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Questions › IIT JAM › IIT JAM 2024 › Q18
2 marks, −0.667Econometrics › Linear regression and OLS › t-tests, F-tests and testing restrictionsModerateabout 2 min

IIT JAM 2024 Question 18: Linear regression and OLS

To study the effect of X1X_1X1​ and X2X_2X2​ on YYY, the model Y=α+β1X1+β2X2+εY = \alpha + \beta_1 X_1 + \beta_2 X_2 + \varepsilonY=α+β1​X1​+β2​X2​+ε is estimated on a large sample. Estimates are α=2.30\alpha=2.30α=2.30 (se=1.15se=1.15se=1.15), β1=0.39\beta_1=0.39β1​=0.39 (se=0.13se=0.13se=0.13), β2=1.80\beta_2=1.80β2​=1.80 (se=1.00se=1.00se=1.00). Which of the following is CORRECT?

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Plain-text version

To study the effect of X₁ and X₂ on Y, the model Y = α + β₁ X₁ + β₂ X₂ + ε is estimated on a large sample. Estimates are α=2.30 (se=1.15), β₁=0.39 (se=0.13), β₂=1.80 (se=1.00). Which of the following is CORRECT? (A) α significant at 1%, β₁ at 5%, β₂ at 10% (B) α significant at 1%, β₁ at 10%, β₂ at 5% (C) α significant at 5%, β₁ at 1%, β₂ at 10% (D) α significant at 5%, β₁ at 10%, β₂ at 5%

Also written as: To study the effect of X_1 and X_2 on Y, the model Y = alpha + beta_1 X_1 + beta_2 X_2 + epsilon is estimated on a large sample. Estimates are alpha=2.30 (se=1.15), beta_1=0.39 (se=0.13), beta_2=1.80 (se=1.00). Which of the following is CORRECT?

Linear regression and OLS has come up 74 times in 7 exams since 2008.

What this question tests

This question is on t-tests, F-tests and testing restrictions, part of Linear regression and OLS in Econometrics.

Testing a single coefficient, several coefficients, or a linear restriction.

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