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

question 256

Short Answer

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, what is the p-value of the test statistic when testing whether
instructional spending per pupil has any effect on percentage of students passing the proficiency
test, taking into account the effect of mean teacher salary?

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Definitions:

Delegation

The process of assigning responsibility and authority to others to carry out specific tasks while maintaining accountability for the outcome.

Empower People

The act of granting individuals or groups more autonomy and control over their work or personal lives, often focusing on enabling them to make decisions and contribute to important processes or outcomes.

Organization Levels

Refers to the hierarchy within an organization, starting from the top with the board of directors or CEO, moving down through middle management, and reaching the operational employees at the bottom.

Centralization

The concentration of decision-making authority at the top levels of an organizational hierarchy.