Skip to content
We use only essential cookies to keep you signed in and remember your preferences. See our Cookie Policy.
TestStop
MocksPracticeResourcesIndiaBlogPricing
Sign in
Questions › CUET-PG › CUET-PG 2023 Shift 2 › Q68
4 marks, −1Econometrics › Goodness of fit and model selection › R-squared and the coefficient of determinationEasyabout 1 min

CUET-PG 2023 Shift 2 Question 68: Goodness of fit and model selection

Suppose the correlation coefficient between two variables X and Y is 0.6, what proportion of variation in Y is explained by variation in X?

Tap an option to check your answer.

Answer and worked solution

Checking your account…

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…
Take this paper as a timed mockMore on R-squared and the coefficient of determination

Similar questions from other papers

  • CUET-PG 2025 · Q62Coefficient of determination measures (A) correlation between the dependent and independent variables. (B) the residual sum of squares as a proportion of the total sum…
  • GATE 2025 · Q49Consider a two-variables (x,y) linear regression model y = α + β x + ε where α and β are the parameters, and ε is the error term. The parameters are estimated using the…
  • IIT JAM 2025 · Q15In the context where sample mean of the dependent variable (Ȳ) lies closer to the observed Yᵢ than its least square predictor (Ŷᵢ),.
  • UGC-NET 2025 · Q74The Coefficient of Determination (R²): A. is an increasing function of the number of regressors B. is a decreasing function of the number of regressors C. is unaffected…
  • IIT JAM 2024 · Q53A regression equation Y = -2.5 + 2X is estimated using Y = 2, 5, 9, 14 and X = 2, 4, 6, 8. The coefficient of determination is (rounded off to two decimal places).

Question from the CUET-PG 2023 Shift 2 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.