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.
______________
What is the coefficient of determination?
______________
Interpret the coefficient of determination.
______________
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.

Question

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.
______________
What is the coefficient of determination?
______________
Interpret the coefficient of determination.
______________
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.

Quizplus · Accepted Answer

The Answer of 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. ______________ What is the coefficient of determination? ______________ Interpret the coefficient of determination. ______________ 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.

A University Admissions Committee Was Interested in Examining the Relationship