Solved

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

Question 92

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 (x1in $1,000s),and an index of socioeconomic status of the district (x2).The results of the regression are 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 (x<sub>1</sub>in $1,000s),and an index of socioeconomic status of the district (x<sub>2</sub>).The results of the regression are = 10.16 + 8.50x<sub>1</sub> + 4.30x<sub>2</sub>;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 β<sub>1</sub> ≠ β<sub>2</sub>.The results of the restricted model for this test are = 12.25 + 6.05(x<sub>1</sub> + x<sub>2</sub>);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? = 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 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 (x<sub>1</sub>in $1,000s),and an index of socioeconomic status of the district (x<sub>2</sub>).The results of the regression are = 10.16 + 8.50x<sub>1</sub> + 4.30x<sub>2</sub>;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 β<sub>1</sub> ≠ β<sub>2</sub>.The results of the restricted model for this test are = 12.25 + 6.05(x<sub>1</sub> + x<sub>2</sub>);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? = 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?

Correct Answer:

verifed

Verified

To test if the influence of explanatory ...

View Answer

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions

Q8: In regression, the predicted values concerning y

Q32: Which of the following violates the assumptions

Q87: The accompanying table shows the regression results

Q88: The accompanying table shows the regression results

Q89: A real estate analyst believes that the

Q91: A researcher analyzes the factors that may

Q94: Refer to the portion of regression results

Q95: Tiffany & Co.has been the world's premier

Q96: A researcher analyzes the factors that may

Q112: Which of the following can be used