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

question 178

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 is the predicted value of GPA when ACT = 20?

• A)2.61
• B)2.66
• C)2.80
• D)3.12

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Definitions:

π Molecular Orbital

A molecular orbital formed by the lateral overlap of atomic orbitals, characterized by an electron distribution above and below the plane of the atomic centers.

σ Molecular Orbital

A symmetrical molecular orbital formed by the head-on overlap of atomic orbitals, where electron density is concentrated along the axis connecting nuclei.

Uracil

A nitrogen-containing base found in RNA which pairs with adenine during the formation of RNA strands.

Hybridization

The process or model by which atomic orbitals mix and form new hybrid orbitals of equivalent energies, explaining the bonding and shape in molecules.