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

question 246

Multiple Choice

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, $X _ { 1 } =$
Salaries and $X _ { 2 } =$ Spending:

$\begin{array}{lr}\hline {\text { Regression Statistics }} \\\hline \text { Multiple R } & 0.4276 \\\text { R Square } & 0.1828 \\\text { Adjusted R Square } & 0.1457 \\\text { Standard Error } & 5.7351 \\\text { Observations } & 47 \\\hline\end{array}$

ANOVA


$\begin{array}{lrrrrrr}\hline & \text { Coefficients } & \text { Standard Error } & \text { t Stat } & \rho \text {-value } & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & -72.9916 & 45.9106 & -1.5899 & 0.1190 & -165.5184 & 19.5352 \\\text { Salary } & 2.7939 & 0.8974 & 3.1133 & 0.0032 & 0.9853 & 4.6025 \\\text { Spending } & 0.3742 & 0.9782 & 0.3825 & 0.7039 & -1.5972 & 2.3455 \\\hline\end{array}$

-Referring to Scenario 14-15, which of the following is a correct statement?

• A) 18.26% 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) 18.26% 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) 18.26% 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) 18.26% 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.

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Definitions:

Payee

The party in a financial transaction who receives the payment.

Unconditional Promise

A firm commitment or guarantee without any stipulations or requirements for its fulfillment.

Delegator

A party in a contract who transfers his or her duties to perform to a third party who is not part of the original contract (a delegatee).

Endorsement

The act of signing the back of a financial document or negotiable instrument, thereby transferring rights or authorizing actions related to the document.