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

question 22

True/False

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,the alternative hypothesis H₁: At least one of ?_j ? 0 for j = 1,2,3 implies that percentage of students passing the proficiency test is related to all of the explanatory variables.

Grasp the concept of psychological diversity and its significance in psychological science.

Recognize the role of behaviorism in changing behavior through the systematic use of rewards.

Understand how to critically evaluate evolutionary hypotheses regarding gender differences in spatial abilities.

Recognize strategies employed by "test-wise" students.

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Definitions:

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Inference Conditions

Set of prerequisites that need to be met before statistical methods can be applied to make inferences about a population from a sample.

T-test

A statistical test used to compare the means of two groups and determine if they are significantly different from each other.

Inference Conditions

Inference conditions refer to the set of assumptions or criteria that must be satisfied to legitimately use certain statistical inference techniques, ensuring the results are accurate.