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

question 115

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 alternative hypothesis to test 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? a) $H _ { 1 } : \beta _ { 0 } \neq 0$
b) $H _ { 1 } : \beta _ { 1 } \neq 0$
c) $H _ { 1 } : \beta _ { 2 } \neq 0$
d) $H _ { 1 } : \beta _ { 3 } \neq 0$

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Definitions:

One Quarter

A term referring to one-fourth of a year, used in financial and business contexts to divide the fiscal or calendar year into four periods for reporting purposes.

One Year

A period consisting of 12 consecutive months.

Unearned Revenue

An accounting term referring to money received for a product or service yet to be delivered or performed.

Customers Pay

This term refers to the action of clients or buyers giving money in exchange for goods or services.