SCENARIO 14-15
The superintendent of a school district wanted to predict the percentage of students passing a sixthgrade 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, X 1 = Salaries and X 2 = Spending:

-Referring to Scenario 14-15,which of the following is a correct statement?
A)The mean percentage of students passing the proficiency test is estimated to go up by 2.79% when mean teacher salary increases by one thousand dollars.
B)The mean teacher salary is estimated to go up by 2.79% when mean percentage of students passing the proficiency test increases by 1%.
C)The mean percentage of students passing the proficiency test is estimated to go up by 2.79% when mean teacher salary increases by one thousand dollars holding constant the instructional spending per pupil.
D)The mean teacher salary is estimated to go up by 2.79% when mean percentage of students passing the proficiency test increases by 1% holding constant the instructional spending per pupil.

Question

SCENARIO 14-15
The superintendent of a school district wanted to predict the percentage of students passing a sixthgrade 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, X 1 = Salaries and X 2 = Spending:

-Referring to Scenario 14-15,which of the following is a correct statement?
A)The mean percentage of students passing the proficiency test is estimated to go up by 2.79% when mean teacher salary increases by one thousand dollars. 
B)The mean teacher salary is estimated to go up by 2.79% when mean percentage of students passing the proficiency test increases by 1%. 
C)The mean percentage of students passing the proficiency test is estimated to go up by 2.79% when mean teacher salary increases by one thousand dollars holding constant the instructional spending per pupil. 
D)The mean teacher salary is estimated to go up by 2.79% when mean percentage of students passing the proficiency test increases by 1% holding constant the instructional spending per pupil.

Quizplus · Accepted Answer

From the regression output, the coefficient for Salaries (X₁) is 0.00279. This means that, holding constant instructional spending per pupil, the mean percentage of students passing the proficiency test is estimated to go up by 2.79% when mean teacher salary increases by one thousand dollars. Therefore, option C is the correct statement.

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