SCENARIO 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, = Salaries and Spending:
-Referring to Scenario 14-15, which of the following is a correct statement?
A)14.57% of the total variation in the percentage of students passing the proficiency test can be explained by mean teacher salary and instructional spending per pupil.
B)14.57% of the total variation in the percentage of students passing the proficiency test can be explained by mean teacher salary and instructional spending per pupil after Adjusting for the number of predictors and sample size.
C)14.57% of the total variation in the percentage of students passing the proficiency test can be explained by mean teacher salary holding constant the effect of instructional Spending per pupil.
D)14.57% of the total variation in the percentage of students passing the proficiency test can be explained by instructional spending per pupil holding constant the effect of Mean teacher salary.

Question

SCENARIO 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,  = Salaries and  Spending:  
-Referring to Scenario 14-15, which of the following is a correct statement?
A)14.57% of the total variation in the percentage of students passing the proficiency test can be explained by mean teacher salary and instructional spending per pupil. 
B)14.57% of the total variation in the percentage of students passing the proficiency test can be explained by mean teacher salary and instructional spending per pupil after Adjusting for the number of predictors and sample size. 
C)14.57% of the total variation in the percentage of students passing the proficiency test can be explained by mean teacher salary holding constant the effect of instructional Spending per pupil. 
D)14.57% of the total variation in the percentage of students passing the proficiency test can be explained by instructional spending per pupil holding constant the effect of Mean teacher salary.

Quizplus · Accepted Answer

The adjusted R-squared value of 0.1457 indicates that 14.57% of the total variation in the percentage of students passing the proficiency test can be explained by both mean teacher salary and instructional spending per pupil after adjusting for the number of predictors and sample size. The statement "14.57% of the total variation in the percentage of students passing the proficiency test can be explained by mean teacher salary and instructional spending per pupil after adjusting for the number of predictors and sample size" is correct because it takes into account the fact that the R-squared value in the regression output is adjusted for the number of predictors and sample size. This means that the 14.57% of variation explained by the model is not just due to chance but is a statistically significant amount.

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