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), daily mean of the percentage of students attending class (% Attendance), mean teacher salary in dollars (Salaries), and instructional spending per pupil in dollars (Spending) of 47 schools in the state.
Following is the multiple regression output with Y = % Passing as the dependent variable, X₁ = % Attendance, X₂= Salaries and X₃= Spending:

-Referring to Table 14-15, you can conclude that instructional spending per pupil has no impact on the mean percentage of students passing the proficiency test, taking into account the effect of all the other independent variables, at a 5% level of significance using the 95% confidence interval estimate for β₃.

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), daily mean of the percentage of students attending class (% Attendance), mean teacher salary in dollars (Salaries), and instructional spending per pupil in dollars (Spending) of 47 schools in the state.
Following is the multiple regression output with Y = % Passing as the dependent variable, X₁ = % Attendance, X₂= Salaries and X₃= Spending:
 
-Referring to Table 14-15, you can conclude that instructional spending per pupil has no impact on the mean percentage of students passing the proficiency test, taking into account the effect of all the other independent variables, at a 5% level of significance using the 95% confidence interval estimate for β₃.

Quizplus · Accepted Answer

The p-value for the variable Spending is 0.201, which is greater than the significance level of 0.05. Therefore, we fail to reject the null hypothesis that the coefficient for Spending is equal to zero. This means that instructional spending per pupil has no significant impact on the percentage of students passing the proficiency test when taking into account the effects of the other independent variables. Furthermore, the 95% confidence interval for β₃ (-5.38, 2.41) contains zero, which further supports the conclusion that instructional spending per pupil has no impact at a 5% level of significance.

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