You Are Presented with the Following Output from a Regression

Essay

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