53 female 22.88 1 yes 53 female 28.1 3 no 53 female 35.9 2 no 52 female 30.78 1 no 52 male 32.205 3 no southeast 23244.79 1225274 southwest 11741.73 3441278 southwest 11163.57 1593432 northeast 10797.34 1264962 northeast 52 female 37.4 0 no 51 female 18.05 0 no 51 female 37.73 1 no 50 female 27.83 3 no 49 female 27.17 0 no 49 male 30.3 0 no 11488.32 2607025 southwest 9634.538 4464892 northwest 9644.253 4549061 southeast 9877.608 2130658 southeast 19749.38 4234678 southeast 8601.329 824169 southwest 8116.68 3031233 1634107232 6 48 female 41.23 4 no northwest 11033.66 1024842 6 48 male 29.7 0 по southeast 7789.635 4789654 2 48 male 24.42 0 yes southeast 21223.68 3080591 0 48 male 28 1 yes 47 male 28.215 4 no southwest 23568.27 4722549 northeast 10407.09 3120831 5 2 47 female 33.915 3 no 46 female 27.74 0 no northwest 10115.01 2559317 northwest 8026.667 1050713 7 1 46 male 30.495 3 yes 46 female 33.44 1 no northwest 40720.55 2981834 southeast 8240.59 1141339 3 6 46 female 28.9 2 no 45 female 38.285 0 no 45 male 22.895 2 yes 45 female 28.6 44 male 31.35 2 no 1 yes southwest 8823.279 2585795 northeast 7935.291 2294907 northwest 21098.55 895129 southwest 8516.829 3777746 northeast 39556.49 1856206 6 5 4 0 2 44 male 39.52 0 no 44 female 26.41 0 no northwest 6948.701 1109831 northwest 7419.478 2674721 5 3 44 male 30.69 2 no southeast 7731.427 4788494 4 44 male 27.4 2 no southwest 7726.854 2268887 1 44 male 37.1 2 no southwest 7740.337 1095982 3 43 male 27.36 3 no northeast 8606.217 3290542 1 42 female 23.37 0 yes northeast 19964.75 4977763 2 42 female 26.6 0 yes 41 female 33.155 3 no northwest 21348.71 2649568 northeast 8538.288 3169987 5 4 41 female 32.965 0 по 41 male 21.78 1 no northwest 6571.024 1772573 southeast 6272.477 1065721 1 1 41 female 31.6 0 no 41 female 32.2 1 no 40 female 25.46 1 no southwest 6186.127 2242546 southwest 6775.961 3216343 northeast 7077.189 2113200 2 0 3 40 female 28.69 3 no northwest 8059.679 2169233 2 40 male 26.315 1 no northwest 6389.378 4622095 1 40 female 36.19 0 no southeast 5920.104 1152206 7 39 female 32.8 0 no southwest 5649.715 1626358 4 38 male 37.05 1 no northeast 6079.672 3440295 6 38 male 27.835 2 no northwest 6455.863 3543537 4 38 male 19.3 0 yes 38 male 34.7 2 no southwest 15820.7 3987506 southwest 6082.405 2994617 6 4 12:08 PM ΡΜΟ ← DOC-2024... age gender bmi children smoker region charges Income exercise 64 female 39.33 0 no 64 male 24.7 1 no northeast 14901.52 3353787 northwest 30166.62 2400650 5 7 64 female 31.3 2 yes 63 female 23.085 0 no 63 male 28.31 0 no 63 male 35.09 0 yes 63 male 41.47 0 no 63 female 37.7 0 yes 62 female 32.965 3 no southwest 47291.06 4291617 northeast 14451.84 1888365 northwest 13770.1 1171840 southeast 47055.53 4516302 southeast 13405.39 3836008 southwest 48824.45 2122159 northwest 15612.19 4719656 0 2 0 7 6 1 3 62 female 26.29 0 yes 61 female 22.04 0 по southeast 27808.73 4921421 northeast 13616.36 4501307 2 3 61 female 29.92 3 yes southeast 30942.19 4437090 7 61 male 31.57 0 no southeast 12557.61 2746221 7 61 female 39.1 2 no southwest 14235.07 2128182 2 60 female 36.005 0 no 60 male 28.595 0 no northeast 13228.85 4405039 northeast 6 30260 2314973 7 60 female 25.84 0 no 60 female 24.53 0 no northeast 28923.14 1481187 southeast 12629.9 1627313 3 4 60 male 39.9 0 yes 59 male 29.83 3 yes 59 female 26.505 0 по 59 female 27.72 3 no 58 female 31.825 2 no 58 male 36.955 2 yes 58 male 28.595 0 no 58 male 32.01 1 no southwest 48173.36 930570 northeast 30184.94 2495614 northeast 12815.44 1422067 southeast 14001.13 2860549 northeast 13607.37 2874608 northwest 47496.49 4923660 northwest 11735.88 3069717 southeast 11946.63 3748175 4 2 7 7 6 2 3 4 58 male 49.06 0 no 57 male 34.01 0 по southeast 11381.33 3225653 northwest 11356.66 2046973 3 6 57 female 31.16 0 yes northwest 43578.94 1956131 1 56 male 19.95 0 yes northeast 22412.65 1499709 1 56 female 26.6 1 no northwest 12044.34 3270314 1 56 female 39.82 0 no southeast 11090.72 3528862 0 56 male 40.3 0 no southwest 10602.39 2079407 1 56 female 27.2 0 no southwest 11073.18 3737777 0 55 female 32.775 2 no northeast 12268.63 4282553 1 55 female 26.98 0 no northwest 11082.58 2187901 1 55 male 38.28 0 по southeast 10226.28 2918888 7 55 male 37.3 0 по southwest 20630.28 1479150 3 55 female 29.7 2 no southwest 11881.36 4072898 6 54 male 33.63 1 no northwest 10825.25 1264433 0 54 female 31.9 3 no southeast 27322.73 2496625 4 54 female 30.8 3 no southwest 12105.32 3182989 4 54 male 39.6 1 no southwest 10450.55 1516160 3 54 male 53 female 29.2 24.795 1 no southwest 10436.1 2800337 4 1 no northwest 10942.13 4547711 4 53 female 37.43 1 no northwest 10959.69 2863432 6 C78

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question
100%
The Health Ministry in Bahamas is concerned with the high incidence of heart attacks and strokes over the last ten years. They are interested in determining the causal factors in order to develop appropriate mitigating strategies to combat these issues. A consultant was hired and data collected on 200 healthcare recipients. Using the data in the Microsoft Excel file attached you are required to use the knowledge you have acquired during the semester to answer the following question. Ensure that your responses are detailed and all the necessary steps are clearly outlined. The Description of the variables in the data set is given below • age: age of the respondent • gender: female, male • bmi: Body mass index, providing an understanding of body, weights that are relatively high or low relative to height, • children: number of dependents • smoker: smoker or non-smoker • region: the respondent's residential area (northeast, southeast, southwest, northwest. • charges: individual medical costs billed by health insurance • income: respondent’s salary • exercise: number of days of exercise per week Question 1 i. At the 5% level of significance, conduct a hypothesis test to determine if the average age of respondents vary across region. ii. Confirm test results in part (i) using JASP. Note: All JASP input files and output tables should be provided Question 2 i. Derive a model for the estimation of the body mass index from the average income. ii. Confirm test results in part (i) using JASP. Note: All JASP input files and output tables should be provided iii. Is the model significant? Provide all steps. Question 3 i. Using JASP, develop a model to determine if the medical cost is dependent on the income, age of respondents and the number of days of exercise per week. Is the model useful? ii. Should any of the variables be removed from the model. In responding, construct and test any appropriate hypothesis. iii. Would the addition of the body mass index improve the predictive power of the model? Explain. Question 4 i. Using JASP, determine if there is a difference in the average medical cost by residential area. ii. Which region(s) showed difference in the average medical cost by residential area. Explain. Question 5 i. Conclude whether smoking is associated with residential area. ii. Is there an association between the number of days of exercise and gender?
53 female
22.88
1 yes
53 female
28.1
3 no
53 female
35.9
2 no
52 female
30.78
1 no
52 male
32.205
3 no
southeast 23244.79 1225274
southwest 11741.73 3441278
southwest 11163.57 1593432
northeast 10797.34 1264962
northeast
52 female
37.4
0 no
51 female
18.05
0 no
51 female
37.73
1 no
50 female
27.83
3 no
49 female
27.17
0 no
49 male
30.3
0 no
11488.32 2607025
southwest 9634.538 4464892
northwest 9644.253 4549061
southeast 9877.608 2130658
southeast 19749.38 4234678
southeast 8601.329 824169
southwest 8116.68 3031233
1634107232
6
48 female
41.23
4 no
northwest 11033.66 1024842
6
48 male
29.7
0 по
southeast 7789.635 4789654
2
48 male
24.42
0
yes
southeast 21223.68 3080591
0
48 male
28
1 yes
47 male
28.215
4 no
southwest 23568.27 4722549
northeast 10407.09 3120831
5
2
47 female
33.915
3 no
46 female
27.74
0 no
northwest 10115.01 2559317
northwest 8026.667 1050713
7
1
46 male
30.495
3 yes
46 female
33.44
1 no
northwest 40720.55 2981834
southeast 8240.59 1141339
3
6
46 female
28.9
2 no
45 female
38.285
0 no
45 male
22.895
2 yes
45 female
28.6
44 male
31.35
2 no
1 yes
southwest 8823.279 2585795
northeast 7935.291 2294907
northwest 21098.55 895129
southwest 8516.829 3777746
northeast 39556.49 1856206
6
5
4
0
2
44 male
39.52
0 no
44 female
26.41
0 no
northwest 6948.701 1109831
northwest 7419.478 2674721
5
3
44 male
30.69
2 no
southeast 7731.427 4788494
4
44 male
27.4
2 no
southwest 7726.854 2268887
1
44 male
37.1
2 no
southwest 7740.337 1095982
3
43 male
27.36
3 no
northeast 8606.217 3290542
1
42 female
23.37
0 yes
northeast 19964.75 4977763
2
42 female
26.6
0 yes
41 female
33.155
3 no
northwest 21348.71 2649568
northeast 8538.288 3169987
5
4
41 female
32.965
0 по
41 male
21.78
1 no
northwest 6571.024 1772573
southeast 6272.477 1065721
1
1
41 female
31.6
0 no
41 female
32.2
1 no
40 female
25.46
1 no
southwest 6186.127 2242546
southwest 6775.961 3216343
northeast 7077.189 2113200
2
0
3
40 female
28.69
3 no
northwest 8059.679 2169233
2
40 male
26.315
1 no
northwest 6389.378 4622095
1
40 female
36.19
0 no
southeast 5920.104 1152206
7
39 female
32.8
0 no
southwest 5649.715 1626358
4
38 male
37.05
1 no
northeast 6079.672 3440295
6
38 male
27.835
2 no
northwest 6455.863 3543537
4
38 male
19.3
0 yes
38 male
34.7
2 no
southwest 15820.7 3987506
southwest 6082.405 2994617
6
4
Transcribed Image Text:53 female 22.88 1 yes 53 female 28.1 3 no 53 female 35.9 2 no 52 female 30.78 1 no 52 male 32.205 3 no southeast 23244.79 1225274 southwest 11741.73 3441278 southwest 11163.57 1593432 northeast 10797.34 1264962 northeast 52 female 37.4 0 no 51 female 18.05 0 no 51 female 37.73 1 no 50 female 27.83 3 no 49 female 27.17 0 no 49 male 30.3 0 no 11488.32 2607025 southwest 9634.538 4464892 northwest 9644.253 4549061 southeast 9877.608 2130658 southeast 19749.38 4234678 southeast 8601.329 824169 southwest 8116.68 3031233 1634107232 6 48 female 41.23 4 no northwest 11033.66 1024842 6 48 male 29.7 0 по southeast 7789.635 4789654 2 48 male 24.42 0 yes southeast 21223.68 3080591 0 48 male 28 1 yes 47 male 28.215 4 no southwest 23568.27 4722549 northeast 10407.09 3120831 5 2 47 female 33.915 3 no 46 female 27.74 0 no northwest 10115.01 2559317 northwest 8026.667 1050713 7 1 46 male 30.495 3 yes 46 female 33.44 1 no northwest 40720.55 2981834 southeast 8240.59 1141339 3 6 46 female 28.9 2 no 45 female 38.285 0 no 45 male 22.895 2 yes 45 female 28.6 44 male 31.35 2 no 1 yes southwest 8823.279 2585795 northeast 7935.291 2294907 northwest 21098.55 895129 southwest 8516.829 3777746 northeast 39556.49 1856206 6 5 4 0 2 44 male 39.52 0 no 44 female 26.41 0 no northwest 6948.701 1109831 northwest 7419.478 2674721 5 3 44 male 30.69 2 no southeast 7731.427 4788494 4 44 male 27.4 2 no southwest 7726.854 2268887 1 44 male 37.1 2 no southwest 7740.337 1095982 3 43 male 27.36 3 no northeast 8606.217 3290542 1 42 female 23.37 0 yes northeast 19964.75 4977763 2 42 female 26.6 0 yes 41 female 33.155 3 no northwest 21348.71 2649568 northeast 8538.288 3169987 5 4 41 female 32.965 0 по 41 male 21.78 1 no northwest 6571.024 1772573 southeast 6272.477 1065721 1 1 41 female 31.6 0 no 41 female 32.2 1 no 40 female 25.46 1 no southwest 6186.127 2242546 southwest 6775.961 3216343 northeast 7077.189 2113200 2 0 3 40 female 28.69 3 no northwest 8059.679 2169233 2 40 male 26.315 1 no northwest 6389.378 4622095 1 40 female 36.19 0 no southeast 5920.104 1152206 7 39 female 32.8 0 no southwest 5649.715 1626358 4 38 male 37.05 1 no northeast 6079.672 3440295 6 38 male 27.835 2 no northwest 6455.863 3543537 4 38 male 19.3 0 yes 38 male 34.7 2 no southwest 15820.7 3987506 southwest 6082.405 2994617 6 4
12:08 PM
ΡΜΟ
← DOC-2024...
age
gender
bmi
children
smoker
region
charges Income exercise
64 female
39.33
0 no
64 male
24.7
1 no
northeast 14901.52 3353787
northwest 30166.62 2400650
5
7
64 female
31.3
2 yes
63 female
23.085
0 no
63 male
28.31
0 no
63 male
35.09
0 yes
63 male
41.47
0 no
63 female
37.7
0 yes
62 female
32.965
3 no
southwest 47291.06 4291617
northeast 14451.84 1888365
northwest 13770.1 1171840
southeast 47055.53 4516302
southeast 13405.39 3836008
southwest 48824.45 2122159
northwest 15612.19 4719656
0
2
0
7
6
1
3
62 female
26.29
0
yes
61 female
22.04
0 по
southeast 27808.73 4921421
northeast 13616.36 4501307
2
3
61 female
29.92
3 yes
southeast 30942.19 4437090
7
61
male
31.57
0 no
southeast 12557.61 2746221
7
61 female
39.1
2 no
southwest 14235.07 2128182
2
60 female
36.005
0 no
60 male
28.595
0 no
northeast 13228.85 4405039
northeast
6
30260 2314973
7
60 female
25.84
0 no
60 female
24.53
0 no
northeast 28923.14 1481187
southeast 12629.9 1627313
3
4
60 male
39.9
0 yes
59 male
29.83
3 yes
59 female
26.505
0 по
59 female
27.72
3 no
58 female
31.825
2 no
58 male
36.955
2 yes
58 male
28.595
0 no
58 male
32.01
1 no
southwest 48173.36 930570
northeast 30184.94 2495614
northeast 12815.44 1422067
southeast 14001.13 2860549
northeast 13607.37 2874608
northwest 47496.49 4923660
northwest 11735.88 3069717
southeast 11946.63 3748175
4
2
7
7
6
2
3
4
58 male
49.06
0 no
57 male
34.01
0 по
southeast 11381.33 3225653
northwest 11356.66 2046973
3
6
57 female
31.16
0 yes
northwest 43578.94 1956131
1
56 male
19.95
0 yes
northeast 22412.65 1499709
1
56 female
26.6
1 no
northwest 12044.34 3270314
1
56 female
39.82
0 no
southeast 11090.72 3528862
0
56 male
40.3
0 no
southwest 10602.39 2079407
1
56 female
27.2
0 no
southwest 11073.18 3737777
0
55 female
32.775
2 no
northeast 12268.63 4282553
1
55 female
26.98
0 no
northwest 11082.58 2187901
1
55 male
38.28
0 по
southeast 10226.28 2918888
7
55 male
37.3
0 по
southwest 20630.28 1479150
3
55 female
29.7
2 no
southwest 11881.36 4072898
6
54 male
33.63
1 no
northwest 10825.25 1264433
0
54 female
31.9
3 no
southeast 27322.73 2496625
4
54 female
30.8
3 no
southwest 12105.32 3182989
4
54 male
39.6
1 no
southwest 10450.55 1516160
3
54 male
53 female
29.2
24.795
1 no
southwest 10436.1 2800337
4
1 no
northwest 10942.13 4547711
4
53 female
37.43
1 no
northwest 10959.69 2863432
6
C78
Transcribed Image Text:12:08 PM ΡΜΟ ← DOC-2024... age gender bmi children smoker region charges Income exercise 64 female 39.33 0 no 64 male 24.7 1 no northeast 14901.52 3353787 northwest 30166.62 2400650 5 7 64 female 31.3 2 yes 63 female 23.085 0 no 63 male 28.31 0 no 63 male 35.09 0 yes 63 male 41.47 0 no 63 female 37.7 0 yes 62 female 32.965 3 no southwest 47291.06 4291617 northeast 14451.84 1888365 northwest 13770.1 1171840 southeast 47055.53 4516302 southeast 13405.39 3836008 southwest 48824.45 2122159 northwest 15612.19 4719656 0 2 0 7 6 1 3 62 female 26.29 0 yes 61 female 22.04 0 по southeast 27808.73 4921421 northeast 13616.36 4501307 2 3 61 female 29.92 3 yes southeast 30942.19 4437090 7 61 male 31.57 0 no southeast 12557.61 2746221 7 61 female 39.1 2 no southwest 14235.07 2128182 2 60 female 36.005 0 no 60 male 28.595 0 no northeast 13228.85 4405039 northeast 6 30260 2314973 7 60 female 25.84 0 no 60 female 24.53 0 no northeast 28923.14 1481187 southeast 12629.9 1627313 3 4 60 male 39.9 0 yes 59 male 29.83 3 yes 59 female 26.505 0 по 59 female 27.72 3 no 58 female 31.825 2 no 58 male 36.955 2 yes 58 male 28.595 0 no 58 male 32.01 1 no southwest 48173.36 930570 northeast 30184.94 2495614 northeast 12815.44 1422067 southeast 14001.13 2860549 northeast 13607.37 2874608 northwest 47496.49 4923660 northwest 11735.88 3069717 southeast 11946.63 3748175 4 2 7 7 6 2 3 4 58 male 49.06 0 no 57 male 34.01 0 по southeast 11381.33 3225653 northwest 11356.66 2046973 3 6 57 female 31.16 0 yes northwest 43578.94 1956131 1 56 male 19.95 0 yes northeast 22412.65 1499709 1 56 female 26.6 1 no northwest 12044.34 3270314 1 56 female 39.82 0 no southeast 11090.72 3528862 0 56 male 40.3 0 no southwest 10602.39 2079407 1 56 female 27.2 0 no southwest 11073.18 3737777 0 55 female 32.775 2 no northeast 12268.63 4282553 1 55 female 26.98 0 no northwest 11082.58 2187901 1 55 male 38.28 0 по southeast 10226.28 2918888 7 55 male 37.3 0 по southwest 20630.28 1479150 3 55 female 29.7 2 no southwest 11881.36 4072898 6 54 male 33.63 1 no northwest 10825.25 1264433 0 54 female 31.9 3 no southeast 27322.73 2496625 4 54 female 30.8 3 no southwest 12105.32 3182989 4 54 male 39.6 1 no southwest 10450.55 1516160 3 54 male 53 female 29.2 24.795 1 no southwest 10436.1 2800337 4 1 no northwest 10942.13 4547711 4 53 female 37.43 1 no northwest 10959.69 2863432 6 C78
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