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TABLE 14-16
the Superintendent of a School District Wanted to Predict

question 50

True/False

TABLE 14-16
The superintendent of a school district wanted to predict the percentage of students passing a sixth-grade 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 0.7930R Square0.6288Adjusted R Square0.6029Standard Error 10.4570Observations 47\begin{array}{lr}\hline\text {Regression Statistics } \\\hline \text {Multiple R }& 0.7930 \\\text {R Square} & 0.6288 \\\text {Adjusted R Square} & 0.6029 \\\text {Standard Error }& 10.4570 \\\text {Observations }& 47 \\\hline\end{array}


ANOVA
 d f  SS  MS  F  Significance F Regression 37965.082655.0324.28022.3853E09 Residual434702.02109.35 Total 4612667.11\begin{array}{lccccc}\hline &\text { d f } &\text { SS }& \text { MS }& \text { F } & \text { Significance F} \\\hline \text { Regression }& 3 & 7965.08 & 2655.03 & 24.2802 & 2.3853 \mathrm{E}-09 \\\text { Residual} & 43 & 4702.02 & 109.35 & & \\\text { Total }& 46 & 12667.11 & & & \\\hline\end{array}

 Coeffs Stnd Err t Stat p -value  Lower 95% Upper 95% Intercept 753.4225101.11497.45112.88E09957.3401549.5050% Attend 8.50141.07717.89296.73E106.329210.6735 Salary6.85E070.00060.00110.99910.00130.0013 Spending 0.00600.00461.28790.20470.00340.0153\begin{array}{lrrrrrr}\hline &\text { Coeffs} & \text { Stnd Err} &\text { t Stat} &\text { p -value }&\text { Lower 95\%} \text { Upper 95\%} \\\hline\text { Intercept }& -753.4225 & 101.1149 & -7.4511 & 2.88 \mathrm{E}-09 & -957.3401 & -549.5050 \\\%\text { Attend }& 8.5014 & 1.0771 & 7.8929 & 6.73 \mathrm{E}-10 & 6.3292 & 10.6735 \\\text { Salary} & 6.85 \mathrm{E}-07 & 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 Table 14-16, there is sufficient evidence that daily average of the percentage of students attending class has an effect on percentage of students passing the proficiency test while holding constant the effect of all the other independent variables at a 5% level of significance.

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Definitions:

Unpleasant Stimulus

A stimulus that causes discomfort or displeasure to an individual, leading to avoidance behavior.

Treatment

The act of providing medical care or therapy to address or heal a disease, disorder, or injury.

Stimulus

A scenario or event that triggers a response in an organism.

Conditioned Stimulus

An initially neutral signal that, upon being paired with an unconditioned stimulus, triggers a learned response.

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