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

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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 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?

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Definitions:

Interest Rate Risk

The risk of loss to an investor from changes in the price of a bond that arise from changes in the market interest rate. Also called price risk and maturity risk.

Maturity Risk

Maturity risk pertains to the uncertainty and potential loss associated with holding a bond or other fixed-income investment until its maturity date.

Coupon

The percentage rate of interest a bond yields annually, based on its principal amount.

Current Yield

The annual return of an investment expressed as a percentage of its current price.

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