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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Refers to Erik Erikson, a developmental psychologist known for his theory on psychosocial development across the lifespan.