We want to examine the relationship between body temperature Y and heartrate X. Further, we would like to use heart rate to predict the body temperature.IDGenderAgeHeartRateTemperature1M3369972M327298.83M426896.24F337597.85F266898.86M3779101.37F327197.88F457397.49F317799.210M498199.211M406997.512F457097.713F497198.314F377498.815F477998.516M347397.317F417198.918M337798.619F387099.220F316997.921F416797.122F45679723F367498.924M35779925F287697.926M25799827M30769728M416197.629M37849930F376797.831F347397.932F348110033M506897.134M487698.935M348098.636F366897.737F217098.338M237998.939F427699.440F337598.641M377397.242M33729843F367799.344M438199.445M367398.846M296498.547F366998.448F448098.649F30809750F386798.251M417899.652F437398.953M427797.354M416696.555F367198.256F347899.357F366998.258M417297.859F417398.360F407397.461F407298.262M337598.363M357598.164F376898.865M438298.866M316797.767F447596.868M477898.369M447297.770M378099.171F306797.972F348098.373M327498.874M447897.475M468796.976M45749877F357198.378M426998.479F4687100.880M2281100.381M49759782F498399.283F437899.884M31709985F367698.886M3878100.687M40759888M407598.589F447097.190M48729791F347998.792F307899.993M25679794M386398.695F396998.496M426997.897F386999.798F407998.799F347199.2100M356297.3 Use an appropriate test to test the hypothesis H0: p=0, where p is the population correlation.Use the above 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.

Name: We want to examine the relationship between body temperature Y and hea
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Description: We want to examine the relationship between body temperature Y and heartrate X. Further, we would like to use heart rate to predict the body temperature.IDGenderAgeHeartRateTemperature1M3369972M327298.83M426896.24F337597.85F266898.86M3779101.37F32719

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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

Use an appropriate test to test the hypothesis H0: p=0, where p is the population correlation.
Use the above 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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