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

question 171

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, the value of the measured test statistic to test whether there is any linear relationship between GPA and ACT is

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

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Definitions:

Antibiotic Resistance

The ability of bacteria to withstand the effects of antibiotics, often through genetic mutations or acquisition of resistance genes.

Phenotype Frequency

Phenotype frequency refers to the proportion of individuals in a population that exhibit a specific observable trait or phenotype.

Temporal Isolation

A prezygotic reproductive isolating mechanism in which genetic exchange is prevented between similar species because they reproduce at different times of the day, season, or year.

Genetic Exchange

The process by which genetic information is transferred between organisms, leading to variation in genetic makeup.