Final answer:
To evaluate the effect of high school class size, gender, and athlete status on college GPA, expected values and standard deviations need to be assessed. A scatter plot can show the relationship between GPA and high school class size. Additionally, variables such as SAT scores, class attendance, and study hours also affect GPA, with study hours being the most influential.
Step-by-step explanation:
To examine the impacts of various factors on college GPA, we need to understand certain statistical terms. Expected values for the variables like size of high school graduating class, gender, and student-athlete status would represent the average outcomes we might anticipate within the data set GPA2. When assessing standard deviations, these measure the amount of variation or dispersion from the average in the data set, indicating how spread out the GPAs are in relation to the different variables.
Plotting GPA against the size of high school graduating class would involve creating a scatter plot or similar visual representation to show the relationship between the two variables, if any. This might help determine whether students from larger or smaller high schools have different college GPA outcomes.
Additionally, an example of coefficient of determination from another analysis indicates that only 10.24% of the variation in freshman college GPA can be accounted for by high school GPA, leaving approximately 89.76% unexplained (1 - 0.1024 = 0.8976). This suggests that high school GPA isn't a strong predictor of college GPA alone.
Moreover, the equation given that combines combined SAT scores, class attendance, and hours spent studying demonstrates that study time has a significant impact on college GPA. Therefore, to raise a GPA according to this equation, a student should focus on attending classes regularly and devoting more time to studying.