Reconsider the patient satisfaction data in Table 1. Fit a multiple regression model using both patient age and severity as the regressors. (a) Test for significance of regression. (b) Test for the individual contribution of the two regressors. Are both regressor variables needed in the model? (c) Has adding severity to the model improved the quality of the model fit? Explain your answer. Table 1: Patient Satisfaction Data Severity Satisfaction Observation Age (x1) (x2) (y) 1234567%D 55 50 68 46 24 77 30 46 96 35 48 80 59 58 43 61 60 44 74 65 26 8 38 42 9 27 42 10 51 50 57 11 53 38 56 12 41 30 13 37 31 88 ཚ་་ཡཡ་ 88 75 88 14 24 34 102 15 42 30 88 16 50 48 70 17 58 61 52 18 60 71 43 19 62 62 46 20 68 38 56 21 70 41 59 12222 79 66 26 23 63 31 52 24 39 42 83 25 49 40 75
Reconsider the patient satisfaction data in Table 1. Fit a multiple regression model using both patient age and severity as the regressors. (a) Test for significance of regression. (b) Test for the individual contribution of the two regressors. Are both regressor variables needed in the model? (c) Has adding severity to the model improved the quality of the model fit? Explain your answer. Table 1: Patient Satisfaction Data Severity Satisfaction Observation Age (x1) (x2) (y) 1234567%D 55 50 68 46 24 77 30 46 96 35 48 80 59 58 43 61 60 44 74 65 26 8 38 42 9 27 42 10 51 50 57 11 53 38 56 12 41 30 13 37 31 88 ཚ་་ཡཡ་ 88 75 88 14 24 34 102 15 42 30 88 16 50 48 70 17 58 61 52 18 60 71 43 19 62 62 46 20 68 38 56 21 70 41 59 12222 79 66 26 23 63 31 52 24 39 42 83 25 49 40 75
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 4SGR
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Transcribed Image Text:Reconsider the patient satisfaction data in Table 1. Fit a multiple regression model using both patient age and
severity as the regressors.
(a) Test for significance of regression.
(b) Test for the individual contribution of the two regressors. Are both regressor variables needed in the model?
(c) Has adding severity to the model improved the quality of the model fit? Explain your answer.
Transcribed Image Text:Table 1: Patient Satisfaction Data
Severity
Satisfaction
Observation
Age (x1)
(x2)
(y)
1234567%D
55
50
68
46
24
77
30
46
96
35
48
80
59
58
43
61
60
44
74
65
26
8
38
42
9
27
42
10
51
50
57
11
53
38
56
12
41
30
13
37
31
88
ཚ་་ཡཡ་
88
75
88
14
24
34
102
15
42
30
88
16
50
48
70
17
58
61
52
18
60
71
43
19
62
62
46
20
68
38
56
21
70
41
59
12222
79
66
26
23
63
31
52
24
39
42
83
25
49
40
75
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