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Questions › IIT JAM › IIT JAM 2025 › Q15
2 marks, −0.667Econometrics › Goodness of fit and model selection › R-squared and the coefficient of determinationHardabout 2 min

IIT JAM 2025 Question 15: Goodness of fit and model selection

In the context where sample mean of the dependent variable (Yˉ\bar{Y}Yˉ) lies closer to the observed YiY_iYi​ than its least square predictor (Y^i\hat{Y}_iY^i​), ________.

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Answer and worked solution

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Plain-text version

In the context where sample mean of the dependent variable (Ȳ) lies closer to the observed Yᵢ than its least square predictor (Ŷᵢ),. (A) the goodness of fit (R²) is negative (B) the goodness of fit (R²) is equal to 1 (C) the goodness of fit (R²) is equal to 0 (D) the goodness of fit (R²) must lie between 0 and 1

Also written as: In the context where sample mean of the dependent variable (Y_bar) lies closer to the observed Y_i than its least square predictor (Y_hat_i),.

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

What this question tests

This question is on R-squared and the coefficient of determination, part of Goodness of fit and model selection in Econometrics.

The share of variation in the dependent variable that the regression explains.

TestStop has 15 past-paper questions on this subtopic; the nearest in year are below.

  • GATE 2023 · Q63Suppose from the estimation of a linear regression model Yᵢ = β₀+β₁Xᵢ+eᵢ the residual sum of squares and the…
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Question from the IIT JAM 2025 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.