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Admissions offices of colleges and universities are interested in any informatio

ID: 3050071 • Letter: A

Question

Admissions offices of colleges and universities are interested in any information that can help them determine which students will be successful at their institution. For example, could students' high school grade point averages (GPA) be useful in predicting their first-year college GPAs? Data on high school GPA and first-year college GPA from a random sample of 32 college students attending a state university. The results of the regression analysis are shown below. Discuss conclusions that can be made using a significance level of 0.05. Discuss factors that may determine the unexplained variation in the first year college GPAs.

4.0 3.5 3.0 y0.0758+0.9323 a 2.5 2.0 1.5 2.0 2.5 3.0 3.5 4.0 High School GPA

Explanation / Answer

Since there is no data given about the GPA's of the student, we can use the scatter plot to conclude about the association between high school GPA and first-year college GPA.

The slope of the regression line is positive. Hence there is a positive association between the two variable.

Factors that may result in unexplained variation are

1) The student may find interest is sports or other curricular activities, which may result is the decline of GPA is first year.

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