We want to examine the relationship between body temperature Y and heart rate X. Further, we would like to use heart rate to predict the body temperature. ID Gender Age HeartRate Temperature 1 M 33 69 97 2 M 32 72 98.8 3 M 42 68 96.2 4 F 33 75 97.8 5 F 26 68 98.8 6 M 37 79 101.3 7 F 32 71 97.8 8 F 45 73 97.4 9 F 31 77 99.2 10 M 49 81 99.2 11 M 40 69 97.5 12 F 45 70 97.7 13 F 49 71 98.3 14 F 37 74 98.8 15 F 47 79 98.5 16 M 34 73 97.3 17 F 41 71 98.9 18 M 33 77 98.6 19 F 38 70 99.2 20 F 31 69 97.9 21 F 41 67 97.1 22 F 45 67 97 23 F 36 74 98.9 24 M 35 77 99 25 F 28 76 97.9 26 M 25 79 98 27 M 30 76 97 28 M 41 61 97.6 29 M 37 84 99 30 F 37 67 97.8 31 F 34 73 97.9 32 F 34 81 100 33 M 50 68 97.1 34 M 48 76 98.9 35 M 34 80 98.6 36 F 36 68 97.7 37 F 21 70 98.3 38 M 23 79 98.9 39 F 42 76 99.4 40 F 33 75 98.6 41 M 37 73 97.2 42 M 33 72 98 43 F 36 77 99.3 44 M 43 81 99.4 45 M 36 73 98.8 46 M 29 64 98.5 47 F 36 69 98.4 48 F 44 80 98.6 49 F 30 80 97 50 F 38 67 98.2 51 M 41 78 99.6 52 F 43 73 98.9 53 M 42 77 97.3 54 M 41 66 96.5 55 F 36 71 98.2 56 F 34 78 99.3 57 F 36 69 98.2 58 M 41 72 97.8 59 F 41 73 98.3 60 F 40 73 97.4 61 F 40 72 98.2 62 M 33 75 98.3 63 M 35 75 98.1 64 F 37 68 98.8 65 M 43 82 98.8 66 M 31 67 97.7 67 F 44 75 96.8 68 M 47 78 98.3 69 M 44 72 97.7 70 M 37 80 99.1 71 F 30 67 97.9 72 F 34 80 98.3 73 M 32 74 98.8 74 M 44 78 97.4 75 M 46 87 96.9 76 M 45 74 98 77 F 35 71 98.3 78 M 42 69 98.4 79 F 46 87 100.8 80 M 22 81 100.3 81 M 49 75 97 82 F 49 83 99.2 83 F 43 78 99.8 84 M 31 70 99 85 F 36 76 98.8 86 M 38 78 100.6 87 M 40 75 98 88 M 40 75 98.5 89 F 44 70 97.1 90 M 48 72 97 91 F 34 79 98.7 92 F 30 78 99.9 93 M 25 67 97 94 M 38 63 98.6 95 F 39 69 98.4 96 M 42 69 97.8 97 F 38 69 99.7 98 F 40 79 98.7 99 F 34 71 99.2 100 M 35 62 97.3 Create a plot to show the relationship between heart rate and temperature Does these seem to be a straight line relationship between heart rate and temperature? Calculate the correlation between heart rate and the temperature. How strong is the correlation?

We want to examine the relationship between body temperature Y and heart rate X. Further, we would like to use heart rate to predict the body temperature. ID Gender Age HeartRate Temperature 1 M 33 69 97 2 M 32 72 98.8 3 M 42 68 96.2 4 F 33 75 97.8 5 F 26 68 98.8 6 M 37 79 101.3 7 F 32 71 97.8 8 F 45 73 97.4 9 F 31 77 99.2 10 M 49 81 99.2 11 M 40 69 97.5 12 F 45 70 97.7 13 F 49 71 98.3 14 F 37 74 98.8 15 F 47 79 98.5 16 M 34 73 97.3 17 F 41 71 98.9 18 M 33 77 98.6 19 F 38 70 99.2 20 F 31 69 97.9 21 F 41 67 97.1 22 F 45 67 97 23 F 36 74 98.9 24 M 35 77 99 25 F 28 76 97.9 26 M 25 79 98 27 M 30 76 97 28 M 41 61 97.6 29 M 37 84 99 30 F 37 67 97.8 31 F 34 73 97.9 32 F 34 81 100 33 M 50 68 97.1 34 M 48 76 98.9 35 M 34 80 98.6 36 F 36 68 97.7 37 F 21 70 98.3 38 M 23 79 98.9 39 F 42 76 99.4 40 F 33 75 98.6 41 M 37 73 97.2 42 M 33 72 98 43 F 36 77 99.3 44 M 43 81 99.4 45 M 36 73 98.8 46 M 29 64 98.5 47 F 36 69 98.4 48 F 44 80 98.6 49 F 30 80 97 50 F 38 67 98.2 51 M 41 78 99.6 52 F 43 73 98.9 53 M 42 77 97.3 54 M 41 66 96.5 55 F 36 71 98.2 56 F 34 78 99.3 57 F 36 69 98.2 58 M 41 72 97.8 59 F 41 73 98.3 60 F 40 73 97.4 61 F 40 72 98.2 62 M 33 75 98.3 63 M 35 75 98.1 64 F 37 68 98.8 65 M 43 82 98.8 66 M 31 67 97.7 67 F 44 75 96.8 68 M 47 78 98.3 69 M 44 72 97.7 70 M 37 80 99.1 71 F 30 67 97.9 72 F 34 80 98.3 73 M 32 74 98.8 74 M 44 78 97.4 75 M 46 87 96.9 76 M 45 74 98 77 F 35 71 98.3 78 M 42 69 98.4 79 F 46 87 100.8 80 M 22 81 100.3 81 M 49 75 97 82 F 49 83 99.2 83 F 43 78 99.8 84 M 31 70 99 85 F 36 76 98.8 86 M 38 78 100.6 87 M 40 75 98 88 M 40 75 98.5 89 F 44 70 97.1 90 M 48 72 97 91 F 34 79 98.7 92 F 30 78 99.9 93 M 25 67 97 94 M 38 63 98.6 95 F 39 69 98.4 96 M 42 69 97.8 97 F 38 69 99.7 98 F 40 79 98.7 99 F 34 71 99.2 100 M 35 62 97.3 Create a plot to show the relationship between heart rate and temperature Does these seem to be a straight line relationship between heart rate and temperature? Calculate the correlation between heart rate and the temperature. How strong is the correlation?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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We want to examine the relationship between body temperature Y and heart

rate X. Further, we would like to use heart rate to predict the body temperature.

ID	Gender	Age	HeartRate	Temperature
1	M	33	69	97
2	M	32	72	98.8
3	M	42	68	96.2
4	F	33	75	97.8
5	F	26	68	98.8
6	M	37	79	101.3
7	F	32	71	97.8
8	F	45	73	97.4
9	F	31	77	99.2
10	M	49	81	99.2
11	M	40	69	97.5
12	F	45	70	97.7
13	F	49	71	98.3
14	F	37	74	98.8
15	F	47	79	98.5
16	M	34	73	97.3
17	F	41	71	98.9
18	M	33	77	98.6
19	F	38	70	99.2
20	F	31	69	97.9
21	F	41	67	97.1
22	F	45	67	97
23	F	36	74	98.9
24	M	35	77	99
25	F	28	76	97.9
26	M	25	79	98
27	M	30	76	97
28	M	41	61	97.6
29	M	37	84	99
30	F	37	67	97.8
31	F	34	73	97.9
32	F	34	81	100
33	M	50	68	97.1
34	M	48	76	98.9
35	M	34	80	98.6
36	F	36	68	97.7
37	F	21	70	98.3
38	M	23	79	98.9
39	F	42	76	99.4
40	F	33	75	98.6
41	M	37	73	97.2
42	M	33	72	98
43	F	36	77	99.3
44	M	43	81	99.4
45	M	36	73	98.8
46	M	29	64	98.5
47	F	36	69	98.4
48	F	44	80	98.6
49	F	30	80	97
50	F	38	67	98.2
51	M	41	78	99.6
52	F	43	73	98.9
53	M	42	77	97.3
54	M	41	66	96.5
55	F	36	71	98.2
56	F	34	78	99.3
57	F	36	69	98.2
58	M	41	72	97.8
59	F	41	73	98.3
60	F	40	73	97.4
61	F	40	72	98.2
62	M	33	75	98.3
63	M	35	75	98.1
64	F	37	68	98.8
65	M	43	82	98.8
66	M	31	67	97.7
67	F	44	75	96.8
68	M	47	78	98.3
69	M	44	72	97.7
70	M	37	80	99.1
71	F	30	67	97.9
72	F	34	80	98.3
73	M	32	74	98.8
74	M	44	78	97.4
75	M	46	87	96.9
76	M	45	74	98
77	F	35	71	98.3
78	M	42	69	98.4
79	F	46	87	100.8
80	M	22	81	100.3
81	M	49	75	97
82	F	49	83	99.2
83	F	43	78	99.8
84	M	31	70	99
85	F	36	76	98.8
86	M	38	78	100.6
87	M	40	75	98
88	M	40	75	98.5
89	F	44	70	97.1
90	M	48	72	97
91	F	34	79	98.7
92	F	30	78	99.9
93	M	25	67	97
94	M	38	63	98.6
95	F	39	69	98.4
96	M	42	69	97.8
97	F	38	69	99.7
98	F	40	79	98.7
99	F	34	71	99.2
100	M	35	62	97.3

Create a plot to show the relationship between heart rate and temperature
Does these seem to be a straight line relationship between heart rate and temperature?
Calculate the correlation between heart rate and the temperature. How strong is the correlation?
Use an appropriate test to test the hypothesis H0: , where is the population correlation.
Use the “BodyTemperature.csv” data set to build a simple linear regression model for body temperature using heart rate as the predictor.
Interpret the estimate of regression coefficient and examine its statistical significance.
Find the 95% confidence interval for the regression coefficient.
Find the value of R² and show that its relationship with the sample correlation coefficient.

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