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

question 156

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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:  Regression Statistics  Multiple R 0.4276 R Square 0.1828 Adjusted R Square 0.1457 Standard Error 5.7351 Observations 47 ANOVA df SS  MS  F  Significance F Regression 2323.8284161.91424.92270.0118 Residual 441447.209432.8911 Total 461771.0378 Coefficients  Standard Error t Stat  P-value  Lower 95%  Upper 95%  Intercept 72.991645.91061.58990.1190165.518419.5352 Salary 2.79390.89743.11330.00320.98534.6025 Spending 0.37420.97820.38250.70391.59722.3455\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 the correct alternative hypothesis to test whether mean teacher salary has any effect on percentage of students passing the proficiency test, considering the effect of instructional spending per pupil? a) H1:β00H _ { 1 } : \beta _ { 0 } \neq 0
b) H1:β10H _ { 1 } : \beta _ { 1 } \neq 0
c) H1:β20H _ { 1 } : \beta _ { 2 } \neq 0
d) H1:β30H _ { 1 } : \beta _ { 3 } \neq 0

Identify and explain various selection techniques and their relevance to specific job contexts.
Understand the concept of reliability and validity in the context of selection devices.
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Understand the objectives and components of performance assessment and appraisal processes.

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Knowledge Development

The process of acquiring, creating, utilizing, and disseminating information and insights to advance understanding or expertise in a particular area.

Evolving Nature

Refers to the continuous and gradual change in characteristics of a certain entity over time, highlighting adaptability and growth.

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The state of being fully engaged and aware of one's emotions, often highlighted as a crucial aspect of empathetic and effective interpersonal communication.

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