7. A graduate school committee is studying the relationship between x, an applicants' undergraduate grade point average and y, the applicants' score on the graduate entrance exam. The following random sample was collected to study this relationship. x (GPA) 3.2 3.9 4.0 3.4 3.7 3.0 y (score) 725 788 775 647 800 672 Refer to your EXCEL homework file. a. Write a sentence interpreting the value of the slope of the regression line. b. If a student has a grade point average of 3.5 what does the least-squares line predict for the score on the graduate entrance exam? (Show your calculations.) Is this interpolation or extrapolation? Explain. C. What does the correlation coefficient tell us about the relationship between GPA and graduate entrance exam score? d. Give a brief explanation of the meaning of the coefficient of determination in the context of this problem.
7. A graduate school committee is studying the relationship between x, an applicants' undergraduate grade point average and y, the applicants' score on the graduate entrance exam. The following random sample was collected to study this relationship. x (GPA) 3.2 3.9 4.0 3.4 3.7 3.0 y (score) 725 788 775 647 800 672 Refer to your EXCEL homework file. a. Write a sentence interpreting the value of the slope of the regression line. b. If a student has a grade point average of 3.5 what does the least-squares line predict for the score on the graduate entrance exam? (Show your calculations.) Is this interpolation or extrapolation? Explain. C. What does the correlation coefficient tell us about the relationship between GPA and graduate entrance exam score? d. Give a brief explanation of the meaning of the coefficient of determination in the context of this problem.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![7. A graduate school committee is studying the relationship between \( x \), an applicant's undergraduate grade point average, and \( y \), the applicant's score on the graduate entrance exam. The following random sample was collected to study this relationship.
\[
\begin{array}{|c|c|c|c|c|c|c|}
\hline
x \text{ (GPA)} & 3.2 & 3.9 & 4.0 & 3.4 & 3.7 & 3.0 \\
\hline
y \text{ (score)} & 725 & 788 & 775 & 647 & 800 & 672 \\
\hline
\end{array}
\]
*Refer to your EXCEL homework file.*
a. Write a sentence interpreting the value of the slope of the regression line.
b. If a student has a grade point average of 3.5, what does the least-squares line predict for the score on the graduate entrance exam? (Show your calculations.) Is this interpolation or extrapolation? Explain.
c. What does the correlation coefficient tell us about the relationship between GPA and graduate entrance exam score?
d. Give a brief explanation of the meaning of the coefficient of determination in the context of this problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd993b3d8-98df-49b8-8607-005350999315%2F4b4cf540-1392-4fce-a6bc-9953e15df7cd%2Fttpjwu7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7. A graduate school committee is studying the relationship between \( x \), an applicant's undergraduate grade point average, and \( y \), the applicant's score on the graduate entrance exam. The following random sample was collected to study this relationship.
\[
\begin{array}{|c|c|c|c|c|c|c|}
\hline
x \text{ (GPA)} & 3.2 & 3.9 & 4.0 & 3.4 & 3.7 & 3.0 \\
\hline
y \text{ (score)} & 725 & 788 & 775 & 647 & 800 & 672 \\
\hline
\end{array}
\]
*Refer to your EXCEL homework file.*
a. Write a sentence interpreting the value of the slope of the regression line.
b. If a student has a grade point average of 3.5, what does the least-squares line predict for the score on the graduate entrance exam? (Show your calculations.) Is this interpolation or extrapolation? Explain.
c. What does the correlation coefficient tell us about the relationship between GPA and graduate entrance exam score?
d. Give a brief explanation of the meaning of the coefficient of determination in the context of this problem.
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