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 the socioeconomic status of the district (x₂). The following model is estimated: Score = β₀ + β₁Expenditures + β₂Index + ε. A portion of the regression results is shown in the accompanying table. a. Predict a district's average test score if average expenditures are $4,500 and the district's social index is 8.
B) Interpret the slope coefficient for Expenditures.
C) Calculate the standard error of the estimate.
D) Calculate and interpret the coefficient of determination.
E) Calculate the adjusted R².

Question

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 the socioeconomic status of the district (x₂). The following model is estimated: Score = β₀ + β₁Expenditures + β₂Index + ε. A portion of the regression results is shown in the accompanying table.

a. Predict a district's average test score if average expenditures are $4,500 and the district's social index is 8.
B) Interpret the slope coefficient for Expenditures.
C) Calculate the standard error of the estimate.
D) Calculate and interpret the coefficient of determination.
E) Calculate the adjusted R².

Quizplus · Accepted Answer

The Answer of 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 the socioeconomic status of the district (x₂). The following model is estimated: Score = β₀ + β₁Expenditures + β₂Index + ε. A portion of the regression results is shown in the accompanying table. a. Predict a district's average test score if average expenditures are $4,500 and the district's social index is 8. B) Interpret the slope coefficient for Expenditures. C) Calculate the standard error of the estimate. D) Calculate and interpret the coefficient of determination. E) Calculate the adjusted R².

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