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

question 299

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 alternative hypothesis $$H _ { 1 } : \text { At least one of } \beta _ { j } \neq 0 \text { for } j = 1,2$$ implies that percentage of students passing the proficiency test is affected by both of the
explanatory variables.

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Definitions:

Premature

Occurring or happening before the expected time, often used in medical contexts such as premature birth.

Pediatrician

A medical doctor specializing in the care and treatment of children and adolescents, addressing their physical, behavioral, and mental health issues.

Developmental Milestone

Specific skills or abilities that most children exhibit at a certain age range, marking significant progress in physical, emotional, or intellectual development.

Lifting Head

An early developmental milestone in infants, indicating neck and upper body strength, where the infant is able to lift and hold up their head independently.