ct (x2). The results of the regression are : y^= 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 y^= 12.25 + 6.05(x1 + x2); n = 25; SSE = 600. Requirement: 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.
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 :
y^= 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
y^= 12.25 + 6.05(x1 + x2); n = 25; SSE = 600.
Requirement:
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?
Please if can, provide it in excel/spreadsheet
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