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You Are Presented with the Following Output from a Regression

Question 43

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You are presented with the following output from a regression package, which reproduces the regression results of testscores on the student-teacher ratio from your textbook
Dependent Variable: TESTSCR
Method: Least Squares
Date: 07/30/06 Time: 17:44
Sample: 1 420
Included observations: 420 You are presented with the following output from a regression package, which reproduces the regression results of testscores on the student-teacher ratio from your textbook Dependent Variable: TESTSCR Method: Least Squares Date: 07/30/06 Time: 17:44 Sample: 1 420 Included observations: 420 Std. Error are homoskedasticity only standard errors. a)What is the relationship between the t-statistic on the student-teacher ratio coefficient and the F-statistic? b)Next, two explanatory variables, the percent of English learners (EL_PCT)and expenditures per student (EXPN_STU)are added. The output is listed as below. What is the relationship between the three t-statistics for the slopes and the homoskedasticity-only F-statistic now? Dependent Variable: TESTSCR Method: Least Squares Date: 07/30/06 Time: 17:55 Sample: 1 420 Included observations: 420 Std. Error are homoskedasticity only standard errors.
a)What is the relationship between the t-statistic on the student-teacher ratio coefficient and the F-statistic?
b)Next, two explanatory variables, the percent of English learners (EL_PCT)and expenditures per student (EXPN_STU)are added. The output is listed as below. What is the relationship between the three t-statistics for the slopes and the homoskedasticity-only F-statistic now?
Dependent Variable: TESTSCR
Method: Least Squares
Date: 07/30/06 Time: 17:55
Sample: 1 420
Included observations: 420 You are presented with the following output from a regression package, which reproduces the regression results of testscores on the student-teacher ratio from your textbook Dependent Variable: TESTSCR Method: Least Squares Date: 07/30/06 Time: 17:44 Sample: 1 420 Included observations: 420 Std. Error are homoskedasticity only standard errors. a)What is the relationship between the t-statistic on the student-teacher ratio coefficient and the F-statistic? b)Next, two explanatory variables, the percent of English learners (EL_PCT)and expenditures per student (EXPN_STU)are added. The output is listed as below. What is the relationship between the three t-statistics for the slopes and the homoskedasticity-only F-statistic now? Dependent Variable: TESTSCR Method: Least Squares Date: 07/30/06 Time: 17:55 Sample: 1 420 Included observations: 420

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(a)The F-statistic tests the null hypoth...

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