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 10 students in the class are shown in the table below. Student Verbal Score x Final Grade y 11 36 83 22 71 73 33 44 90 44 46 64 55 66 60 66 40 86 77 26 88 88 47 65 99 27 98 1010 67 79 Find the following: (a) The correlation coefficient: r= (b) The least squares line: y^= (c) Calculate the residual for the third 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 10 students in the class are shown in the table below. Student Verbal Score x Final Grade y 11 36 83 22 71 73 33 44 90 44 46 64 55 66 60 66 40 86 77 26 88 88 47 65 99 27 98 1010 67 79 Find the following: (a) The correlation coefficient: r= (b) The least squares line: y^= (c) Calculate the residual for the third student:
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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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 10 students in the class are shown in the table below.
| Student | Verbal Score x | Final Grade y |
| 11 | 36 | 83 |
| 22 | 71 | 73 |
| 33 | 44 | 90 |
| 44 | 46 | 64 |
| 55 | 66 | 60 |
| 66 | 40 | 86 |
| 77 | 26 | 88 |
| 88 | 47 | 65 |
| 99 | 27 | 98 |
| 1010 | 67 | 79 |
Find the following:
(a) The
(b) The least squares line: y^=
(c) Calculate the residual for the third student:
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