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?

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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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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