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

question 177

Multiple Choice

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:
$\begin{array}{lr}\hline {\text { Regression Statistics }} \\\hline \text { Multiple R } & 0.7930 \\\text { R Square } & 0.6288 \\\text { Adjusted R } & 0.6029 \\\text { Square } & \\\text { Standard } & 10.4570 \\\text { Error } & \\\text { Observations } & 47\end{array}$
ANOVA
$\begin{array}{lrrrrr} & \text { df } &{\text { SS }} & \text { MS } & F&\text { Significance F } \\\hline \text { Regression } & 3 & 7965.08 & 2655.03 & 24.2802 & 0.0000 \\\text { Residual } & 43 & 4702.02 & 109.35 & & \\\text { Total } & 46 & 12667.11 & & &\end{array}$

$\begin{array}{lrrrrrr} & \text { Coefficients } & \begin{array}{c}\text { Standard } \\\text { Error }\end{array} & t \text { Stat } & \text { P-value } & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & -753.4225 & 101.1149 & -7.4511 & 0.0000 & -957.3401 & -549.5050 \\\text { \% Attendance } & 8.5014 & 1.0771 & 7.8929 & 0.0000 & 6.3292 & 10.6735 \\\text { Salary } & 0.000000685 & 0.0006 & 0.0011 & 0.9991 & -0.0013 & 0.0013 \\\text { Spending } & 0.0060 & 0.0046 & 1.2879 & 0.2047 & -0.0034 & 0.0153\end{array}$
-Referring to Instruction 13-13,which of the following is the correct alternative hypothesis to determine whether there is a significant relationship between percentage of students passing the proficiency test and the entire set of explanatory variables?

• A)H₁: At least one of ?_j ? 0 for j = 1,2,3
• B)H₁: ?₁ = ?₂ = ?₃ ? 0
• C)H₁: At least one of ?_j ? 0 for j = 0,1,2,3
• D)H₁: ?₀ = ?₁ = ?₂ = ?₃ ? 0

Understand the purpose and application of a PERT diagram.

Comprehend the functionality and benefits of using Gantt charts for project management.

Recognize the importance and variety of benchmarks in business performance evaluation.

Identify and differentiate between quality control and other performance measurement practices.

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Definitions:

SAT Exam

A standardized test widely used for college admissions in the United States, assessing reading, writing and language, and mathematics skills.

Grade Point Average

The average result of all the grades achieved throughout a course, calculated by assigning a numerical value to each grade and then averaging these values.

Preliminary Sums

The initial totals computed from a data set, often used in further statistical analysis.

Cross-Products

The product of elements diagonally opposite each other when considering the multiplication of two matrices or arrays, or in vectors, it refers to the vector product of two vectors.