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 as the dependent variable,
-Referring to Scenario 18-8, which of the following is a correct statement?
A)The mean percentage of students passing the proficiency test is estimated to go up by 8.50% when daily average of percentage of students attending class increases by 1%.
B)The daily mean of the percentage of students attending class is expected to go up by an estimated 8.50% when the 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 8.50% when daily average of the percentage of students attending class increases by 1% holding constant the effects of all the remaining independent variables.
D)The daily mean of the percentage of students attending class is expected to go up by an estimated 8.50% when the percentage of students passing the proficiency test Increases by 1% holding constant the effects of all the remaining independent Variables.

Question

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  as the dependent variable,   
-Referring to Scenario 18-8, which of the following is a correct statement?
A)The mean percentage of students passing the proficiency test is estimated to go up by 8.50% when daily average of percentage of students attending class increases by 1%. 
B)The daily mean of the percentage of students attending class is expected to go up by an estimated 8.50% when the 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 8.50% when daily average of the percentage of students attending class increases by 1% holding constant the effects of all the remaining independent variables. 
D)The daily mean of the percentage of students attending class is expected to go up by an estimated 8.50% when the percentage of students passing the proficiency test Increases by 1% holding constant the effects of all the remaining independent Variables.

Quizplus · Accepted Answer

The regression output shows that the coefficient for % Attendance is 0.085, indicating that for every 1% increase in daily average of percentage of students attending class, the mean percentage of students passing the proficiency test is estimated to go up by 8.50%, holding constant the effects of all the remaining independent variables. Option A and Option B are incorrect as they reverse the cause and effect relationship. Option D is incorrect as it does not take into account the influence of the other independent variables. In the given multiple regression output, the coefficient of the independent variable "daily mean of the percentage of students attending class" is 0.085. This means that the mean percentage of students passing the proficiency test is estimated to go up by 8.50% when daily average of percentage of students attending class increases by 1%, holding constant the effects of all the remaining independent variables. Option C correctly states this relationship. Option A incorrectly implies a causal relationship between the dependent and independent variables. Option B incorrectly assumes a causal relationship in the reverse direction. Option D incorrectly ignores the effects of the remaining independent variables.

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