A University Admissions Committee Was Interested in Examining the Relationship

question 66

Short Answer

A university admissions committee was interested in examining the relationship between a student's score on the SAT exam, x, and the student's grade point average, y, (GPA) at the end the student's freshman year of college. The committee selected a random sample of 25 students and recorded the SAT score and GPA at the end of the freshman year of college for each student. Use the following output that was generated using Minitab to answer the questions below: Use the printout to find the least-square prediction line. = ______________
Find the estimated GPA at the end of the freshman year for a student who scored 1175 on the SAT exam.
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What is the coefficient of determination?
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Interpret the coefficient of determination.
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Use the p-value approach to test the usefulness of the linear regression model at the 0.05 level of significance.
p-value:
______________
Conclude:
______________
There ______________ a significant linear relationship between a student's SAT score and the student's GPA at the end of the freshman year of college.

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Definitions:

White Southerners

White Southerners traditionally refers to the white inhabitants of the Southern United States, particularly those living there during historical periods of significant racial division.

Total Population

The entirety of individuals living in a specific area or country at a given time.

Owned Slaves

Refers to individuals or entities that held ownership over other human beings as property, typically in the context of historical slavery practices.

Importation

The act of bringing goods or commodities into one country from another, often for trading purposes.