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

question 2

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, you can conclude that instructional spending per
pupil has no impact on the mean percentage of students passing the proficiency test, taking into
account the effect of mean teacher salary, at a 5% level of significance using the confidence
interval estimate for $\beta _ { 2 }$ .

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Definitions:

IQ Scores

A measure of a person's cognitive abilities and potential, commonly expressed as a score derived from standardized tests designed to assess human intelligence.

Percentage

A mathematical term describing a number or ratio expressed as a fraction of 100.

Standardized Tests

Tests that are administered and scored in a consistent, or "standard," manner and are designed to measure students' comparative performance.

Normal Curve

A bell-shaped curve that represents the distribution of many types of data where most values cluster around a central region, with values tapering off as they move away from the center.