TABLE 13-8
It Is Believed That GPA (Grade Point $A C T$

question 177

Multiple Choice

TABLE 13-8
It is believed that GPA (grade point average, based on a four point scale) should have a positive linear relationship with ACT scores. Given below is the Excel output from regressing GPA on ACT scores using a data set of 8 randomly chosen students from a Big-Ten university.
Regressing GPA on $A C T$
$\begin{array}{lc}\text { Regression Statistics } \\\hline \text { Multiple R } & 0.7598 \\\text { R Square } & 0.5774 \\\text { Adjusted R Square } & 0.5069 \\\text { Standard Error } & 0.2691 \\\text { Observations } & 8\end{array}$
ANOVA
$\begin{array}{lccccc} & d f & S S & M S & F & \text { Significance } F \\\hline \text { Regression 1 } & 0.5940 & 0.5940 & 8.1986 & 0.0286 \\\text { Residual } & 6 & 0.4347 & 0.0724 & & \\\text { Total } & 7 & 1.0287 & & & \\\hline\end{array}$

$\begin{array}{lrrrrrr}\hline & \text {Coefficients }& \text {Standard Error }& \text {T Stat }& \text { p -value }& \text {Lower 95\%}& \text { Upper 95\% } \\\hline \text { Intercept} & 0.5681 & 0.9284 & 0.6119 & 0.5630 & -1.7036 & 2.8398 \\ \text {ACT }& 0.1021 & 0.0356 & 2.8633 & 0.0286 & 0.0148 & 0.1895 \\\hline\end{array}$


-Referring to Table 13-8, the value of the measured test statistic to test whether there is any linear relationship between GPA and ACT is

• A) 0.7598.
• B) 0.0356.
• C) 0.1021.
• D) 2.8633.

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Definitions:

Finishing

The process of completing or giving the final touches to a product, workpiece, or surface to achieve the desired appearance or functionality.

Standard Deviation

A statistic that measures the dispersion of a dataset relative to its mean, indicating how spread out the data points are.

Emergency Calls

Phone calls made to emergency services, such as police, fire brigade, or medical services, requesting immediate assistance.

Workshift

A scheduled period of time during which an individual is expected to perform work duties.