A Sociologist Studies the Relationship Between a District's Average Score

question 15

Essay

A sociologist studies the relationship between a district's average score on a standardized test for 10th grade students (y), the average school expenditures per student (x₁ in $1,000s), and an index of socioeconomic status of the district (x₂). The results of the regression are = 10.16 + 8.50x₁ + 4.30x₂; n = 25; SSE = 450;
He would like to determine whether the influence of expenditures on test scores differs from the influence of the index on test scores, or β₁ ≠ β₂. The results of the restricted model for this test are = 12.25 + 6.05(x₁ + x₂); n = 25; SSE = 600.
A) Formulate the hypotheses to determine whether Expenditures and Index Rate have the same influence on Scores.
B) Calculate the value of the test statistic.
C) At the 5% significance level, find the critical value(s).
D) What is the conclusion to the test?

• A) Formulate the hypotheses to determine whether Expenditures and Index Rate have the same influence on Scores.
• B) Calculate the value of the test statistic.
• C) At the 5% significance level, find the critical value(s).
• D) What is the conclusion to the test?

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Definitions:

Insensitivity

A lack of sensitivity or the inability to perceive and respond to differences or changes.

Interaction Analysis

Research that seeks to document and understand group roles and interactions among members of a group.

Group Interact

The dynamic and communication patterns observed within a group of individuals when they engage or work together.

Disambiguation

The process in content analysis of assigning a word the most appropriate meaning out of all possible meanings.