MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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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