TABLE 14-15
The superintendent of a school district wanted to predict the percentage of students passing a sixth-grade proficiency test.She obtained the data on percentage of students passing the proficiency test (% Passing),mean teacher salary in thousands of dollars (Salaries),and instructional spending per pupil in thousands of dollars (Spending)of 47 schools in the state.
Following is the multiple regression output with Y = % Passing as the dependent variable,X₁= Salaries and X₂ = Spending:
-True or False: Referring to Table 14-15,the alternative hypothesis H₁: At least one of β_j ≠ 0 for j = 1,2 implies that percentage of students passing the proficiency test is related to at least one of the explanatory variables.

Question

TABLE 14-15
The superintendent of a school district wanted to predict the percentage of students passing a sixth-grade proficiency test.She obtained the data on percentage of students passing the proficiency test (% Passing),mean teacher salary in thousands of dollars (Salaries),and instructional spending per pupil in thousands of dollars (Spending)of 47 schools in the state.
Following is the multiple regression output with Y = % Passing as the dependent variable,X₁= Salaries and X₂ = Spending:

-True or False: Referring to Table 14-15,the alternative hypothesis H₁: At least one of β_j ≠ 0 for j = 1,2 implies that percentage of students passing the proficiency test is related to at least one of the explanatory variables.

Quizplus · Accepted Answer

The alternative hypothesis states that at least one of the regression coefficients (βj) is not equal to zero, which means that there is a relationship between the dependent variable and at least one of the explanatory variables. Therefore, the statement is true.

TABLE 14-15 the Superintendent of a School District Wanted to Predict the Predict