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Instruction 13-13
the Education Department's Regional Executive Officer Wanted to Predict

question 12

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Instruction 13-13
The education department's regional executive officer wanted to predict the percentage of students passing a Grade 6 proficiency test.She obtained the data on percentage of students passing the proficiency test (% Passing) ,daily average of the percentage of students attending class (% Attendance) ,average 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,
X1 = % Attendance,X2 = Salaries and X3 = Spending:
 Regression Statistics  Multiple R 0.7930 R Square 0.6288 Adjusted R 0.6029 Square  Standard 10.4570 Error  Observations 47\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
df SS MSF Significance F Regression 37965.082655.0324.28020.0000 Residual 434702.02109.35 Total 4612667.11\begin{array}{lrrrrr}\hline & d f & {\text { SS }} & M S & F & \text { Significance } F \\\text { Regression } & 3 & 7965.08 & 2655.03 & 24.2802 & 0.0000 \\\text { Residual } & 43 & 4702.02 & 109.35 & & \\\text { Total } & 46 & 12667.11 & & &\end{array}

 Coefficients  Standard  Error t Stat  P-value  Lower 95%  Upper 95%  Intercept 753.4225101.11497.45110.0000957.3401549.5050 % Attendance 8.50141.07717.89290.00006.329210.6735 Salary 0.0000006850.00060.00110.99910.00130.0013 Spending 0.00600.00461.28790.20470.00340.0153\begin{array}{lrrrrrrr}\hline & \text { Coefficients } & \begin{array}{c}\text { Standard } \\\text { Error }\end{array} & t \text { 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\end{array}
-Referring to Instruction 13-13,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 all the other independent variables?

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Definitions:

Government Officials

Individuals who hold positions of authority in government institutions and are responsible for implementing laws and policies.

Information

Data that has been organized or presented in a meaningful way to be useful to the recipient.

Going Public

A strategy utilized by the president or other high-profile officials to gain public support for policies by addressing the nation directly, often through the media.

Climate of Opinion

The dominant or prevailing set of attitudes, beliefs, or sentiments held by a particular group or society at a given time.

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