R²=1, then R̄²=0 (D) If R²=0, then R̄²=1

Also written as: Which of the following statements describe(s) the relationship between R^2 and adjusted R^2 (denoted by R_bar^2)?

Goodness of fit and model selection has come up 27 times in 6 exams since 2009.

What this question tests

This question is on Adjusted R-squared and model comparison, part of Goodness of fit and model selection in Econometrics.

Penalising extra regressors and when R-squared can be compared across models.

TestStop has 7 past-paper questions on this subtopic; the nearest in year are below.

  • IIT JAM 2022 · Q27Which of the following is NOT correct regarding R-squared (R²) and adjusted R-squared (R̄²)?
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