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

question 97

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

$\begin{array}{lrrrrrr}\hline & \text { Coefficients } & \begin{array}{c}\text { Standard } \\\text { Error }\end{array} & t \text { Stat } & \text { P-value } & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & -753.4225 & 101.1149 & -7.4511 & 0.0000 & -957.3401 & -549.5050 \\\text { \% Attendance } & 8.5014 & 1.0771 & 7.8929 & 0.0000 & 6.3292 & 10.6735 \\\text { Salary } & 0.000000685 & 0.0006 & 0.0011 & 0.9991 & -0.0013 & 0.0013 \\\text { Spending } & 0.0060 & 0.0046 & 1.2879 & 0.2047 & -0.0034 & 0.0153 \\\hline\end{array}$
-Referring to Instruction 13-13,which of the following is a correct statement?

• A)The daily mean of the percentage of students attending class is expected to go up by an estimated 8.50% when the percentage of students passing the proficiency test increases by 1% holding constant the effects of all the remaining independent variables.
• B)The mean percentage of students passing the proficiency test is estimated to go up by 8.50% when daily mean of percentage of students attending class increases by 1%.
• C)The daily mean of the percentage of students attending class is expected to go up by an estimated 8.50% when the percentage of students passing the proficiency test increases by 1%.
• D)The mean percentage of students passing the proficiency test is estimated to go up by 8.50% when daily mean of the percentage of students attending class increases by 1% holding constant the effects of all the remaining independent variables.

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Definitions:

Implicit Association Test

A psychological assessment that measures the strength of associations between concepts in an individual's mind, revealing unconscious biases or preferences.

Implicit

Something that is implied or understood though not directly expressed or stated.

Cognitive System

The mental processes involved in gaining knowledge and comprehension, including thinking, knowing, remembering, judging, and problem-solving.

Experiential System

Refers to the cognitive processing system based on personal experiences and emotions, contrasting with analytical reasoning.