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

question 325

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, which of the following is the correct null hypothesis to test whether mean teacher salary has any effect on percentage of students passing the proficiency test,
Taking into account the effect of instructional spending per pupil? a) $H _ { 0 } : \beta _ { 0 } = 0$
b) $H _ { 0 } : \beta _ { 1 } = 0$
c) $H _ { 0 } : \beta _ { 2 } = 0$
d) $H _ { 0 } : \beta _ { 3 } = 0$

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Definitions:

Initial Outlays

The initial investments required to start a project or purchase an asset, often including costs such as capital expenditure and working capital.

Revenue Forecasts

Predictions about the amount of money a company is expected to generate in future periods through sales or other income.

Large Projects

Significant endeavors undertaken by businesses or governments, characterized by large investment, significant complexities, and long durations, often involving infrastructure or technology.

Accounting Income

Accounting income is the net profit of a company, calculated according to generally accepted accounting principles (GAAP), and includes all revenues and expenses.