Instruction 13 -Referring to Instruction 13

question 74

Short Answer

Instruction 13.10
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:
$\begin{array}{|l|r|}\hline\text { Regression } & \text { Statistics } \\\hline \text { Multiple R } & 0.7930 \\\hline \text { R Square } & 0.6288 \\\hline \text { Adj. R Square } & 0.602 \\\hline \text { Standard } & \\\text { Error } & 10.4570 \\\hline \text { Observations } & 47\\\hline\end{array}$

$\begin{array}{|l|r|r|r|r|r|}\hline \text { ANOVA } & & & & \\\hline & \text { d } & \text { SS } & \text { MS } & \text { F } & \text { Signif F } \\\hline \text { Regression } & 3 & 7965.08 & 2655.03 & 24.2802 & 0.0000 \\\hline \text { Residual } & 43 & 4702.02 & 109.35 & & \\\hline \text { Total } & 46 & 12667.11 & & & \\\hline\end{array}$


$\begin{array}{|l|r|r|r|r|r|r|} \hline & \text { Coeff } & \text { StolFrro } & \text { tSta } & \text { p-va/ue } & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & -753.4225 & 101.1149 & -7.4511 & 0.0000 & -957.3401 & -549.5050 \\\hline \text { \% Attendance } & 8.5014 & 1.0771 & 7.8929 & 0.0000 & 6.3292 & 10.6735 \\\hline \text { Salary } & 0.000000685 & 0.0006 & 0.0011 & 0.9991 & -0.0013 & 0.0013 \\\hline \text { Spending } & 0.0060 & 0.0046 & 1.2879 & 0.2047 & -0.0034 & 0.0153 \\\hline\end{array}$
-Referring to Instruction 13.10,estimate the mean percentage of students passing the proficiency test for all the schools that have a daily mean of 95% of students attending class,a mean teacher salary of 40,000 dollars and an instructional spending per pupil of 2,000 dollars.

---

Definitions:

Structure

An arrangement or organization of parts, elements, or constituents that form a complex system.

Media Industry

The sector of the economy that produces and distributes media products and services, including television, film, music, books, and online content.

Mediated

This refers to communication or information that is conveyed through an intermediary medium, such as television, radio, or the internet, rather than direct, face-to-face.

Society

A group of individuals involved in persistent social interaction, or a large social grouping sharing the same geographical or social territory, typically subject to the same political authority and dominant cultural expectations.