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Instruction 12-8
It Is Believed That Average Grade (Based on a Four

Question 121

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Instruction 12-8
It is believed that average grade (based on a four -point scale) should have a positive linear relationship with university entrance exam scores.Given below is the Microsoft Excel output from regressing average grade on university entrance exam scores using a data set of eight randomly chosen students from a large university.
Regressing average grade on university entrance exam score
 Regression Statistics  Multiple R 0.7598 R Square 0.5774 Adjusted R Square 0.5069 Standard Error 0.2691 Observations 8\begin{array}{lr}\hline {\text { Regression Statistics }} \\\hline \text { Multiple R } & 0.7598 \\\text { R Square } & 0.5774 \\\hline \text { Adjusted R Square } & 0.5069 \\\hline \text { Standard Error } & 0.2691 \\\hline \text { Observations } & 8 \\\hline\end{array}
ANOVA
df SS MSF Significance F  Regression 10.59400.59408.19860.0286 Residual 60.43470.0724 Total 71.0287\begin{array}{llllll} & d f & {\text { SS }} & 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 & & &\end{array}
 Coefficients  Standard Error  t Stat  P-value  Lower 95%  Upper 95%  Intercept 0.56810.92840.61190.56301.70362.8398 University entrance  exam score 0.10210.03562.86330.02860.01480.1895\begin{array}{|l|r|r|r|r|r|r|}\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 \\\hline \text { University entrance } & & & & & & \\\text { exam score } & 0.1021 & 0.0356 & 2.8633 & 0.0286 & 0.0148 & 0.1895 \\\hline\end{array}
-Referring to Instruction 12-8,the value of the measured test statistic to test whether there is any linear relationship between average grade and university entrance exam score is


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

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