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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


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

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