You Are Presented with the Following Output from a Regression

question 41

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

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Definitions:

School Records

Official documents and files that contain a history of a student's academic performance, attendance, and sometimes behavior at school.

Single-parent Households

Family units consisting of one parent living with his or her children, emphasizing the parent's sole caretaking role.

Two Parents

The term "two parents" refers to a family structure comprising two individuals who are the primary caregivers and guardians of their child or children.

Cultural Reciprocity

A practice in which there is an exchange of cultural viewpoints and insights, often aimed at achieving better understanding and cooperation among different cultural groups.