Exam 7: Hypothesis Tests and Confidence Intervals in Multiple Regression
Exam 1: Economic Questions and Data17 Questions
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Exam 5: Regression With a Single Regressor: Hypothesis Tests and Confidence Intervals59 Questions
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Exam 7: Hypothesis Tests and Confidence Intervals in Multiple Regression64 Questions
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Exam 14: Introduction to Time Series Regression and Forecasting50 Questions
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The homoskedasticity only F-statistic is given by the formula
where SSRrestricted is the sum of squared residuals from the restricted regression, SSRunrestricted is the sum of squared residuals from the unrestricted regression, q is the number of restrictions under the null hypothesis, and kunrestricted is the number of regressors in the unrestricted regression. Prove that this formula is the same as the following formula based on the regression R2 of the restricted and unrestricted regression: 


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All of the following are true, with the exception of one condition:
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The homoskedasticity-only F-statistic is given by the following formula
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Consider the regression output from the following unrestricted model:
Unrestricted model:
Dependent Variable: TESTSCR
Method: Least Squares
Date: 07/31/06 Time: 17:35
Sample: 1 420
Included observations: 420
To test for the null hypothesis that neither coefficient on the percent eligible for subsidized lunch nor the coefficient on the percent on public income assistance is statistically significant, you have your statistical package plot the confidence set. Interpret the graph below and explain what it tells you about the null hypothesis. 


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