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. 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.
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. 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.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.3: Using Data Displays
Problem 1E
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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.
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.
Transcribed Image Text:x (GPA) 3.2 3.9 4.0
3.4
3.7 3.0
y (score) 725 788 775 647 800 672
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