SCENARIO 12-8
It Is Believed That GPA (Grade Point Average

question 95

Multiple Choice

SCENARIO 12-8
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 for predicting GPA using ACT scores based a data set of 8 randomly chosen students from a Big-Ten university.
Regressing GPA on ACT $$\begin{array}{l}\begin{array} { l r } \hline { \text { Regression Statistics } } \\\hline \text { Multiple R } & 0.7598 \\\text { R Square } & 0.5774 \\\text { Adjusted R Square } & 0.5069 \\\text { Standard Error } & 0.2691 \\\text { Qbservations } & 8 \\\hline\end{array}\\\end{array}$$
ANOVA
$\begin{array}{lrrrcc} \hline & \text { df } & \text { SS } & \text { MS } & \text { F } & \text { Significance.F } \\\hline\text { Regression } & 1 & 0.5940&0.5940&8.1986&0.0286 \\\text { Error } & 6 & 0.4347&0.0724\\\text { Total } & 7 &1.0287\\\hline\end{array}$
$$\begin{array}{l}\begin{array} { l c r r r r r } \hline & \text { Coefficients } & \text { Standard Error } & t \text { Stat } & P \text {-value } & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & 0.5681 & 0.9284 & 0.6119 & 0.5630 & - 1.7036 & 2.8398 \\\text { ACT } & 0.1021 & 0.0356 & 2.8633 & 0.0286 & 0.0148 & 0.1895 \\\hline\end{array}\end{array}$$
-Referring to Scenario 12-8, what are the decision and conclusion on testing whether there is any linear relationship at 1% level of significance between GPA and ACT scores?

• A)Do not reject the null hypothesis; hence there is insufficient evidence to show that ACT scores and GPA are linearly related.
• B)Reject the null hypothesis; hence there is insufficient evidence to show that ACT scores and GPA are linearly related.
• C)Do not reject the null hypothesis; hence there is sufficient evidence to show that ACT scores and GPA are linearly related.
• D)Reject the null hypothesis; hence there is sufficient evidence to show that ACT scores and GPA are linearly related.

Recognize the formal and informal rulemaking processes utilized by administrative agencies.

Identify the appointment process and roles of administrative law judges in comparison to federal judges.

Comprehend the prerequisites for judicial review of agency actions, including standing and exhaustion of administrative remedies.

Describe the scope and limitations of agency discretionary powers, especially regarding information disclosure.