Table 1 contains the data from a patient satisfaction survey for a group of 25 randomly selected patients at a hospital. In addition to satisfaction, data were collected on patient age and an index that measured the severity of illness. (a) Fit a linear regression model relating satisfaction to patient age. (b) Test for significance of regression. (c) What portion of the total variability is accounted for by the regressor variable age? Table 1: Patient Satisfaction Data Severity Observation Age (21) (x2) Satisfaction (y) 1 55 50 2 46 24 3 30 46 4 35 48 5 59 58 6 61 60 7 74 65 8 38 42 9 27 42 10 51 50 11 53 38 12 41 30 13 37 31 88 14 24 34 15 42 30 16 50 48 17 58 61 18 60 71 19 62 62 20 68 38 21 70 41 22 79 66 23 63 31 24 39 42 25 49 40 BE225222222222222222 68 77 96 80 43 44 26 88 75 57 56 88 102 88 70 43 46 56 59 26 83 75

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 14CR
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Table 1 contains the data from a patient satisfaction survey for a group of 25 randomly selected patients at a
hospital. In addition to satisfaction, data were collected on patient age and an index that measured the severity
of illness.
(a) Fit a linear regression model relating satisfaction to patient age.
(b) Test for significance of regression.
(c) What portion of the total variability is accounted for by the regressor variable age?
Table 1: Patient Satisfaction Data
Severity
Observation
Age (21)
(x2)
Satisfaction
(y)
1
55
50
2
46
24
3
30
46
4
35
48
5
59
58
6
61
60
7
74
65
8
38
42
9
27
42
10
51
50
11
53
38
12
41
30
13
37
31
88
14
24
34
15
42
30
16
50
48
17
58
61
18
60
71
19
62
62
20
68
38
21
70
41
22
79
66
23
63
31
24
39
42
25
49
40
BE225222222222222222
68
77
96
80
43
44
26
88
75
57
56
88
102
88
70
43
46
56
59
26
83
75
Transcribed Image Text:Table 1 contains the data from a patient satisfaction survey for a group of 25 randomly selected patients at a hospital. In addition to satisfaction, data were collected on patient age and an index that measured the severity of illness. (a) Fit a linear regression model relating satisfaction to patient age. (b) Test for significance of regression. (c) What portion of the total variability is accounted for by the regressor variable age? Table 1: Patient Satisfaction Data Severity Observation Age (21) (x2) Satisfaction (y) 1 55 50 2 46 24 3 30 46 4 35 48 5 59 58 6 61 60 7 74 65 8 38 42 9 27 42 10 51 50 11 53 38 12 41 30 13 37 31 88 14 24 34 15 42 30 16 50 48 17 58 61 18 60 71 19 62 62 20 68 38 21 70 41 22 79 66 23 63 31 24 39 42 25 49 40 BE225222222222222222 68 77 96 80 43 44 26 88 75 57 56 88 102 88 70 43 46 56 59 26 83 75
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