A Research Team in at the Gonzaga University Is Interested

question 22

Essay

A research team in at the Gonzaga University is interested in predicting a student's overall university GPA if his/her high school GPA is known. Assume that a random sample of 20 students is selected from the data listed below. $$\begin{array} { | c | c | } \hline \text { High School GPA } & \text { University GPA } \\\hline 3.65 & 3.72 \\\hline 3.08 & 3.21 \\\hline 3.12 & 3 \\\hline 2.87 & 2.67 \\\hline 3.34 & 3.57 \\\hline 2.7 & 2.97 \\\hline 3.25 & 2.83 \\\hline 3.01 & 2.89 \\\hline 3.2 & 3.8 \\\hline 2.62 & 2.43 \\\hline 3.71 & 3.82 \\\hline 2.26 & 2.66 \\\hline 3.02 & 3.62 \\\hline 3.58 & 3.83 \\\hline 3.67 & 3.74 \\\hline 2.92 & 2.64 \\\hline 3.71 & 3.53 \\\hline 3.22 & 2.99 \\\hline 2.27 & 2.37 \\\hline 2.8 & 2.69 \\\hline\end{array}$$
a. Develop a scatter chart for these data with High School GPA as the independent variable.What does the scatter chart indicate about the relationship between high school GPAs and overall university GPA?
b. Develop an estimated regression equation showing how high school GPA is related to overall university GPA.What is the estimated regression model?
c. What is the predicted overall university GPA of Sophia, a student who has been admitted to Gonzaga
University, with 3.40 high school GPA?

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Definitions:

Deleterious Mutations

Genetic alterations that are harmful to an organism, potentially reducing its fitness and survivability.

Mutation-Free Genotypes

Genetic compositions of organisms that do not carry mutations compared to a reference version of their genome.

Arbitrary Choice Hypothesis

Suggests that mate preferences in animals can develop without any inherent advantages to the preferred traits, leading to selection based purely on aesthetic or whimsical grounds.

Honest Indicator

A trait that gives accurate signals or information about an organism's genetic quality or fitness, often used in mating and survival strategies.