SCENARIO 18-8 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, X 1 =% Attendance, X 2 = Salaries and X 3 = Spending: -Referring to Scenario 18-8,you can conclude that average teacher salary individually has no impact on the mean percentage of students passing the proficiency test,considering the effect of all the other independent variables,at a 10% level of significance based solely on the 95% confidence interval estimate for $\beta$₂.

Question

Quizplus · Accepted Answer

If the 95% confidence interval for the coefficient of average teacher salary (or any independent variable) includes zero, it suggests that we cannot reject the null hypothesis that the coefficient is zero at a 5% significance level. However, a 10% level of significance is less strict than a 5% level, meaning if a coefficient is not statistically significant at a 5% level, it might still be significant at a 10% level. Therefore, without specific interval values, we cannot conclude that average teacher salary has no impact at a 10% significance level based solely on the 95% confidence interval.

SCENARIO 18-8 the Superintendent of a School District Wanted to Predict

SCENARIO 18-8
the Superintendent of a School District Wanted to Predict