Human Height and Weight are mostly hereditable, but lifestyles, diet, health, and environmental factors also play a role in determining individual's physical characteristics The attached dataset contains 100 records of human heights and weights of 18 year old subjects 1 Determine the correlation coefficient (r) and the coefficient of determination (r 2 ) for the relationship 2 Calculate a 95 confidence interval for the slope of the population regression line (b1) Index Height(Inches) Weight(Pounds) 1 65 78 112 99 2 71 52 136 49 3 69 4 153 03 4 68 22 142 34 5 67 79 144 3 6 68 7 123 3 7 69 8 141 49 8 70 01 136 46 9 67 9 112 37 10 66 78 120 67 11 66 49 127 45 12 67 62 114 14 13 68 3 125 61 14 67 12 122 46 15 68 28 116 09 16 71 09 140 17 66 46 129 5 18 68 65 142 97 19 71 23 137 9 20 67 13 124 04 21 67 83 141 28 22 68 88 143 54 23 63 48 97 9 24 68 42 129 5 25 67 63 141 85 26 67 21 129 72 27 70 84 142 42 28 67 49 131 55 29 66 53 108 33 30 65 44 113 89 31 69 52 103 3 32 65 81 120 75 33 67 82 125 79 34 70 6 136 22 35 71 8 140 1 36 69 21 128 75 37 66 8 141 8 38 67 66 121 23 39 67 81 131 35 40 64 05 106 71 41 68 57 124 36 42 65 18 124 86 43 69 66 139 67 44 67 97 137 37 45 65 98 106 45 46 68 67 128 76 47 66 88 145 68 48 67 7 116 82 49 69 82 143 62 50 69 09 134 93 51 69 91 147 02 52 67 33 126 33 53 70 27 125 48 54 69 1 115 71 55 65 38 123 49 56 70 18 147 89 57 70 41 155 9 58 66 54 128 07 59 66 36 119 37 60 67 54 133 81 61 66 5 128 73 62 69 137 55 63 68 3 129 76 64 67 01 128 82 65 70 81 135 32 66 68 22 109 61 67 69 06 142 47 68 67 73 132 75 69 67 22 103 53 70 67 37 124 73 71 65 27 129 31 72 70 84 134 02 73 69 92 140 4 74 64 29 102 84 75 68 25 128 52 76 66 36 120 3 77 68 36 138 6 78 65 48 132 96 79 69 72 115 62 80 67 73 122 52 81 68 64 134 63 82 66 78 121 9 83 70 05 155 38 84 66 28 128 94 85 69 2 129 1 86 69 13 139 47 87 67 36 140 89 88 70 09 131 59 89 70 18 121 12 90 68 23 131 51 91 68 13 136 55 92 70 24 141 49 93 71 49 140 61 94 69 2 112 14 95 70 06 133 46 96 70 56 131 8 97 66 29 120 03 98 63 43 123 1 99 66 77 128 14 100 68 89 115 48

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Human Height and Weight are mostly hereditable, but lifestyles, diet, health, and environmental factors also play a role in determining individual's physical characteristics. The attached

Human Height and Weight are mostly hereditable, but lifestyles, diet, health, and environmental factors also play a role in determining individual's physical characteristics. The attached dataset contains 100 records of human heights and weights of 18-year-old subjects.

1. Determine the correlation coefficient (r) and the coefficient of determination (r²) for the relationship.

2. Calculate a 95% confidence interval for the slope of the population

regression line (b1).

Index	Height(Inches)	Weight(Pounds)
1	65.78	112.99
2	71.52	136.49
3	69.4	153.03
4	68.22	142.34
5	67.79	144.3
6	68.7	123.3
7	69.8	141.49
8	70.01	136.46
9	67.9	112.37
10	66.78	120.67
11	66.49	127.45
12	67.62	114.14
13	68.3	125.61
14	67.12	122.46
15	68.28	116.09
16	71.09	140
17	66.46	129.5
18	68.65	142.97
19	71.23	137.9
20	67.13	124.04
21	67.83	141.28
22	68.88	143.54
23	63.48	97.9
24	68.42	129.5
25	67.63	141.85
26	67.21	129.72
27	70.84	142.42
28	67.49	131.55
29	66.53	108.33
30	65.44	113.89
31	69.52	103.3
32	65.81	120.75
33	67.82	125.79
34	70.6	136.22
35	71.8	140.1
36	69.21	128.75
37	66.8	141.8
38	67.66	121.23
39	67.81	131.35
40	64.05	106.71
41	68.57	124.36
42	65.18	124.86
43	69.66	139.67
44	67.97	137.37
45	65.98	106.45
46	68.67	128.76
47	66.88	145.68
48	67.7	116.82
49	69.82	143.62
50	69.09	134.93
51	69.91	147.02
52	67.33	126.33
53	70.27	125.48
54	69.1	115.71
55	65.38	123.49
56	70.18	147.89
57	70.41	155.9
58	66.54	128.07
59	66.36	119.37
60	67.54	133.81
61	66.5	128.73
62	69	137.55
63	68.3	129.76
64	67.01	128.82
65	70.81	135.32
66	68.22	109.61
67	69.06	142.47
68	67.73	132.75
69	67.22	103.53
70	67.37	124.73
71	65.27	129.31
72	70.84	134.02
73	69.92	140.4
74	64.29	102.84
75	68.25	128.52
76	66.36	120.3
77	68.36	138.6
78	65.48	132.96
79	69.72	115.62
80	67.73	122.52
81	68.64	134.63
82	66.78	121.9
83	70.05	155.38
84	66.28	128.94
85	69.2	129.1
86	69.13	139.47
87	67.36	140.89
88	70.09	131.59
89	70.18	121.12
90	68.23	131.51
91	68.13	136.55
92	70.24	141.49
93	71.49	140.61
94	69.2	112.14
95	70.06	133.46
96	70.56	131.8
97	66.29	120.03
98	63.43	123.1
99	66.77	128.14
100	68.89	115.48