Correlation and regression analysis from start to finish: To investigate the relationship between class attendance and performance, an education re- searcher selects for study a multiple section introductory statistics course at a large university. Instructors agree to keep an accurate record of attendance throughout one semester. At the end of the semester 26 students are selected at random. For each student in the sample, two measurements are made: the number of days the student was absent (r) and the student's score on the common final exam (y). The data are summarized below: 120 76 4 41 29 96 5 4 63 88 100 63 79 98 99 80 1 71 89 60 88 1 96 92 3 90 40 55 1 90 70 3 68 80 1 84 20 75 80 63 78 2 4 6. 8. 00 .. .. .... 2727 270 0662 21

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.4: Linear Regression
Problem 20SBE
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Calculate the coefficient of determination (r2), and discuss its meaning.

Correlation and regression analysis from start to finish:
To investigate the relationship between class attendance and performance, an education re-
searcher selects for study a multiple section introductory statistics course at a large university.
Instructors agree to keep an accurate record of attendance throughout one semester. At the
end of the semester 26 students are selected at random. For each student in the sample, two
measurements are made: the number of days the student was absent (r) and the student's score
on the common final exam (y). The data are summarized below:
120
76
4
41
29
63
100
96
4
88
63
98
80
79
1
99
71
89
60
88
1
96
92
3
90
40
55
1
90
70
3
68
80
1
84
20
75
3
80
63
1
78
4
6.
8
00
•.
..
2.
....
x272 7270 0062 21
Transcribed Image Text:Correlation and regression analysis from start to finish: To investigate the relationship between class attendance and performance, an education re- searcher selects for study a multiple section introductory statistics course at a large university. Instructors agree to keep an accurate record of attendance throughout one semester. At the end of the semester 26 students are selected at random. For each student in the sample, two measurements are made: the number of days the student was absent (r) and the student's score on the common final exam (y). The data are summarized below: 120 76 4 41 29 63 100 96 4 88 63 98 80 79 1 99 71 89 60 88 1 96 92 3 90 40 55 1 90 70 3 68 80 1 84 20 75 3 80 63 1 78 4 6. 8 00 •. .. 2. .... x272 7270 0062 21
Processed data:
Σx71
Ey = 2001
Ex? = 329
Ery
4758
Ey
161511
Transcribed Image Text:Processed data: Σx71 Ey = 2001 Ex? = 329 Ery 4758 Ey 161511
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