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Instruction 12  Regressing average grade on university entrance exam score \text { Regressing average grade on university entrance exam score }

Question 132

Multiple Choice

Instruction 12.32
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 \text { Regressing average grade on university entrance exam score }

 Regression statistics \text { Regression statistics }
 MultipleR 0.7598 R Square 0.5774 Adjusted R  Square 0.5069 Standard Error 0.2691 Observations 8\begin{array}{|l|l|}\hline\text { MultipleR } & 0.7598 \\\hline \text { R Square } & 0.5774 \\\hline \begin{array}{l}\text { Adjusted R } \\\text { Square }\end{array} & 0.5069 \\\hline \text { Standard Error } & 0.2691 \\\hline \text { Observations } & 8\\\hline\end{array}

 ANOVA \text { ANOVA }
df55MSF Significance F Regression 10.59400.59408.19860.0286 Residual 60.43470.0724 Total 71.0287\begin{array}{|l|l|l|l|l|l|}\hline & d f & 55 & M S & F & \begin{array}{l}\text { Significance } \\F\end{array} \\\hline \text { Regression } & 1 & 0.5940 & 0.5940 & 8.1986 & 0.0286 \\\hline \text { Residual } & 6 & 0.4347 & 0.0724 & & \\\hline \text { Total } & 7 & 1.0287 & & & \\\hline\end{array}

 Coefficients  Standard  Error  tStat  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|l|l|l|l|l|l|}\hline & \text { Coefficients } & \begin{array}{l}\text { Standard } \\\text { Error }\end{array} & \text { tStat } & \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 \begin{array}{l}\text { University } \\\text { entrance exam } \\\text { score }\end{array} & 0.1021 & 0.0356 & 2.8633 & 0.0286 & 0.0148 & 0.1895 \\\hline\end{array}
-Referring to Instruction 12.32,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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