A study was conducted to determine whether the final grade of a student in an introductory psychology course is linearly related to his or her performance on the verbal ability test administered before college entrance. The verbal scores and final grades for all 1010 students in the class are shown in the table below. Student Verbal Score xx Final Grade yy 11 2828 8181 22 3333 9090 33 7777 6363 44 6868 7171 55 6161 7979 66 4040 9595 77 4747 8888 88 2727 6969 99 4141 9696 1010 7171 8686 Find the following: (a) The correlation coefficient: r=r= (b) The least squares line: y^=y^= (c) Calculate the residual for the fourth student:
A study was conducted to determine whether the final grade of a student in an introductory psychology course is linearly related to his or her performance on the verbal ability test administered before college entrance. The verbal scores and final grades for all 1010 students in the class are shown in the table below. Student Verbal Score xx Final Grade yy 11 2828 8181 22 3333 9090 33 7777 6363 44 6868 7171 55 6161 7979 66 4040 9595 77 4747 8888 88 2727 6969 99 4141 9696 1010 7171 8686 Find the following: (a) The correlation coefficient: r=r= (b) The least squares line: y^=y^= (c) Calculate the residual for the fourth student:
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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A study was conducted to determine whether the final grade of a student in an introductory psychology course is linearly related to his or her performance on the verbal ability test administered before college entrance. The verbal scores and final grades for all 1010 students in the class are shown in the table below.
| Student | Verbal Score xx | Final Grade yy |
| 11 | 2828 | 8181 |
| 22 | 3333 | 9090 |
| 33 | 7777 | 6363 |
| 44 | 6868 | 7171 |
| 55 | 6161 | 7979 |
| 66 | 4040 | 9595 |
| 77 | 4747 | 8888 |
| 88 | 2727 | 6969 |
| 99 | 4141 | 9696 |
| 1010 | 7171 | 8686 |
Find the following:
(a) The
(b) The least squares line: y^=y^=
(c) Calculate the residual for the fourth student:
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