Answered: A graduate school committee is studying…

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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Question

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.

Below is a table showing the relationship between GPA (Grade Point Average) and a standardized test score.

| x (GPA) | y (Score) |
|---------|-----------|
| 3.2 | 725 |
| 3.9 | 788 |
| 4.0 | 775 |
| 3.4 | 647 |
| 3.7 | 800 |
| 3.0 | 672 |

### Explanation:
This table presents a set of data points examining the correlation between students' GPAs and their scores on a standardized test. Each row represents an individual student, with the first column displaying their GPA and the second column showing their test score, allowing for an analysis of academic performance indicators.

Expert Solution

Step 1: Given information

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 are given.

Want to fit regression model.