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

question 382

True/False

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, the null hypothesis $H _ { 0 } : \beta _ { 1 } = \beta _ { 2 } = 0$ implies that percentage of
students passing the proficiency test is not affected by either of the explanatory variables.

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Definitions:

Geologic Map

A map that represents the rock formations and geologic features on the surface of the Earth, used by geologists to understand earth processes and history.

Terrane

A fragment of Earth's crust that has been transported and attached to a continent along a tectonic boundary.

Shear Zones

Regions of the Earth's crust where rocks have been deformed by shear stress, leading to the development of features like stretched and thinned rocks, often seen in tectonic plate boundaries.

Canadian Shield

A large geological shield, covered by a thin layer of soil, that comprises most of the eastern and central Canada and parts of the United States, characterized by ancient crystalline rocks.