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

question 121

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.
$\text { Regressing average grade on university entrance exam score }$

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

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

$\begin{array}{|l|l|l|l|l|l|l|}\hline & \text { Coefficients } & \begin{array}{l}\text { Standard } \\\text { Error }\end{array} & \text { tStat } & \text { p-value } & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & 0.5681 & 0.9284 & 0.6119 & 0.5630 & -1.7036 & 2.8398 \\\hline \begin{array}{l}\text { University } \\\text { entrance exam } \\\text { score }\end{array} & 0.1021 & 0.0356 & 2.8633 & 0.0286 & 0.0148 & 0.1895 \\\hline\end{array}$
-Referring to Instruction 12.32,what are the decision and conclusion on testing whether there is any linear relationship at 1% level of significance between average grade and university entrance exam scores?

• A) Do not reject the null hypothesis; hence there is not sufficient evidence to show that university entrance exam scores and average grade are linearly related.
• B) Reject the null hypothesis; hence there is not sufficient evidence to show that university entrance exam scores and average grade are linearly related.
• C) Reject the null hypothesis; hence there is sufficient evidence to show that university entrance exam scores and average grade are linearly related.
• D) Do not reject the null hypothesis; hence there is sufficient evidence to show that university entrance exam scores and average grade are linearly related.

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Definitions:

Co-consumers

Other consumers present in a service or retail environment that can influence an individual's consumption experience.

Co-situational Influencers

are factors or elements present in a specific situation that affect an individual's behavior, decisions, or attitudes within that context.

Co-variables

Variables that are potentially predictive or descriptive of the outcome under study in research, often analyzed alongside independent variables.

Situational Factors

External factors, such as time and environment, that can influence a person's behavior and decisions in a particular context.