SCENARIO 13-15
the Superintendent of a School District Wanted to Predict

question 289

Multiple Choice

SCENARIO 13-15
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,
X1 =
Salaries and
X 2 = Spending: $$\begin{array}{l}\begin{array} { l r } \hline { \text { Regression Statistics } } \\\hline \text { Multiple R } & 0.4276 \\\text { R Square } & 0.1828 \\\text { Adjusted R Square } & 0.1457 \\\text { Standard Error } & 5.7351 \\\text { Observations } & 47 \\\hline\end{array}\\\\\text { ANOVA }\\\begin{array} { l r r r r r } \hline & d f & { \text { SS } } & { \text { MS } } & \text { F } & { \text { Significance } F } \\\hline \text { Regression } & 2 & 323.8284 & 161.9142 & 4.9227 & 0.0118 \\\text { Residual } & 44 & 1447.2094 & 32.8911 & & \\\text { Total } & 46 & 1771.0378 & & & \\\hline\end{array}\\\\\begin{array} { l r r r r r r } \hline & \text { Coefficients } & \text { Standard Error } & { t \text { Stat } } & \text { P-value } & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & - 72.9916 & 45.9106 & - 1.5899 & 0.1190 & - 165.5184 & 19.5352 \\\text { Salary } & 2.7939 & 0.8974 & 3.1133 & 0.0032 & 0.9853 & 4.6025 \\\text { Spending } & 0.3742 & 0.9782 & 0.3825 & 0.7039 & - 1.5972 & 2.3455 \\\hline\end{array}\end{array}$$
-Referring to SCENARIO 13-15, which of the following is a correct statement?

• A)18.28% of the total variation in the percentage of students passing the proficiency test can be explained by mean teacher salary and instructional spending per pupil.
• B)18.28% of the total variation in the percentage of students passing the proficiency test can be explained by mean teacher salary and instructional spending per pupil after adjusting for the number of predictors and sample size.
• C)18.28% of the total variation in the percentage of students passing the proficiency test can be explained by mean teacher salary holding constant the effect of instructional spending per pupil.
• D)18.28% of the total variation in the percentage of students passing the proficiency test can be explained by instructional spending per pupil holding constant the effect of mean teacher salary.

Recognize the effects and recovery dynamics from recessions since 1990, including factors leading to increases in national debt.

Identify key statements and policy positions of political figures regarding fiscal policy and economic growth.

Analyze the role of public works in economic stimulus and the potential for future benefits.

Understand the transition from budget surpluses to deficits, including contributing factors.

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Definitions:

Inferential Statistics

A branch of statistics that uses a sample of data to make generalizations or predictions about a larger population.

Correlation

A statistical measure that expresses the extent to which two variables change together, indicating the strength and direction of their relationship.

Descriptive Statistics

Statistical methods that summarize and organize the characteristics of a set of data in order to give a clear overview without drawing conclusions beyond the data itself.

Statistical Significance

The likelihood that a relationship between two or more variables is caused by something other than random chance.