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 1 68 84 2 47 97 3 80 75 26 68 5 73 93 46 90 7 49 76 8 77 79 9 51 74 10 66 82 Find the following: (a) The correlation coefficient: r = (b) The least squares line: ŷ = (c) Calculate the residual for the fourth student:

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.2: Box-and-whisker Plots
Problem 1E
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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
1
68
84
2
47
97
3
80
75
26
68
5
73
93
46
90
7
49
76
8
77
79
9
51
74
10
66
82
Find the following:
(a) The correlation coefficient: r =
(b) The least squares line: ŷ
=
(c) Calculate the residual for the fourth student:
Transcribed Image Text: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 1 68 84 2 47 97 3 80 75 26 68 5 73 93 46 90 7 49 76 8 77 79 9 51 74 10 66 82 Find the following: (a) The correlation coefficient: r = (b) The least squares line: ŷ = (c) Calculate the residual for the fourth student:
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