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

question 177

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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 ACTA C T
 Regression Statistics  Multiple R 0.7598 R Square 0.5774 Adjusted R Square 0.5069 Standard Error 0.2691 Observations 8\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
dfSSMSF Significance F Regression 1 0.59400.59408.19860.0286 Residual 60.43470.0724 Total 71.0287\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}

Coefficients Standard Error T Stat  p -value Lower 95% Upper 95%  Intercept0.56810.92840.61190.56301.70362.8398ACT 0.10210.03562.86330.02860.01480.1895\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


Definitions:

CEMF

Counter electromotive force, which is the voltage generated by a running motor that opposes the applied voltage.

VFD Senses

Refers to the ability of a Variable Frequency Drive to detect and respond to changes in load or environmental conditions.

Rectifier

An apparatus that transforms AC (alternating current) into DC (direct current).

AC Input Power

AC input power refers to the electrical power supplied to a device or system in alternating current form.

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