SCENARIO 17-8
the Superintendent of a School District Wanted to Predict

SCENARIO 17-8
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:

$\begin{array}{lr}\hline{\text { Regression Statistics }} \\\hline \text { Multiple R } & 0.7930 \\\text { R Square } & 0.6288 \\\text { Adjusted R } & 0.6029 \\\text { Square } & \\\text { Standard } & 10.4570 \\\text { Error } & \\\text { Observations } & 47 \\\hline\end{array}$

ANOVA


$\begin{array}{lrrrrrr}\hline & \text { Coefficients } & \begin{array}{c}\text { Standard } \\\text { Error }\end{array} & \text { t Stat } & \text { P-value } & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & -753.4225 & 101.1149 & -7.4511 & 0.0000 & -957.3401 & -549.5050 \\\text { \% Attendance } & 8.5014 & 1.0771 & 7.8929 & 0.0000 & 6.3292 & 10.6735 \\\text { Salary } & 0.000000685 & 0.0006 & 0.0011 & 0.9991 & -0.0013 & 0.0013 \\\text { Spending } & 0.0060 & 0.0046 & 1.2879 & 0.2047 & -0.0034 & 0.0153 \\\hline\end{array}$
-Referring to Scenario 17-8, which of the following is a correct statement?

A) 62.88% of the total variation in the percentage of students passing the proficiency test can be explained by daily mean of the percentage of students attending class, mean teacher
Salary, and instructional spending per pupil.
B) 62.88% of the total variation in the percentage of students passing the proficiency test can be explained by daily mean of the percentage of students attending class, mean teacher
Salary, and instructional spending per pupil after adjusting for the number of predictors
And sample size.
C) 62.88% of the total variation in the percentage of students passing the proficiency test can be explained by daily mean of the percentage of students attending class holding constant
The effect of mean teacher salary, and instructional spending per pupil.
D) 62.88% of the total variation in the percentage of students passing the proficiency test can be explained by daily mean of the percentage of students attending class after adjusting
For the effect of mean teacher salary, and instructional spending per pupil.

Correct Answer:

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