SCENARIO 17-8
the Superintendent of a School District Wanted to Predict

question 183

Short Answer

SCENARIO 17-8
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), daily mean of the percentage of students attending class (% Attendance), mean teacher
salary in dollars (Salaries), and instructional spending per pupil in dollars (Spending) of 47 schools in
the state. Following is the multiple regression output with $Y = \%$ Passing as the dependent variable, $X _ { 1 } = \%$ Attendance, $X _ { 2 } =$ Salaries and $X _ { 3 } =$ Spending:

$\begin{array}{lr}\hline{\text { Regression Statistics }} \\\hline \text { Multiple R } & 0.7930 \\\text { R Square } & 0.6288 \\\text { Adjusted R } & 0.6029 \\\text { Square } & \\\text { Standard } & 10.4570 \\\text { Error } & \\\text { Observations } & 47 \\\hline\end{array}$

ANOVA


$\begin{array}{lrrrrrr}\hline & \text { Coefficients } & \begin{array}{c}\text { Standard } \\\text { Error }\end{array} & \text { t Stat } & \text { P-value } & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & -753.4225 & 101.1149 & -7.4511 & 0.0000 & -957.3401 & -549.5050 \\\text { \% Attendance } & 8.5014 & 1.0771 & 7.8929 & 0.0000 & 6.3292 & 10.6735 \\\text { Salary } & 0.000000685 & 0.0006 & 0.0011 & 0.9991 & -0.0013 & 0.0013 \\\text { Spending } & 0.0060 & 0.0046 & 1.2879 & 0.2047 & -0.0034 & 0.0153 \\\hline\end{array}$
-Referring to Scenario 17-8, what are the lower and upper limits of the 95% confidence interval
estimate for the effect of a one dollar increase in instructional spending per pupil on the mean
percentage of students passing the proficiency test?

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Definitions:

Freudian Theory

A psychological theory developed by Sigmund Freud that emphasizes unconscious processes and childhood experiences in shaping personality and behavior.

Male And Female Development

The biological and psychological processes that contribute to the formation of gender-specific attributes, behaviors, and roles in individuals.

Falsifiability

A principle that a scientific hypothesis must be capable of being proven false, to be considered scientifically valid.

Psychodynamic Theories

A group of theories in psychology that emphasize the influence of the unconscious mind and childhood experiences on behavior.