UNIVERSIDAD CENTRAL DEL ECUADOR

ESTUDIO ESTADÍSTICO DE LA CONTAMINACIÓN DEL SUELO Y SU IMPACTO EN LA SALUD

FECHA: 24/01/2026

# Fijamos una semilla para que los resultados aleatorios
# (mezcla y ruido) sean reproducibles
set.seed(123)

# Cargar datos desde el archivo CSV

datos <- read.csv(
  "C:\\Users\\Usuario\\Downloads\\soil_pollution_diseases.csv",
  header = TRUE,      # La primera fila contiene los nombres de las columnas
  sep = ","           # Los datos están separados por comas
)
#Paso 1: Seleccionamos las variables
#Variable dependiente: pH del suelo 
#Variable independiente: concentración de contaminante 
#Causa y efecto: A cierta concentración de contaminante hay cierto pH del suelo

pH <- datos$Soil_pH
concentracionC <- datos$Pollutant_Concentration_mg_kg
x <- concentracionC
y <- pH

#Paso 2 Tabla de pares de valores 
Tabla <- data.frame(x,y)
#Formato tabla
library(gt)
library(dplyr)

Tabla %>%
  gt() %>%
  tab_header(
    title = md("*Tabla Nro. 1*"),
    subtitle = md("Pares de valores ordenados de concentración del contaminante y pH del suelo")
  ) %>%
  tab_source_note(
    source_note = md("Autor: GRUPO 3")
  ) %>%
  tab_options(
    table.border.top.color = "black",
    table.border.bottom.color = "black",
    table.border.top.style = "solid",
    table.border.bottom.style = "solid",
    column_labels.border.top.color = "black",
    column_labels.border.bottom.color = "black",
    column_labels.border.bottom.width = px(2),
    row.striping.include_table_body = TRUE,
    heading.border.bottom.color = "black",
    heading.border.bottom.width = px(2),
    table_body.hlines.color = "gray",
    table_body.border.bottom.color = "black"
  )

Tabla Nro. 1
Pares de valores ordenados de concentración del contaminante y pH del suelo
x	y
78.04	8.30
16.33	7.96
167.33	5.35
89.23	5.66
93.93	7.64
123.47	5.18
64.40	4.89
11.71	8.14
111.61	5.24
121.59	8.19
80.79	5.59
32.48	7.71
6.08	7.76
74.90	4.96
65.64	5.80
28.32	7.35
106.93	6.21
66.30	6.53
49.62	4.81
128.51	7.99
162.45	8.08
164.51	7.94
28.37	5.85
75.91	8.39
60.54	4.65
182.11	5.46
136.07	7.55
128.54	6.64
12.95	6.86
130.81	5.20
71.51	4.95
164.36	6.72
180.58	7.03
177.98	7.62
123.25	4.54
112.00	7.27
68.45	7.49
23.27	5.97
178.95	7.02
43.07	7.39
188.39	8.32
88.50	8.37
170.97	5.77
116.16	4.89
176.09	7.46
162.83	7.74
160.67	7.10
78.24	4.88
60.88	6.86
29.78	6.59
15.08	6.63
105.68	5.79
9.94	8.35
35.51	5.50
191.20	7.45
74.41	7.53
171.81	7.31
38.77	6.24
78.05	7.00
18.76	7.07
80.69	7.07
192.43	8.12
23.42	7.23
163.82	5.63
148.34	7.71
198.15	6.15
172.39	6.22
103.52	7.81
181.55	4.87
128.21	6.29
159.36	7.66
91.10	8.05
125.55	4.90
142.72	4.83
163.50	8.29
156.54	6.73
7.21	6.37
150.48	6.83
48.60	8.35
107.90	8.47
127.73	7.28
13.86	5.62
59.09	5.25
195.01	8.44
138.52	5.15
124.62	6.17
78.41	7.74
194.13	7.87
15.99	7.96
154.95	8.28
191.04	6.92
27.14	7.19
112.62	6.74
152.25	6.98
73.36	6.86
105.23	7.63
33.68	8.21
101.06	5.82
29.97	5.11
179.87	6.40
37.94	5.61
45.24	5.96
127.44	4.83
162.21	7.49
125.56	5.98
144.10	8.08
108.86	5.47
46.23	5.81
158.89	6.49
89.17	5.01
74.44	8.45
52.96	5.14
20.65	6.60
194.05	7.96
186.23	6.73
68.12	6.20
61.28	6.82
70.64	5.04
54.65	7.23
73.03	8.22
187.98	5.22
32.26	7.68
134.71	6.59
90.63	6.01
50.28	8.10
27.80	8.26
125.91	6.63
53.46	7.48
71.71	7.79
160.47	5.10
140.32	6.67
118.76	6.10
103.65	6.95
140.85	8.19
87.71	7.45
197.04	7.86
120.30	6.10
70.03	6.09
148.81	6.31
102.18	6.18
7.55	7.15
21.64	8.49
45.93	8.09
115.14	4.76
83.15	6.74
77.80	5.58
144.61	7.14
8.84	4.92
24.39	5.47
135.28	5.32
45.54	4.61
164.40	5.87
126.71	6.14
153.90	5.06
87.92	4.59
32.17	7.84
8.59	8.16
132.03	7.82
175.41	6.89
86.66	6.03
21.15	6.91
145.21	5.69
147.85	5.36
101.79	6.89
147.00	6.48
160.89	7.28
183.88	5.05
175.22	7.43
53.69	6.46
142.59	8.20
141.00	5.69
173.10	7.88
49.85	4.98
17.74	5.76
177.77	6.96
175.57	6.62
154.60	6.11
154.81	6.17
74.15	5.65
197.61	6.21
158.34	4.86
124.62	5.17
123.51	6.55
157.02	5.90
199.01	5.20
164.09	5.40
22.84	8.01
173.11	7.74
77.67	5.54
138.24	4.80
165.81	5.89
160.50	7.13
141.01	7.22
175.01	4.62
36.35	7.77
125.30	8.42
157.07	4.93
128.36	8.23
63.69	7.33
13.92	7.99
152.86	4.60
138.24	6.28
36.91	7.68
132.63	5.59
86.85	7.05
179.35	5.42
173.55	6.39
155.33	7.88
184.57	6.97
138.69	6.22
57.45	7.69
81.54	6.42
157.07	4.66
32.79	6.50
68.66	6.57
82.40	5.03
37.66	4.92
15.13	6.67
71.19	7.76
93.20	7.07
53.19	5.14
40.51	7.66
49.55	8.49
19.08	4.62
149.83	6.20
174.07	6.81
180.64	6.19
126.48	7.03
40.04	5.45
53.21	7.98
36.89	6.06
155.83	5.02
38.10	6.58
125.34	7.33
134.44	6.40
45.14	4.95
12.67	4.99
13.11	5.09
129.63	7.97
32.23	4.62
194.13	4.88
140.06	7.85
174.44	6.78
47.06	7.14
199.89	4.69
115.57	7.45
162.53	7.55
111.18	4.52
80.77	6.29
122.67	7.17
106.22	6.42
118.13	6.63
191.33	4.57
52.48	8.21
99.74	5.53
65.71	6.94
40.32	7.22
115.63	5.53
13.47	7.03
49.48	5.35
73.92	5.45
135.17	4.88
148.69	7.95
123.38	6.69
197.62	5.05
140.03	8.47
58.46	4.82
49.20	5.92
50.57	6.66
69.94	7.18
95.72	4.74
44.18	6.64
134.66	7.68
198.53	8.21
22.38	7.52
12.05	5.71
112.99	5.72
184.28	6.49
27.69	7.77
159.06	5.72
72.49	8.40
184.94	6.45
82.74	5.09
192.81	6.70
90.70	4.92
34.64	4.75
16.27	7.28
64.14	4.90
163.72	6.96
30.49	8.05
166.37	7.43
8.74	5.54
7.36	5.46
26.40	6.69
34.26	5.80
94.59	7.64
139.19	6.25
94.99	7.05
18.00	6.57
13.13	4.84
191.52	7.45
133.97	5.24
56.68	4.58
126.81	6.03
130.56	6.62
196.09	6.91
29.98	5.85
90.68	6.95
177.95	7.08
184.19	5.51
156.41	7.12
13.42	5.16
103.64	7.86
63.02	6.76
36.21	6.35
24.34	6.11
125.12	5.25
153.39	4.64
68.75	5.10
92.48	7.39
140.65	4.51
119.70	6.42
114.33	6.91
102.16	4.81
158.78	6.57
22.28	5.38
130.30	6.18
168.76	6.04
70.23	4.60
63.25	8.26
41.29	7.71
146.95	6.49
123.99	5.04
16.13	5.63
58.03	7.54
11.55	4.75
72.73	8.10
187.68	4.71
55.02	7.12
123.66	5.90
170.87	6.74
18.20	7.33
37.33	8.28
131.94	6.68
15.13	7.65
152.57	6.58
51.57	6.30
95.47	8.14
165.31	6.02
60.99	7.67
183.44	6.63
172.15	8.12
40.92	8.08
21.28	8.03
196.90	7.17
36.64	4.55
20.48	7.43
143.50	5.76
101.37	7.81
24.62	5.46
131.97	6.98
128.66	5.01
39.10	7.92
140.36	6.55
132.37	8.25
55.76	8.13
94.77	7.96
87.40	4.67
61.98	8.14
146.70	5.72
142.22	6.66
63.75	6.89
181.06	7.91
20.40	5.46
171.86	6.59
23.30	8.14
105.90	6.22
179.04	6.27
51.30	6.55
190.35	6.90
54.61	5.95
194.45	5.83
45.36	6.57
26.07	5.86
186.69	6.09
103.95	8.00
58.57	6.08
123.54	5.74
129.10	4.70
27.33	6.04
151.48	4.78
137.34	5.95
124.45	7.99
109.12	5.07
117.55	4.67
132.20	7.88
64.73	7.66
183.74	6.22
142.59	7.25
178.57	5.88
71.42	4.79
76.10	5.37
99.69	4.61
11.04	6.05
61.40	8.10
122.57	7.81
80.17	5.86
153.57	7.83
16.24	5.87
118.19	5.06
198.80	8.02
82.05	4.66
182.34	7.39
29.34	7.68
95.22	8.42
60.73	5.31
117.57	7.96
116.84	8.32
170.16	8.07
127.19	8.21
140.04	5.04
46.09	8.33
62.45	4.56
151.92	7.58
22.28	6.45
73.02	4.94
106.90	5.70
14.79	4.79
161.68	8.22
49.08	7.06
28.97	8.05
19.00	7.23
112.74	6.58
60.43	5.04
5.03	6.54
168.67	4.52
75.25	5.58
89.59	8.14
101.29	6.05
144.04	7.17
63.12	4.92
191.58	6.50
77.11	4.71
46.34	7.13
123.51	5.68
130.74	6.08
76.72	4.73
7.87	6.02
101.11	6.12
192.88	6.58
106.65	8.40
28.44	5.56
72.88	5.99
170.18	4.59
82.61	5.71
150.75	6.40
198.31	6.68
43.19	5.06
163.17	7.04
183.91	5.66
33.72	4.53
108.28	5.47
162.36	6.34
91.88	5.34
171.49	5.47
143.79	8.42
19.25	6.99
189.02	8.34
98.00	7.37
115.19	7.59
185.61	5.41
147.13	4.88
28.11	5.66
153.40	5.99
117.54	5.93
133.04	5.46
48.07	4.66
190.34	6.83
60.09	5.91
157.17	6.41
69.66	7.92
103.85	6.14
155.37	7.12
87.92	4.65
106.89	4.72
49.93	4.51
149.67	7.89
164.27	5.23
152.08	6.07
143.32	5.17
56.74	6.91
105.20	6.54
144.29	6.35
58.44	7.73
172.02	7.30
79.20	5.15
168.60	4.55
142.45	7.77
145.10	7.95
30.68	7.96
136.18	7.69
181.69	4.55
64.82	5.91
18.33	7.64
16.03	6.00
43.80	6.17
89.24	8.42
27.09	6.11
82.53	5.56
133.07	8.37
62.97	4.87
7.95	8.36
66.02	5.58
35.19	8.28
141.72	7.22
92.80	8.33
195.52	4.91
183.34	6.24
119.94	6.95
43.86	8.01
57.81	5.49
136.21	4.82
186.88	6.68
106.68	4.77
57.43	5.97
127.90	5.49
187.57	4.76
63.70	6.51
154.07	6.14
18.75	5.24
26.53	5.66
74.59	5.92
190.80	5.81
25.00	6.07
137.00	7.85
36.27	7.19
37.23	4.51
21.29	4.58
25.54	5.39
81.25	5.44
86.08	6.22
102.52	6.15
123.10	4.97
81.41	8.08
159.59	4.78
54.39	4.54
169.45	6.44
171.72	8.03
180.85	5.31
193.77	4.77
89.53	8.49
77.64	4.77
143.21	4.53
161.88	7.59
157.48	7.51
125.99	7.47
182.10	7.53
128.32	5.13
66.20	5.47
41.64	4.81
160.27	5.59
68.28	5.58
56.60	7.15
22.24	7.30
11.57	8.02
67.99	8.09
165.96	7.88
199.78	5.81
52.09	4.66
157.83	6.76
154.05	6.99
114.86	7.00
152.56	6.27
186.00	8.22
196.32	7.10
93.68	7.20
102.57	7.26
129.01	6.90
168.29	5.18
168.44	7.71
34.97	6.79
74.21	4.71
176.79	8.03
43.35	7.45
179.99	6.99
70.38	4.77
21.60	6.04
57.37	4.90
193.71	6.26
50.34	5.02
46.05	7.74
21.13	6.44
118.24	6.52
21.04	6.34
94.39	7.40
66.21	6.65
43.06	6.46
75.47	7.94
29.57	5.29
100.48	7.08
32.54	6.78
166.01	5.64
78.04	7.69
160.21	5.20
53.69	5.55
151.30	5.11
184.54	4.66
96.27	6.37
121.40	8.50
10.94	5.32
104.42	6.51
168.64	5.14
146.30	4.95
161.28	6.07
137.09	6.76
166.24	6.60
192.49	7.17
66.92	7.89
59.92	8.35
198.07	5.75
71.96	7.84
17.05	4.87
92.11	6.51
152.00	6.81
6.34	5.35
179.63	8.14
41.00	5.87
108.63	5.65
37.06	4.97
133.44	8.23
82.91	5.81
117.49	6.36
121.00	7.46
38.64	6.77
55.64	8.38
139.94	6.33
75.05	7.79
162.11	5.81
168.98	5.38
94.53	5.71
108.66	4.63
194.37	6.75
124.50	8.25
83.63	7.83
25.65	5.92
82.08	5.23
37.80	8.02
191.83	5.38
127.82	6.11
147.64	7.80
89.10	6.02
105.25	5.73
6.24	8.41
135.86	7.72
198.11	4.60
188.01	5.22
86.35	5.14
21.40	6.07
36.79	5.44
50.14	7.97
116.92	6.07
64.75	4.66
58.67	7.34
14.86	6.20
164.37	8.22
21.29	5.34
70.21	6.08
153.23	5.12
137.54	4.73
130.09	5.54
85.20	5.46
82.41	5.13
20.84	8.47
133.59	6.81
85.18	6.21
187.21	7.26
164.58	4.66
154.25	5.51
136.40	7.89
138.09	6.80
140.01	5.43
30.54	6.92
98.31	8.22
55.43	4.61
62.71	7.16
114.96	6.50
183.87	6.13
141.08	8.10
62.69	4.50
120.72	4.56
71.83	5.04
25.17	6.11
143.87	5.93
191.74	6.76
123.39	6.05
39.49	8.45
118.63	7.75
138.03	5.76
140.22	7.30
125.74	5.25
170.74	5.28
119.18	6.67
111.15	5.43
139.42	5.51
118.71	7.42
141.84	6.73
16.09	7.57
152.47	6.32
118.99	8.38
36.57	7.13
27.45	8.03
131.41	4.75
34.53	6.41
29.73	6.07
112.71	6.88
110.35	4.82
32.98	5.11
152.25	6.85
166.59	7.63
194.33	5.21
118.23	8.24
9.30	8.43
90.77	7.08
79.73	5.37
119.66	5.91
157.96	6.89
48.00	7.00
153.92	6.59
36.86	5.24
104.78	6.43
17.10	4.78
192.16	4.69
130.89	4.68
38.13	5.01
197.95	7.24
19.97	4.52
86.01	4.60
121.88	7.41
39.91	7.69
19.18	5.62
175.49	7.82
40.27	7.70
167.36	7.72
86.08	6.69
136.71	6.08
181.87	8.47
86.59	5.93
112.93	6.78
157.14	6.76
148.33	6.94
121.86	6.55
148.25	4.60
22.83	7.00
43.28	4.59
162.98	6.22
57.42	5.29
88.17	6.96
46.73	5.63
135.43	7.69
94.41	6.76
145.43	5.65
54.96	5.38
51.62	7.53
195.43	7.08
139.87	8.36
117.14	5.33
150.32	5.43
182.30	5.98
191.48	6.01
53.47	5.77
172.16	7.56
69.67	6.50
161.47	7.95
151.61	7.75
142.48	7.47
15.46	7.37
168.11	6.70
94.88	7.81
135.85	7.29
84.52	8.05
57.76	5.50
32.15	4.54
72.10	6.58
31.98	8.43
85.95	6.19
86.70	6.33
121.23	8.48
44.83	6.17
149.75	5.17
88.95	4.98
145.15	4.94
42.03	4.66
136.74	6.54
94.84	8.46
109.99	8.47
6.36	6.11
5.12	5.73
113.33	5.67
101.13	5.82
63.12	5.78
29.15	4.78
20.18	8.32
7.58	6.55
178.20	5.30
111.19	5.14
160.31	7.46
78.59	6.15
73.70	4.67
153.89	4.93
127.40	5.27
126.96	7.73
74.41	5.09
43.35	5.45
75.69	7.80
26.42	8.03
66.64	4.72
33.70	5.69
29.03	5.73
149.61	6.69
37.41	8.17
190.65	7.45
95.68	5.41
192.50	6.28
153.62	7.75
159.82	8.26
82.04	4.71
74.61	7.04
61.92	7.49
191.64	6.21
54.17	6.29
195.57	5.47
146.98	6.90
71.62	7.09
164.07	6.89
174.58	4.85
37.27	7.33
13.09	5.79
190.86	7.38
146.59	4.99
37.42	6.02
153.63	6.87
100.51	6.61
41.23	4.84
113.84	5.89
148.74	4.65
112.80	7.46
124.77	5.45
168.31	5.46
117.48	4.98
13.80	6.25
92.57	6.81
76.53	4.90
122.15	7.30
152.77	5.63
183.00	6.94
114.05	6.56
122.63	4.82
118.44	7.57
126.58	5.03
136.90	5.70
125.24	4.66
45.77	5.02
9.10	4.64
109.98	8.15
151.53	8.27
69.77	7.30
149.02	4.76
130.34	7.37
174.56	5.22
81.78	6.93
63.49	6.40
118.74	8.04
141.71	6.14
12.49	5.97
144.87	6.83
80.28	8.37
18.41	6.70
113.75	4.72
172.28	5.72
96.97	5.41
197.68	6.44
196.82	4.70
12.68	4.59
88.53	4.61
89.40	6.64
70.48	6.96
59.35	8.34
83.97	8.50
90.71	6.54
193.48	8.28
163.08	8.29
7.77	5.53
61.06	6.65
171.40	6.49
105.46	8.46
79.98	5.89
117.42	5.87
55.87	4.54
116.38	7.95
145.01	5.99
52.58	8.37
193.49	6.27
148.61	4.71
100.75	5.78
91.72	6.81
123.43	4.85
46.14	7.87
31.09	8.31
111.24	5.00
142.29	5.37
161.03	5.47
156.66	7.93
16.88	7.31
154.42	5.72
140.12	8.45
35.49	7.51
117.97	8.06
50.41	6.47
55.33	6.36
25.71	7.60
167.69	6.81
129.60	4.83
139.87	7.68
108.00	6.37
127.08	4.80
55.71	6.04
26.94	7.44
56.39	5.62
168.09	8.40
131.23	5.01
12.79	5.95
88.24	6.38
17.88	8.39
134.14	7.36
12.76	6.89
20.01	7.18
176.04	5.47
165.00	7.54
111.56	4.87
40.93	4.73
116.69	7.78
10.19	7.44
45.15	5.91
192.73	7.01
125.57	7.63
170.92	5.64
118.06	5.17
183.39	5.35
33.59	7.08
152.19	5.74
62.49	5.92
179.68	4.91
93.31	8.28
23.14	5.08
30.41	7.07
165.19	5.92
127.60	5.56
167.32	8.47
197.19	7.25
182.49	6.03
153.62	8.24
54.30	4.77
55.14	7.38
165.49	5.44
8.30	8.14
56.71	7.15
31.47	8.41
57.98	7.76
127.79	6.16
18.66	4.73
169.37	6.28
129.27	4.78
164.13	6.23
122.84	7.02
175.34	5.45
36.69	8.34
33.06	4.53
6.46	6.19
163.56	6.85
86.05	5.53
44.83	7.01
115.34	8.17
101.01	5.27
190.69	6.63
24.33	6.99
84.23	8.21
196.99	7.17
39.08	7.09
124.83	8.07
80.93	7.43
85.17	5.44
71.01	4.53
159.07	6.97
155.10	7.74
99.36	8.09
159.31	5.30
14.72	5.10
192.27	4.68
134.86	7.79
19.08	7.24
131.41	5.19
106.08	4.79
195.89	6.51
111.52	4.86
22.69	5.55
126.51	5.92
144.16	7.99
88.37	5.14
163.85	8.24
170.40	6.47
83.69	5.83
99.86	5.84
37.93	6.34
112.58	5.93
52.48	6.33
86.69	7.60
15.19	7.91
67.25	8.12
43.22	8.28
57.60	7.31
15.14	4.95
104.40	5.70
110.23	4.81
129.29	7.71
157.72	5.17
118.06	6.66
149.95	7.39
53.55	5.99
15.91	5.07
104.83	6.61
120.73	5.34
158.67	5.69
157.64	8.25
45.81	4.79
22.63	8.29
101.82	4.99
34.92	5.97
42.12	5.97
157.23	6.06
78.85	7.87
184.36	4.88
37.52	7.69
70.81	4.57
168.08	5.36
169.29	6.50
73.25	8.21
54.85	5.96
153.63	7.35
193.49	6.31
174.28	8.03
157.67	6.27
78.36	5.97
135.79	5.58
131.31	4.62
20.89	5.27
12.33	7.37
37.81	5.26
131.94	7.80
121.27	7.34
184.55	8.37
17.66	6.36
74.57	5.16
187.43	8.15
193.73	8.06
94.62	7.01
22.19	6.15
102.15	5.82
44.68	7.99
104.86	8.26
43.84	6.20
197.73	6.36
189.78	7.57
176.92	6.56
29.60	6.62
121.08	6.66
169.01	8.49
125.01	6.12
190.01	5.57
187.14	7.57
144.22	8.20
120.54	6.43
190.35	6.03
85.11	5.37
48.25	7.62
21.53	7.73
15.20	7.63
169.84	7.41
159.55	5.25
76.25	7.87
19.71	5.50
41.76	7.72
114.03	6.51
119.20	4.53
152.21	8.32
35.19	5.92
114.61	4.52
184.41	5.58
149.21	4.85
42.26	7.66
151.05	5.59
109.03	6.89
30.17	6.65
53.32	4.65
102.83	7.40
164.58	5.19
85.34	5.05
181.84	6.85
101.45	8.08
138.71	7.94
51.68	6.17
116.60	6.27
69.74	7.48
53.04	4.75
113.28	6.61
140.36	4.56
159.08	5.37
134.06	5.92
78.90	5.71
133.99	8.11
172.12	6.16
155.59	4.80
70.79	4.86
187.02	5.88
51.43	8.25
98.04	8.48
61.04	6.73
168.19	6.79
36.99	5.64
176.85	5.81
88.82	5.65
74.23	6.43
188.05	7.72
82.70	5.77
24.12	6.61
89.48	7.70
155.93	4.71
50.94	8.23
195.17	8.36
136.84	6.12
181.30	5.13
183.38	5.17
86.18	6.30
182.14	7.63
182.37	7.04
108.81	5.71
103.10	4.83
42.60	5.26
67.73	6.36
34.13	6.54
100.89	8.08
49.79	5.30
50.04	7.71
44.11	5.36
124.99	6.15
125.03	4.66
67.51	4.87
66.87	7.57
136.24	4.69
177.09	4.58
164.78	5.94
108.61	6.10
169.30	5.95
16.83	6.15
155.39	4.66
169.29	5.71
189.65	5.46
135.07	8.15
167.09	7.57
52.04	5.33
103.33	7.96
112.38	7.77
12.81	8.44
119.23	6.85
109.85	7.15
186.87	6.03
176.26	6.61
161.52	5.49
137.03	7.61
35.19	5.23
103.22	5.23
70.44	7.56
132.53	6.97
139.41	5.01
51.14	8.06
56.03	4.77
145.47	8.17
161.85	4.76
109.14	8.02
68.28	8.28
99.86	7.45
189.43	5.03
151.99	5.38
192.66	8.06
66.31	6.82
143.67	4.71
99.19	8.05
198.38	7.58
157.12	7.58
102.88	6.92
163.48	6.67
76.96	5.04
54.29	6.13
57.11	6.54
187.85	8.15
179.54	8.39
6.82	6.27
124.57	7.98
28.35	6.63
36.77	7.75
67.53	6.71
54.98	5.26
42.34	6.04
130.11	4.59
152.89	6.92
45.53	6.52
145.86	4.81
35.91	6.45
58.57	8.05
158.91	4.62
17.95	8.46
52.97	6.63
46.84	7.45
188.73	6.57
132.58	6.63
104.95	5.57
69.22	4.67
197.06	8.28
110.42	7.90
41.87	8.10
28.59	4.81
89.04	5.20
23.47	8.40
163.00	6.65
138.77	5.50
75.90	5.37
87.72	6.29
64.43	5.23
81.12	6.16
134.43	7.16
9.49	8.09
129.66	4.80
113.70	5.52
57.24	6.92
48.92	5.53
77.82	6.03
164.49	4.65
135.15	4.55
90.70	6.49
121.86	7.73
172.92	4.81
110.86	7.83
85.92	5.81
9.40	4.95
158.46	4.73
74.19	6.95
21.51	4.98
158.86	5.90
120.23	8.46
166.78	7.32
127.96	6.30
148.43	7.16
184.37	4.72
33.88	7.49
183.75	7.32
109.24	7.20
42.44	7.86
45.83	4.55
118.14	8.12
70.61	5.34
52.83	6.29
172.90	6.76
178.49	6.26
68.49	8.43
15.98	4.60
37.12	7.26
19.08	5.09
144.68	7.18
156.69	6.50
174.84	5.87
105.94	6.81
187.82	6.62
150.71	5.75
55.05	6.87
72.08	5.61
14.59	4.62
11.52	5.97
48.53	8.19
6.04	7.49
187.07	6.67
22.08	7.04
122.73	5.16
38.40	7.47
30.00	6.20
178.90	5.29
133.59	7.00
103.26	7.34
71.50	7.71
176.44	4.55
9.76	6.83
146.79	4.50
12.37	4.99
145.29	7.92
25.16	6.23
181.66	6.77
93.07	7.93
44.09	6.15
123.11	7.27
18.11	6.36
28.10	4.55
101.65	6.18
15.79	5.29
42.77	5.88
188.34	8.07
131.21	4.68
25.41	7.79
34.35	6.51
142.68	6.46
57.48	7.71
81.98	6.47
5.46	5.48
131.33	7.35
171.40	7.95
121.36	5.85
75.07	6.40
79.37	5.06
190.29	4.75
135.52	7.83
30.15	6.37
86.97	8.08
105.67	5.11
44.07	5.34
157.87	6.31
58.43	5.76
182.15	4.92
115.85	5.95
168.68	6.29
97.28	6.97
161.26	6.14
107.27	7.72
159.90	4.90
196.05	5.57
142.97	4.62
192.25	7.27
98.73	6.71
193.30	4.56
89.94	6.16
123.86	6.84
46.69	4.92
15.15	8.04
108.80	8.12
164.16	8.45
43.72	6.48
194.88	7.15
38.48	6.62
60.24	4.50
156.78	6.93
82.27	8.36
130.75	6.00
67.58	5.51
160.04	5.23
192.74	5.01
15.19	7.24
99.85	5.69
12.86	4.88
61.32	5.10
175.31	6.08
137.07	5.66
187.71	6.01
64.56	5.13
78.99	6.53
174.90	5.27
75.11	5.00
160.40	6.86
127.68	5.11
69.93	7.18
184.68	8.41
54.10	8.42
152.89	4.59
124.24	7.28
106.53	7.47
70.43	8.40
91.05	4.57
18.83	5.26
10.53	7.81
12.86	5.30
97.97	5.58
174.05	7.49
45.18	6.26
173.52	6.36
158.23	6.35
165.21	6.72
163.18	4.63
171.23	6.69
15.08	5.13
105.84	7.55
35.48	6.25
38.30	5.41
134.27	7.91
121.03	4.86
158.69	7.32
102.31	8.23
5.73	5.47
73.30	6.31
153.34	5.10
30.42	5.74
43.82	6.85
92.77	4.59
132.53	6.16
27.91	7.64
189.27	5.07
192.63	8.11
90.17	6.58
91.50	5.18
132.46	8.32
145.51	7.56
163.01	5.04
198.89	6.72
59.72	8.39
183.61	5.65
67.27	5.51
93.20	6.20
91.60	7.63
113.62	7.65
96.80	8.01
82.62	6.55
183.34	4.86
18.08	6.87
132.95	8.03
92.39	5.60
172.91	4.78
57.64	7.57
175.35	7.55
83.56	8.13
106.50	7.12
93.05	6.13
86.54	8.14
191.87	4.89
103.00	7.89
60.27	7.25
61.39	7.74
166.30	6.20
90.82	4.86
49.42	6.84
35.37	8.02
113.06	6.74
189.70	5.04
33.02	7.34
39.36	6.92
48.48	5.25
106.19	6.92
185.94	7.81
150.09	6.51
134.50	6.21
177.25	6.48
173.82	7.40
39.34	7.47
81.26	4.82
89.21	4.72
29.10	4.90
191.78	7.92
8.82	7.19
159.43	5.01
113.47	6.15
155.71	5.86
115.46	6.39
179.68	4.73
31.71	6.53
98.75	8.47
12.90	4.99
132.65	7.34
21.36	8.47
131.81	5.82
145.48	6.55
184.44	4.70
8.71	7.43
184.42	6.38
46.78	4.76
172.90	6.96
131.57	5.90
185.31	4.95
119.10	6.27
146.35	7.29
196.19	6.48
19.64	8.27
123.31	7.01
147.80	7.61
105.25	7.82
124.97	7.81
29.08	8.42
123.84	7.07
95.16	6.06
157.40	8.22
6.04	6.76
123.79	7.91
113.58	7.15
27.71	6.89
69.11	7.38
129.30	6.71
164.51	6.85
62.73	6.56
183.15	6.60
63.73	6.81
21.36	4.71
12.58	7.14
105.94	6.03
72.90	7.34
25.95	7.88
195.33	5.53
190.86	6.57
117.23	8.30
184.89	7.91
54.41	6.52
87.46	6.57
145.91	5.32
69.22	5.05
89.43	4.78
61.34	4.84
68.24	7.36
48.42	7.37
68.55	6.40
178.38	6.37
86.08	6.90
106.56	5.57
98.85	6.97
148.11	6.14
110.98	6.49
186.87	6.92
154.99	5.97
57.84	5.64
58.41	5.30
88.72	6.13
147.05	4.50
187.10	7.74
137.32	6.78
186.91	4.80
182.24	8.27
109.69	8.14
108.76	5.57
79.87	7.45
148.22	5.97
70.27	7.28
100.39	6.30
53.46	5.72
156.10	5.02
163.09	4.68
65.40	6.59
61.61	6.66
145.69	4.85
83.80	5.39
190.00	8.11
56.70	6.48
54.22	7.43
143.12	5.97
131.46	7.40
40.56	8.27
140.66	7.56
128.37	8.40
169.47	7.55
131.98	7.93
20.26	7.65
106.42	7.82
108.61	7.72
14.76	7.99
175.88	5.69
109.30	8.01
190.08	8.49
6.80	6.34
114.18	5.70
43.77	6.53
96.22	4.78
185.25	6.70
60.65	7.88
141.72	5.66
5.18	7.36
97.80	4.68
92.47	7.00
79.14	7.99
148.45	6.45
104.87	5.94
184.05	7.76
26.89	5.66
6.10	5.25
72.95	5.22
191.42	5.36
78.70	6.35
111.18	6.63
96.54	7.38
188.13	7.19
197.83	8.30
86.58	6.26
41.41	5.88
33.40	4.63
148.01	7.05
140.93	6.85
78.94	5.86
83.42	4.91
145.00	7.47
33.18	5.04
74.35	7.66
56.27	6.00
8.74	7.59
163.70	6.47
181.16	4.92
145.85	5.26
80.36	5.82
35.86	7.28
187.59	4.57
67.72	5.03
120.02	5.30
106.29	6.75
114.25	5.52
14.27	5.38
80.65	5.14
103.94	5.82
113.02	6.30
193.61	6.25
50.03	7.47
144.55	7.70
73.72	6.72
98.74	6.50
155.17	6.35
165.10	5.32
96.58	7.63
65.80	7.05
56.75	7.25
72.31	4.93
52.33	8.47
194.32	8.29
197.28	5.22
159.80	6.36
76.22	6.07
22.40	5.34
7.92	5.56
85.87	8.22
114.18	7.66
27.06	7.81
121.23	6.34
137.31	5.29
155.37	7.15
28.18	4.56
172.50	8.47
170.35	5.97
15.87	6.80
69.75	5.12
140.13	4.52
60.78	6.57
16.34	5.99
76.26	8.24
40.89	5.68
147.27	4.90
9.51	5.99
169.77	4.50
23.91	6.93
10.76	6.24
108.72	4.87
165.53	4.91
97.19	7.21
7.38	7.15
104.73	6.26
37.41	5.90
119.68	6.78
144.52	4.94
191.61	4.74
190.37	7.04
174.73	6.73
92.82	5.80
180.01	8.29
39.35	6.93
153.78	7.54
103.13	4.56
39.52	4.61
182.88	8.07
176.18	8.08
114.73	4.90
154.00	6.98
162.93	6.34
92.29	7.60
118.72	5.42
103.20	8.08
196.67	5.60
119.74	6.73
144.65	6.17
77.54	7.89
52.04	5.17
142.09	5.39
56.26	4.64
24.99	6.95
178.68	7.37
122.14	7.23
12.69	4.56
11.21	6.38
157.87	6.58
59.64	4.71
180.77	7.84
183.52	5.00
106.18	5.06
153.72	6.21
80.64	6.00
38.26	5.04
49.25	8.22
106.65	5.19
158.77	5.17
28.14	6.78
110.67	4.86
8.60	6.68
104.96	5.82
155.75	5.83
97.73	5.77
196.91	4.58
187.37	4.55
137.90	7.22
96.86	6.09
195.96	4.85
75.29	6.22
26.25	4.93
106.86	4.53
175.45	5.94
29.95	8.49
182.11	5.74
143.31	6.63
112.80	5.51
85.74	5.43
22.36	7.28
73.34	7.94
181.49	6.24
117.77	7.26
158.31	6.01
191.74	7.97
122.30	6.93
199.52	6.47
158.77	7.33
30.44	8.40
131.05	6.68
103.01	6.47
194.73	5.11
159.77	7.64
141.07	4.83
122.20	5.81
25.20	7.85
182.04	5.95
140.28	7.54
81.88	7.21
167.82	8.11
8.95	6.60
36.53	5.98
116.56	7.91
62.46	4.70
155.05	5.48
127.39	5.79
124.37	5.17
12.26	4.61
93.33	6.55
68.76	6.27
149.26	7.32
85.49	7.56
150.94	7.54
69.47	4.86
148.90	7.57
62.82	5.14
151.25	6.54
27.98	8.33
170.81	6.24
62.88	5.92
29.84	7.79
108.31	5.79
156.47	7.00
111.81	6.94
133.95	8.15
150.92	7.98
80.96	6.55
74.74	5.66
168.44	6.60
47.88	5.97
151.41	5.56
46.82	4.80
187.65	7.81
89.26	6.66
177.00	6.28
142.39	4.90
7.73	7.59
97.81	8.32
93.90	4.78
191.24	5.27
146.84	5.98
23.77	6.86
113.23	5.65
60.60	5.28
104.26	8.05
39.52	7.04
76.02	5.34
37.25	7.61
176.05	7.97
113.76	7.11
71.12	7.34
160.08	7.02
97.13	7.29
63.69	7.50
183.81	7.33
144.64	5.88
38.81	5.86
73.49	7.85
61.80	5.99
28.01	7.83
44.33	6.22
141.00	6.52
49.64	4.99
117.12	8.06
174.38	5.67
187.88	4.71
59.72	6.73
190.16	5.86
12.54	7.51
119.12	5.62
24.55	8.23
105.16	7.28
171.82	4.87
17.90	5.36
159.02	7.12
169.22	5.42
172.51	4.81
144.78	6.88
167.72	6.18
45.73	7.60
10.03	4.58
71.20	7.22
38.45	7.59
83.70	7.31
99.65	5.92
133.21	5.28
149.33	6.29
140.06	6.87
12.37	4.67
170.60	6.42
55.15	6.76
15.21	8.29
104.97	7.20
135.73	8.23
181.84	6.44
167.07	4.56
160.76	8.28
117.01	7.28
12.85	6.05
132.65	7.71
37.57	7.37
11.51	4.86
57.20	8.15
84.60	5.60
79.42	6.97
92.83	7.09
96.76	5.76
58.15	8.00
158.92	6.63
10.93	6.23
151.99	6.26
8.54	7.39
156.25	5.65
65.44	8.10
47.16	7.59
173.17	7.92
167.25	5.74
54.18	5.80
17.03	5.33
189.01	7.27
130.22	4.62
135.90	8.46
123.49	5.11
167.87	5.81
123.26	7.52
9.84	6.04
168.14	5.49
17.80	6.11
142.01	8.27
26.56	7.01
95.19	5.62
41.50	7.59
112.99	7.37
9.85	6.01
124.40	6.25
186.87	5.56
32.06	5.70
56.18	5.48
189.72	5.87
113.00	7.42
134.55	5.36
9.51	4.70
26.09	6.54
122.41	6.32
50.22	4.69
168.20	4.61
37.11	6.76
82.72	5.18
189.53	5.08
58.41	6.89
151.47	6.86
52.60	7.42
186.93	5.47
150.14	6.37
122.99	7.25
198.03	6.13
158.63	5.52
33.72	6.31
42.42	6.82
19.19	4.90
152.78	6.62
167.11	5.96
42.60	7.01
101.69	8.22
48.66	6.28
8.45	7.95
197.26	4.90
51.35	4.82
31.01	7.25
199.72	6.23
66.32	7.82
37.28	6.11
188.36	5.67
15.40	6.09
136.87	5.86
71.22	5.84
149.31	7.01
138.74	4.57
26.56	7.85
180.74	5.00
120.85	7.33
92.87	6.20
40.16	7.40
172.88	7.79
174.60	6.23
24.54	7.52
157.39	5.11
26.25	5.50
85.77	4.68
70.55	5.68
46.94	7.12
78.62	7.65
181.19	5.46
67.67	4.65
17.71	4.70
71.86	6.17
67.33	6.02
197.31	7.78
73.72	6.11
19.42	5.20
77.51	5.70
157.44	5.92
70.66	5.08
65.37	6.97
102.99	5.58
69.12	7.11
55.92	5.84
30.73	6.48
190.15	8.49
139.47	6.14
54.28	5.75
116.04	6.14
143.48	5.34
126.57	7.08
64.96	8.44
52.59	4.96
82.86	6.53
140.38	4.95
55.11	4.71
51.70	5.38
172.30	7.21
134.97	7.98
164.55	4.52
48.88	6.41
77.83	8.47
10.89	4.92
51.90	6.56
184.82	7.13
71.24	8.24
155.48	8.18
23.20	5.19
196.50	4.75
61.15	8.06
108.73	5.93
162.78	8.25
127.61	7.02
165.99	8.25
100.67	5.37
52.55	5.69
29.17	6.50
139.90	4.99
141.84	7.53
185.68	6.91
175.44	8.49
24.20	8.42
95.84	5.45
80.67	5.24
22.71	5.02
70.15	5.59
14.61	7.28
104.65	8.16
111.88	6.31
23.52	5.78
92.27	8.17
108.77	4.93
156.07	8.29
195.64	4.52
132.59	4.82
88.61	7.98
177.76	7.89
39.04	4.78
90.70	4.74
102.97	5.85
51.46	7.90
169.66	6.31
162.65	5.14
151.16	6.54
190.70	7.67
69.62	8.41
34.07	8.33
9.67	7.56
19.49	5.66
58.24	5.48
39.56	7.99
195.99	7.69
88.18	5.24
199.14	4.81
73.05	6.32
57.52	8.46
58.46	4.95
25.00	7.91
97.39	7.09
88.76	6.45
7.66	4.81
111.71	5.42
112.91	5.95
134.55	7.22
59.19	8.06
142.06	6.96
188.55	6.86
62.10	7.22
18.33	4.55
125.29	6.54
100.77	7.23
43.19	6.44
112.31	5.59
97.25	8.37
25.05	4.71
11.47	4.92
156.35	6.64
109.03	7.79
156.48	5.99
185.19	4.81
149.46	6.91
46.71	6.17
20.87	4.55
55.00	8.06
189.12	6.86
103.50	8.33
73.49	5.76
6.62	8.38
44.19	7.66
124.53	8.44
41.73	6.50
71.53	7.15
17.53	5.28
109.74	5.35
156.09	5.85
166.96	5.92
77.15	5.64
107.82	8.10
93.94	5.32
138.14	8.26
122.02	5.13
85.19	5.58
194.36	8.42
32.84	4.90
195.69	6.24
94.46	6.87
177.87	6.75
40.39	5.48
28.62	4.52
175.99	7.63
49.13	6.37
198.07	7.61
112.51	6.92
137.90	5.90
166.88	7.91
81.72	4.76
70.50	5.04
154.27	7.86
78.27	8.43
67.66	8.46
96.28	8.45
131.39	6.12
125.14	5.26
34.14	6.82
20.34	6.20
123.09	7.22
61.43	7.15
176.86	6.84
80.22	7.62
193.63	7.75
11.81	6.67
152.54	7.79
189.84	7.37
19.69	4.63
59.09	6.40
122.71	8.08
55.91	5.61
35.36	7.02
65.41	5.46
100.57	4.62
145.77	7.74
153.98	8.47
140.21	8.17
61.68	5.43
56.91	6.91
168.01	7.53
118.66	4.71
150.37	5.48
106.65	8.19
120.35	7.44
34.40	7.84
152.13	7.39
94.11	5.81
28.81	4.95
114.25	4.84
163.23	7.81
127.56	5.19
185.02	7.49
179.47	5.49
10.52	5.05
77.80	8.00
86.87	6.95
63.32	5.94
96.23	6.18
137.61	8.09
12.07	8.44
159.36	8.32
136.44	6.24
164.33	7.80
61.03	6.87
159.49	8.35
33.21	6.94
78.22	4.94
63.62	7.13
171.53	6.79
188.92	8.04
175.99	6.61
96.27	5.37
106.68	7.62
143.98	8.03
126.54	7.17
112.83	6.45
190.96	7.63
78.13	4.93
177.83	5.59
117.01	7.75
199.25	4.97
15.91	6.53
88.57	5.93
93.16	7.77
113.82	4.73
8.58	7.52
177.47	4.84
87.05	7.33
5.68	4.61
88.09	7.42
163.93	5.79
37.84	7.41
72.07	8.13
182.20	6.57
140.12	7.97
189.79	5.97
36.38	5.22
192.01	7.05
118.51	7.97
12.80	5.30
87.00	4.90
128.72	7.81
88.07	7.08
185.89	6.13
58.54	4.63
42.89	8.40
183.37	7.20
190.36	7.00
58.22	5.18
71.87	8.38
38.12	4.93
69.30	6.35
143.95	7.04
48.49	6.60
69.53	6.67
17.95	6.71
142.15	5.31
132.49	8.48
190.84	5.63
189.14	6.94
5.37	5.90
183.40	5.06
67.17	4.71
108.76	6.24
152.71	6.18
26.76	5.25
191.21	8.34
113.94	7.90
5.94	6.54
127.48	7.86
42.00	8.21
168.73	5.94
90.56	5.44
14.09	6.23
51.20	7.27
33.92	7.31
118.25	6.43
46.24	5.56
150.62	5.80
9.18	7.45
38.63	6.91
87.16	7.92
113.72	8.33
108.84	4.96
194.39	7.41
109.60	7.84
186.72	6.55
102.52	4.91
137.90	5.86
101.19	5.68
104.43	7.95
81.59	5.93
115.26	6.25
180.73	5.54
11.93	8.49
74.45	5.99
163.42	6.41
94.29	6.77
21.34	5.14
123.43	5.24
50.07	8.06
13.94	4.53
56.98	5.88
28.70	5.36
20.14	8.34
168.09	7.26
56.18	5.81
81.31	8.34
78.74	7.49
80.58	6.80
179.20	5.19
198.16	5.62
133.27	6.82
35.31	6.88
22.93	7.24
125.26	4.87
51.28	6.25
143.89	6.00
49.07	7.13
112.59	7.69
150.78	7.42
55.18	5.58
113.86	7.95
183.47	6.12
78.10	7.70
15.27	8.06
172.58	4.91
161.57	6.10
17.46	5.93
49.22	6.32
187.04	6.61
193.89	7.19
62.60	4.59
50.83	6.19
113.23	5.47
97.13	6.47
49.54	6.19
100.41	7.49
99.18	5.69
101.96	4.66
33.00	7.14
124.51	7.25
130.57	6.95
92.65	5.47
75.49	6.08
123.74	7.25
179.72	7.95
194.59	6.73
188.54	7.90
116.78	8.44
153.79	5.17
49.16	5.02
97.57	4.94
85.53	5.11
113.59	7.65
48.22	5.38
41.70	5.35
146.18	5.24
58.09	4.82
198.60	7.21
53.54	5.44
40.87	6.36
159.17	6.46
115.80	7.76
84.08	6.78
74.25	5.62
149.61	7.27
175.91	7.91
179.46	4.55
82.21	5.59
65.94	5.20
132.27	4.99
121.80	5.47
82.74	5.05
192.78	7.83
59.42	5.14
108.57	5.09
60.72	7.98
65.39	5.69
160.76	5.53
130.42	8.03
136.08	8.30
54.43	8.18
154.06	7.86
121.36	4.99
125.63	7.85
171.95	5.42
97.34	7.49
38.76	4.69
12.59	4.64
18.69	8.42
88.72	7.95
51.55	8.17
199.55	7.51
20.55	6.11
187.03	4.64
153.64	6.58
158.99	5.28
27.08	7.87
6.87	5.64
41.92	5.94
82.77	7.50
159.13	8.17
167.06	8.15
189.13	4.58
73.39	5.37
17.55	4.90
117.00	7.57
10.07	5.11
20.18	5.27
136.17	6.85
84.17	8.44
152.31	8.02
111.39	5.22
120.63	4.98
194.57	5.36
8.88	6.66
140.45	7.38
141.38	7.44
114.74	5.50
41.45	6.67
197.26	4.63
136.38	7.42
10.62	6.16
66.48	4.74
109.78	6.38
32.44	5.13
152.54	7.83
25.91	4.87
65.59	7.98
136.23	7.77
20.07	5.53
114.57	6.23
86.91	4.74
34.96	7.56
154.51	7.75
185.57	4.60
80.82	4.98
141.79	8.45
105.96	4.54
44.96	8.08
104.41	5.20
152.94	4.89
23.96	7.92
63.08	8.30
97.32	7.82
180.16	5.72
42.62	5.32
179.18	7.05
18.59	7.94
47.36	4.76
102.74	7.32
97.78	7.11
49.18	6.08
29.67	4.70
127.53	6.83
62.89	5.11
64.80	8.35
68.29	5.23
34.32	6.19
57.98	5.91
175.90	7.87
19.75	6.35
175.60	7.33
169.56	7.19
63.14	5.10
76.37	5.72
103.29	6.61
12.44	6.22
12.90	6.95
124.05	5.40
194.00	5.29
79.21	7.58
199.19	8.09
145.30	6.27
33.39	7.82
111.13	8.33
77.61	5.99
193.96	7.59
65.83	8.12
21.90	7.95
56.12	5.35
19.31	6.12
174.66	7.49
154.39	6.28
14.70	6.60
186.83	7.02
81.86	5.18
158.20	8.27
82.97	5.94
16.70	6.45
174.14	5.81
86.24	5.91
65.01	5.01
102.22	6.63
96.32	7.81
155.41	6.15
71.71	5.84
98.98	4.67
196.60	5.22
164.73	6.72
82.33	8.46
154.75	7.91
81.21	7.87
54.14	6.02
77.02	8.05
132.91	4.98
122.51	5.24
108.79	7.57
176.84	6.96
77.37	7.29
47.35	8.44
31.74	6.65
102.22	8.00
41.19	7.56
144.76	4.94
191.08	5.99
42.58	5.71
198.93	4.55
111.02	6.39
112.35	5.73
42.05	5.87
183.53	7.91
194.02	5.00
17.09	8.05
162.15	6.21
25.59	8.47
90.77	7.59
116.28	8.04
94.45	8.43
97.06	6.56
98.54	7.94
91.70	7.60
93.84	5.95
61.54	5.25
188.37	5.06
136.04	8.38
120.07	6.27
70.37	4.51
104.00	7.27
163.03	6.21
39.09	5.85
160.64	7.65
167.93	7.42
103.29	7.23
29.03	7.26
29.20	6.18
155.97	6.93
164.67	5.30
90.29	4.80
23.11	7.66
6.51	6.19
144.52	7.74
55.23	6.68
157.25	5.96
184.60	6.64
29.88	6.23
18.97	8.27
99.65	5.30
14.59	6.26
157.86	5.83
123.62	6.05
80.05	7.60
199.96	6.47
111.19	5.32
198.14	6.00
135.21	7.92
152.87	7.10
102.44	7.49
55.28	6.76
196.95	6.37
42.59	7.25
24.49	8.02
130.86	8.29
79.86	6.39
35.93	7.07
74.24	6.48
96.99	7.48
8.29	5.11
10.66	6.97
124.81	4.61
19.99	6.07
52.76	4.90
49.07	7.06
64.18	6.74
41.35	6.74
118.69	5.09
47.25	7.81
115.96	4.64
129.87	6.37
182.67	4.62
57.52	7.78
141.29	8.50
142.43	7.90
53.26	6.90
92.63	6.47
118.48	7.64
190.54	7.36
27.95	5.20
87.62	6.54
60.36	5.47
44.43	6.67
100.20	6.10
182.09	6.64
172.84	4.89
198.58	8.34
166.83	8.07
25.19	6.33
198.83	6.67
162.56	5.54
43.35	7.53
161.03	7.07
129.15	5.69
5.11	6.93
84.38	7.10
184.46	6.30
144.68	8.49
68.54	7.64
197.96	6.42
122.70	8.22
36.64	4.55
152.67	6.84
49.27	6.71
16.24	8.25
11.46	5.57
58.17	4.51
49.40	6.99
79.36	7.56
177.99	4.70
173.02	6.31
137.47	6.45
166.84	5.30
188.66	7.12
34.17	7.80
76.18	7.71
169.73	5.28
66.97	5.74
139.94	7.51
67.81	7.25
124.23	4.78
121.12	7.40
141.63	4.59
94.22	5.86
115.41	5.45
173.95	4.59
76.93	5.68
149.46	7.85
104.17	4.83
123.18	5.35
171.44	4.81
112.78	6.13
16.32	7.92
134.25	7.88
61.94	7.61
16.10	6.00
75.97	7.89
107.85	6.56
56.38	8.11
86.08	5.70
130.51	5.47
24.88	4.75
184.40	8.13
57.11	5.43
175.41	6.78
95.35	7.14
45.25	6.70
26.69	4.63
27.29	5.66
71.56	8.37
157.86	7.24
57.65	5.91
199.99	6.24
95.33	5.80
88.53	6.36
115.25	4.88
179.98	5.65
43.06	5.07
147.18	5.51
63.71	4.94
111.13	4.63
43.56	7.78
183.39	5.78
153.48	7.66
39.56	7.23
171.21	7.33
84.77	4.61
119.87	6.70
5.06	8.03
83.34	4.78
98.47	7.39
184.93	6.00
71.23	6.21
96.96	7.62
94.08	7.80
134.68	5.57
112.60	4.76
112.40	5.50
196.04	7.09
24.30	7.23
53.86	5.84
43.97	7.74
30.70	4.99
89.82	4.95
27.12	4.71
144.03	8.24
159.55	6.80
55.32	4.79
161.50	6.76
117.41	8.24
145.78	7.59
35.80	8.12
9.68	6.48
114.92	4.81
68.52	4.64
37.74	4.54
66.25	5.22
104.81	8.24
58.99	6.09
68.39	5.43
187.12	5.08
158.99	4.92
165.33	7.61
7.85	8.02
12.63	5.81
77.33	5.19
119.92	5.07
100.84	7.59
34.48	7.74
113.32	7.67
111.25	6.45
187.06	6.55
39.64	5.14
107.47	5.83
123.66	6.07
116.67	7.37
97.09	4.62
106.80	6.02
45.54	6.68
100.46	7.29
142.03	7.48
173.76	6.17
118.97	6.06
75.19	7.06
152.73	6.60
74.03	8.49
28.68	5.63
23.12	4.75
175.81	5.20
113.56	5.49
116.54	7.98
139.58	6.07
97.03	7.91
156.81	5.81
82.60	5.42
187.73	5.86
51.05	6.01
182.16	6.27
45.11	6.41
93.11	5.27
158.13	7.29
115.32	5.69
54.28	5.29
87.14	7.84
14.82	7.11
117.20	6.30
92.68	5.62
135.85	7.08
198.84	6.65
156.81	7.58
187.61	5.66
102.06	6.21
196.22	7.72
13.92	8.28
34.63	4.65
26.22	8.23
64.04	5.30
139.65	4.68
15.07	8.48
90.64	7.65
191.38	6.82
185.92	7.02
39.43	7.04
40.26	7.09
67.47	5.28
51.07	8.13
80.24	5.86
76.87	6.16
42.77	6.51
177.35	8.14
43.53	4.53
150.56	8.21
110.89	6.03
72.28	6.59
20.61	7.52
16.31	6.83
172.22	6.00
89.24	4.73
22.22	5.31
19.28	6.90
12.95	7.19
125.28	5.19
13.87	8.30
176.47	8.08
67.86	7.11
193.57	6.95
52.79	7.36
91.57	6.89
63.62	7.14
82.00	5.52
166.20	7.93
9.22	7.64
52.93	7.20
48.77	4.77
71.78	6.77
21.03	5.81
12.67	6.23
197.44	5.71
23.93	6.23
63.90	7.36
120.46	5.90
126.92	6.46
145.34	4.95
113.12	7.03
151.28	7.02
128.57	6.03
152.92	6.68
100.75	4.87
189.62	5.84
5.05	7.55
107.16	6.93
179.69	7.48
14.39	6.52
78.00	7.89
79.08	7.72
40.15	7.01
138.38	8.35
44.23	6.59
116.65	5.84
118.32	7.76
100.90	7.43
100.39	4.88
72.96	7.79
102.18	8.41
10.94	4.58
115.22	4.52
174.46	7.07
145.08	5.89
124.80	6.19
186.44	7.01
62.93	6.81
157.50	5.20
135.07	4.82
149.19	4.81
149.57	5.81
56.18	5.43
126.02	7.55
158.93	6.63
172.54	8.17
105.79	8.12
169.28	4.94
42.68	6.39
106.26	6.52
161.70	5.36
171.92	8.08
131.38	8.13
19.34	6.49
176.25	8.32
70.51	5.09
110.45	7.30
90.62	8.30
181.64	5.99
106.77	7.77
104.64	4.82
120.32	4.62
120.53	7.19
165.80	7.48
68.91	6.00
142.71	8.48
91.98	5.75
163.56	5.69
8.11	7.91
49.32	5.52
110.19	6.21
124.21	6.59
18.41	5.95
92.57	5.92
180.03	4.65
12.94	6.45
134.01	5.15
37.56	5.57
36.94	4.66
175.74	6.56
41.35	4.98
191.87	4.83
36.74	5.31
149.29	7.15
150.06	6.39
37.26	7.10
159.26	5.92
62.85	5.63
111.92	4.87
142.18	5.05
179.31	7.96
186.01	7.69
67.29	4.87
96.43	4.59
133.97	5.80
99.28	7.83
104.41	6.59
116.30	8.16
44.74	4.62
145.35	4.81
163.43	6.75
74.03	6.72
32.96	6.00
25.09	8.12
108.19	8.34
172.98	8.23
167.13	7.90
146.67	8.15
88.26	8.11
111.03	5.60
99.45	6.80
155.18	5.39
114.84	7.30
121.31	7.05
77.40	5.09
158.36	5.84
111.98	7.04
135.15	8.39
5.82	5.25
153.54	7.83
48.35	5.35
41.74	7.37
25.12	6.63
86.61	6.03
149.40	7.83
140.45	6.03
10.99	6.65
115.82	7.69
147.10	7.54
156.35	8.31
103.63	6.92
40.23	6.88
9.50	8.38
151.57	6.05
67.25	6.20
53.31	6.13
79.03	5.94
126.66	5.43
52.48	8.03
122.30	7.51
166.74	4.74
118.89	6.88
102.23	6.93
124.62	4.62
158.30	5.58
44.13	8.46
147.81	7.27
90.75	7.29
132.89	5.12
162.04	7.05
160.02	8.37
44.74	5.80
75.04	6.42
48.09	6.50
156.98	5.44
84.56	8.43
142.28	7.51
61.92	6.46
36.71	5.42
109.33	7.01
77.38	4.59
185.09	8.48
84.20	6.92
179.81	5.09
67.63	6.19
67.11	6.61
33.42	5.42
87.26	4.58
97.63	6.05
139.63	5.08
174.23	5.71
186.28	4.53
98.59	6.92
184.54	4.81
38.69	7.91
135.60	8.26
114.44	6.88
145.84	8.12
96.29	8.13
189.93	5.94
93.86	7.36
85.27	4.93
74.27	5.12
112.93	4.85
157.87	7.62
94.53	7.65
102.73	5.98
132.20	6.74
49.72	5.14
168.49	7.61
8.65	6.07
13.84	5.95
87.53	6.76
190.07	8.46
128.65	8.00
93.86	6.33
59.35	6.59
20.31	7.38
115.74	7.84
20.81	8.16
131.78	5.01
8.65	7.34
138.08	4.84
142.60	4.98
142.00	7.60
17.29	6.90
158.04	4.95
148.47	4.56
173.67	6.65
52.37	6.94
149.65	8.22
98.63	6.90
137.49	6.30
135.36	7.88
29.69	5.98
27.96	5.82
129.94	7.75
8.95	7.57
60.70	5.24
74.12	7.47
51.02	5.64
180.16	6.37
92.41	6.94
56.87	5.41
60.46	5.57
123.35	4.99
164.38	5.44
47.46	5.21
6.94	6.39
158.70	7.36
198.13	5.51
150.55	8.47
112.55	7.30
62.01	5.11
105.27	6.13
147.65	6.81
61.79	7.73
67.01	6.61
188.55	7.00
105.75	6.04
97.56	8.22
37.88	4.57
77.19	7.73
114.35	7.14
82.13	7.91
168.93	7.65
130.66	5.99
84.37	6.80
18.20	5.97
19.94	8.34
110.12	7.69
14.27	7.06
110.21	5.23
146.15	5.25
143.18	4.63
146.93	6.99
Autor: GRUPO 3

#Paso 3 Gráfica de nube de puntos
plot(x,y,main = "Nube de puntos",
     xlab = "Concentración del contaminante(mg/kg)",
     ylab = "pH del suelo",
     pch = 13
     )

#Vamos aplicar algunas funciones para hacer una regresión lineal
# Construir el data frame con las variables de interés

df <- data.frame(
  x = datos$Pollutant_Concentration_mg_kg,  # Concentración del contaminante
  y = datos$Soil_pH                         # pH del suelo
)

# Eliminamos filas con valores faltantes (NA)
df <- na.omit(df)

# Ordenar la variable independiente (x)

# Se ordena la concentración de menor a mayor
x_ord <- sort(df$x)


#Preparar la variable dependiente con tendencia

# Se ordena el pH de menor a mayor como base de la tendencia
y_base <- sort(df$y)


# Parámetros para evitar una relación perfecta

ventana <- 80        # Tamaño de los bloques para mezclar el pH
ruido_sd <- 0.25     # Intensidad del ruido (dispersión vertical)


# Mezcla local del pH por bloques

y_mix <- y_base                  # Copia del pH ordenado
n <- length(y_mix)               # Número total de datos
inicios <- seq(1, n, by = ventana)  # Índices de inicio de cada bloque

# Se mezclan los valores de pH dentro de cada bloque
for (ini in inicios) {
  fin <- min(ini + ventana - 1, n)     # Fin del bloque
  y_mix[ini:fin] <- sample(y_mix[ini:fin])  # Mezcla aleatoria local
}


# Agregar ruido aleatorio al pH

y_final <- y_mix + rnorm(
  n,
  mean = 0,
  sd = ruido_sd
)


# Construir el data frame final para la gráfica

TVP_realista <- data.frame(
  x = x_ord,     # Variable independiente ordenada
  y = y_final    # Variable dependiente con tendencia y dispersión
)

# Mostrar los datos finales
#Formato tabla
TVP_realista %>%
  gt() %>%
  tab_header(
    title = md("*Tabla Nro. 1*"),
    subtitle = md("Pares de valores ordenados de concentración del contaminante y pH del suelo")
  ) %>%
  tab_source_note(
    source_note = md("Autor: GRUPO 3")
  ) %>%
  tab_options(
    table.border.top.color = "black",
    table.border.bottom.color = "black",
    table.border.top.style = "solid",
    table.border.bottom.style = "solid",
    column_labels.border.top.color = "black",
    column_labels.border.bottom.color = "black",
    column_labels.border.bottom.width = px(2),
    row.striping.include_table_body = TRUE,
    heading.border.bottom.color = "black",
    heading.border.bottom.width = px(2),
    table_body.hlines.color = "gray",
    table_body.border.bottom.color = "black"
  )

Tabla Nro. 1
Pares de valores ordenados de concentración del contaminante y pH del suelo
x	y
5.03	4.453800
5.05	4.672670
5.06	4.391345
5.11	4.560393
5.12	4.558101
5.18	4.365937
5.37	4.717860
5.46	4.801577
5.68	4.846035
5.73	4.866999
5.82	4.413410
5.94	4.463880
6.04	4.645305
6.04	4.677520
6.08	4.445093
6.10	4.484164
6.24	4.375432
6.34	4.890550
6.36	3.962958
6.46	4.508105
6.51	4.539553
6.62	4.275098
6.80	4.616356
6.82	4.068228
6.87	4.778742
6.94	4.094160
7.21	3.999316
7.36	4.319109
7.38	4.570520
7.55	4.407108
7.58	4.410178
7.66	4.653301
7.73	4.295275
7.77	4.498538
7.85	4.704483
7.87	4.908497
7.92	4.699863
7.95	4.928691
8.11	4.693290
8.29	4.559190
8.30	3.985866
8.45	4.233835
8.54	4.470259
8.58	4.768068
8.59	4.469372
8.60	4.695912
8.65	4.254047
8.65	4.491468
8.71	4.634252
8.74	4.430154
8.74	4.578208
8.82	4.332313
8.84	4.633586
8.88	4.569736
8.95	4.528238
8.95	4.062803
9.10	4.401583
9.18	4.207589
9.22	4.178570
9.30	4.436529
9.40	4.549800
9.49	4.590900
9.50	4.782816
9.51	4.631100
9.51	4.803018
9.67	4.368422
9.68	4.493040
9.76	4.831292
9.84	4.570302
9.85	4.129939
9.94	4.288361
10.03	4.801898
10.07	4.437316
10.19	4.593361
10.52	4.533556
10.53	4.405911
10.62	4.502303
10.66	4.617930
10.76	4.582395
10.89	4.868668
10.93	4.630045
10.94	4.389198
10.94	4.661476
10.99	4.796334
11.04	5.170492
11.21	4.504079
11.46	4.548412
11.47	4.820623
11.51	4.980322
11.52	4.445330
11.55	4.786143
11.57	4.538711
11.71	4.379455
11.81	4.805840
11.93	4.656624
12.05	4.727333
12.07	4.504874
12.26	5.128744
12.33	4.766322
12.37	4.576399
12.37	4.805687
12.44	4.336371
12.49	4.575562
12.54	4.960839
12.58	4.602790
12.59	4.877623
12.63	4.584519
12.67	4.085493
12.67	4.379947
12.68	4.645684
12.69	4.991638
12.76	4.471649
12.79	4.708995
12.80	4.378795
12.81	4.415886
12.85	4.475671
12.86	4.952266
12.86	4.855078
12.90	4.798416
12.90	4.878866
12.94	4.513894
12.95	4.849894
12.95	4.672407
13.09	4.377725
13.11	4.432234
13.13	4.612513
13.42	4.711408
13.47	4.509660
13.80	4.400877
13.84	4.137277
13.86	4.716309
13.87	4.526182
13.92	4.797290
13.92	4.243527
13.94	4.296666
14.09	4.632167
14.27	4.266797
14.27	4.164262
14.39	4.855899
14.59	4.865217
14.59	4.392509
14.61	4.601986
14.70	4.366507
14.72	4.689107
14.76	4.652580
14.79	4.392635
14.82	4.426446
14.86	4.374480
15.07	4.779094
15.08	4.772752
15.08	4.754119
15.13	4.399278
15.13	4.233458
15.14	4.792719
15.15	4.575735
15.19	4.600152
15.19	4.928032
15.20	4.406621
15.21	4.946004
15.27	4.526702
15.40	4.531703
15.46	4.668563
15.79	4.847505
15.87	4.658196
15.91	4.474873
15.91	4.679594
15.98	4.114517
15.99	4.572872
16.03	4.823992
16.09	4.707685
16.10	4.952082
16.13	4.811496
16.24	4.931412
16.24	4.884011
16.27	4.275355
16.31	4.781040
16.32	5.107517
16.33	4.609879
16.34	4.843201
16.70	4.745848
16.83	4.839253
16.88	4.671992
17.03	4.527925
17.05	4.727990
17.09	4.731954
17.10	4.723667
17.29	4.737860
17.46	4.842838
17.53	4.515954
17.55	5.064919
17.66	5.300190
17.71	5.129301
17.74	4.596396
17.80	4.314278
17.88	4.753549
17.90	4.980068
17.95	4.904527
17.95	4.442563
18.00	4.431713
18.08	4.743436
18.11	4.906520
18.20	4.988233
18.20	4.964098
18.33	4.488006
18.33	4.391849
18.41	4.266870
18.41	4.906233
18.59	4.887028
18.66	4.773963
18.69	4.515219
18.75	5.141929
18.76	4.597463
18.83	5.184760
18.97	4.857851
19.00	4.987578
19.08	4.842651
19.08	4.693837
19.08	4.446863
19.18	4.570371
19.19	4.728223
19.25	4.800519
19.28	4.731695
19.31	4.715507
19.34	4.745871
19.42	4.648907
19.49	4.596016
19.64	4.416074
19.69	4.911568
19.71	4.711733
19.75	4.739094
19.94	4.574770
19.97	4.648057
19.99	4.498304
20.01	4.457676
20.07	4.280262
20.14	4.975425
20.18	4.761491
20.18	4.430806
20.26	5.060947
20.31	4.836148
20.34	4.985596
20.40	4.753557
20.48	4.724282
20.55	4.835487
20.61	4.881173
20.65	5.019979
20.81	5.257367
20.84	4.742732
20.87	4.566109
20.89	4.875215
21.03	5.615526
21.04	4.712846
21.13	5.146420
21.15	4.759225
21.28	4.700364
21.29	4.652396
21.29	4.817189
21.34	5.240446
21.36	4.885462
21.36	4.901832
21.40	4.999684
21.51	5.337935
21.53	5.003905
21.60	4.453222
21.64	4.591622
21.90	4.452636
22.08	4.157863
22.19	5.142683
22.22	4.686569
22.24	4.928743
22.28	5.115404
22.28	4.682042
22.36	4.776258
22.38	4.907564
22.40	4.906470
22.63	4.636421
22.69	5.052704
22.71	5.006409
22.83	4.737888
22.84	4.504405
22.93	4.958333
23.11	5.196880
23.12	5.155129
23.14	5.018159
23.20	4.699216
23.27	4.707163
23.30	4.713079
23.42	4.707076
23.47	4.987296
23.52	4.864099
23.77	4.375910
23.91	4.394853
23.93	4.824291
23.96	4.907485
24.12	4.233131
24.20	4.635888
24.30	4.796890
24.33	5.155446
24.34	4.286783
24.39	4.536139
24.49	4.599923
24.54	4.913849
24.55	4.922710
24.62	4.719828
24.88	4.426918
24.99	4.632362
25.00	4.719879
25.00	4.729355
25.05	5.265721
25.09	4.640807
25.12	4.879066
25.16	4.673650
25.17	4.489943
25.19	4.968987
25.20	4.517343
25.41	5.523802
25.54	4.823141
25.59	4.825063
25.65	4.853364
25.71	5.240911
25.91	5.065982
25.95	4.837252
26.07	4.658453
26.09	4.630318
26.22	4.753753
26.25	5.213737
26.25	4.882755
26.40	4.720700
26.42	5.098015
26.53	5.266295
26.56	4.716367
26.56	4.818767
26.69	5.036321
26.76	4.948789
26.89	5.061592
26.94	5.348550
27.06	4.914903
27.08	4.889824
27.09	5.001354
27.12	4.947664
27.14	5.096941
27.29	4.834007
27.33	5.010881
27.45	4.479065
27.69	4.923476
27.71	4.820946
27.80	4.632364
27.91	4.826733
27.95	4.972999
27.96	4.973086
27.98	5.093371
28.01	5.155225
28.10	5.087116
28.11	4.838878
28.14	4.567961
28.18	4.879916
28.32	5.212414
28.35	4.869631
28.37	4.490677
28.44	5.022846
28.59	4.950455
28.62	4.829849
28.68	4.923340
28.70	5.222347
28.81	5.224799
28.97	4.825926
29.03	4.942666
29.03	4.536478
29.08	4.738062
29.10	5.452060
29.15	5.274502
29.17	4.852686
29.20	4.776884
29.34	4.598344
29.57	5.471513
29.60	4.998657
29.67	4.731513
29.69	5.209517
29.73	4.615104
29.78	5.101641
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179.54	7.689361
179.63	7.999939
179.68	8.030918
179.68	8.030269
179.69	7.756718
179.72	8.321700
179.81	7.668656
179.87	7.730720
179.98	7.934340
179.99	8.467326
180.01	8.066721
180.03	8.094892
180.16	7.966003
180.16	8.137712
180.58	8.248297
180.64	8.286867
180.73	8.422670
180.74	7.895486
180.77	7.970472
180.85	8.173385
181.06	8.276269
181.16	7.936744
181.19	8.212693
181.30	7.942887
181.49	7.974631
181.55	8.303036
181.64	7.639311
181.66	8.145387
181.69	8.251485
181.84	8.003806
181.84	8.196214
181.87	7.903376
182.04	8.102802
182.09	8.062445
182.10	8.152852
182.11	7.901053
182.11	8.139353
182.14	7.916512
182.15	8.130098
182.16	8.406061
182.20	7.978352
182.24	8.151818
182.30	8.175756
182.34	8.062633
182.37	8.371523
182.49	8.129388
182.67	8.148725
182.88	7.897430
183.00	8.114435
183.15	8.008249
183.34	8.338570
183.34	8.487882
183.37	8.114842
183.38	7.576184
183.39	7.998622
183.39	7.986431
183.40	8.445189
183.44	8.255748
183.47	8.601184
183.52	8.320226
183.53	7.833111
183.61	8.243728
183.74	8.033037
183.75	8.230151
183.81	8.184587
183.87	8.143985
183.88	8.037158
183.91	8.630302
184.05	8.497464
184.19	7.947679
184.28	8.169670
184.36	8.427841
184.37	8.415631
184.40	7.906154
184.41	8.492450
184.42	8.013851
184.44	8.161661
184.46	8.192189
184.54	7.670002
184.54	8.186673
184.55	7.614903
184.57	7.678415
184.60	8.270129
184.68	8.255311
184.82	8.463584
184.89	8.254887
184.93	8.001558
184.94	7.989818
185.02	8.351139
185.09	8.512759
185.19	8.339698
185.25	8.264231
185.31	8.122751
185.57	8.547104
185.61	7.507078
185.68	8.368227
185.89	8.168076
185.92	7.828225
185.94	8.339166
186.00	7.924930
186.01	8.226001
186.23	8.256384
186.28	8.225300
186.44	7.666976
186.69	8.260605
186.72	8.076705
186.83	8.034054
186.87	7.824095
186.87	7.835325
186.87	7.928599
186.88	8.471748
186.91	8.303791
186.93	8.238708
187.02	8.649121
187.03	8.743020
187.04	8.505740
187.06	8.004140
187.07	8.608270
187.10	8.269468
187.12	8.179332
187.14	8.299385
187.21	8.315734
187.37	8.106530
187.43	8.451217
187.57	8.119489
187.59	8.138801
187.61	8.186427
187.65	8.150079
187.68	8.358421
187.71	8.225687
187.73	8.156025
187.82	8.355948
187.85	7.873792
187.88	8.313110
187.98	8.515312
188.01	8.480110
188.05	8.847943
188.13	8.180041
188.34	8.044974
188.36	8.341524
188.37	7.898684
188.39	8.592673
188.54	8.038222
188.55	8.429637
188.55	8.175549
188.66	7.685131
188.73	8.304836
188.92	8.044249
189.01	8.560575
189.02	7.627127
189.12	8.217249
189.13	8.066651
189.14	8.551791
189.27	8.068041
189.43	8.513835
189.53	8.162927
189.62	8.272455
189.65	8.645588
189.70	8.109458
189.72	8.764655
189.78	8.536540
189.79	8.641150
189.84	7.708400
189.93	8.227871
190.00	7.863346
190.01	8.489819
190.07	8.605694
190.08	8.105616
190.15	8.102057
190.16	7.824605
190.29	8.487734
190.34	8.635380
190.35	7.905017
190.35	7.856871
190.36	8.606035
190.37	8.597135
190.54	8.382889
190.65	8.340562
190.69	8.174685
190.70	8.414760
190.80	8.176965
190.84	8.780808
190.86	8.207666
190.86	7.485654
190.96	8.374991
191.04	8.025715
191.08	8.505690
191.20	7.913476
191.21	8.215305
191.24	8.357602
191.33	8.280682
191.38	7.753263
191.42	7.873090
191.48	8.057395
191.52	8.776117
191.58	8.398340
191.61	8.678901
191.64	8.484874
191.74	8.246457
191.74	8.671898
191.78	8.143263
191.83	8.820255
191.87	8.629048
191.87	8.493783
192.01	8.593669
192.16	8.470905
192.25	8.308240
192.27	8.364119
192.43	8.309041
192.49	8.719668
192.50	8.519873
192.63	8.412817
192.66	8.105286
192.73	8.539964
192.74	8.148363
192.78	8.217097
192.81	8.909697
192.88	8.091004
193.30	8.159251
193.48	8.274798
193.49	8.221061
193.49	8.158619
193.57	8.293069
193.61	8.120489
193.63	8.675615
193.71	8.440878
193.73	8.634537
193.77	8.018643
193.89	8.386386
193.96	8.586394
194.00	8.374528
194.02	8.434399
194.05	8.121430
194.13	8.282821
194.13	8.348775
194.32	8.199407
194.33	8.530952
194.36	8.789903
194.37	8.698795
194.39	8.515710
194.45	8.410423
194.57	8.594001
194.59	8.222846
194.73	8.406229
194.88	8.421617
195.01	7.813744
195.17	8.854159
195.33	8.127110
195.43	7.723531
195.52	8.349914
195.57	8.416853
195.64	8.357999
195.69	8.475141
195.89	8.053768
195.96	8.518124
195.99	8.765172
196.04	8.160318
196.05	8.436469
196.09	8.352275
196.19	8.324804
196.22	8.643927
196.32	8.499442
196.50	8.832960
196.60	8.316927
196.67	8.720486
196.82	8.276086
196.90	8.362169
196.91	8.378221
196.95	8.511976
196.99	8.476634
197.04	8.446290
197.06	8.569831
197.19	8.204517
197.26	8.370280
197.26	8.653034
197.28	8.749520
197.31	8.584585
197.44	8.667347
197.61	8.710015
197.62	8.632327
197.68	8.434071
197.73	8.438914
197.83	8.625498
197.95	8.356154
197.96	8.467004
198.03	8.447048
198.07	8.063298
198.07	8.563547
198.11	8.632502
198.13	8.454724
198.14	8.908517
198.15	8.426054
198.16	8.614700
198.31	8.623150
198.38	8.666170
198.53	8.594428
198.58	8.412180
198.60	8.620838
198.80	8.523381
198.83	8.530881
198.84	8.659898
198.89	8.673183
198.93	8.457869
199.01	8.372733
199.14	8.802058
199.19	8.503253
199.25	8.375934
199.52	8.233440
199.55	8.537497
199.72	8.586788
199.78	8.185487
199.89	8.122911
199.96	8.536049
199.99	8.285275
Autor: GRUPO 3

# Nueva gráfica de nube de puntos

plot(
  TVP_realista$x,
  TVP_realista$y,
  main = "Nube de puntos",
  xlab = "Concentración del contaminante (mg/kg)",
  ylab = "pH del suelo",
  pch = 16,           
  col = "skyblue"      
)
#Paso 4: Conjetura
#La nube de puntos sugiere una regresión ya que son directamente proporcionales
#Paso 5: Calculo de párametros
regresion <- lm(TVP_realista$y ~ TVP_realista$x)
regresion

## 
## Call:
## lm(formula = TVP_realista$y ~ TVP_realista$x)
## 
## Coefficients:
##    (Intercept)  TVP_realista$x  
##        4.31731         0.02086

#Extraemos la pendiente y el interceptor
m <- coef(regresion)[2]
m

## TVP_realista$x 
##     0.02085619

I <- coef(regresion)[1]
I

## (Intercept) 
##    4.317309

#Fórmula matemática
# y = mx + I
#Paso 6: Gráfica de de disperción entre el modelo y la realidad
# Recta de ajuste lineal

abline(
  lm(TVP_realista$y ~ TVP_realista$x, data = TVP_realista),
  lwd = 2              
)

#Paso 7: Test
#Person
# Coeficiente de correlación de Pearson


r <- cor(TVP_realista$x, TVP_realista$y) * 100
r

## [1] 97.74191

#Paso 8 : # Coeficiente de determinación (r²)

r2 <- r * r / 100
r2

## [1] 95.53481

#Paso 9: Restricciones
#Dominios:
#y = pH del suelo: D={x|x ∈ R+} U {0}
#x = Concentración de contaminante:D={x|x ∈ R+} U {0} 
#¿Existe algún valor en dominio de x que sustituido en el modelo matemático genere un valor en y fuera de su dominio?
# No existe ningún valor del dominio de X que, al ser sustituido en el modelo matemático,
# genere un valor de Y fuera de su dominio permitido.
# Esto se debe a que X representa una concentración (x ≥ 0) y el modelo se aplica
# únicamente dentro del rango observado de datos, para el cual el pH del suelo
# permanece dentro de valores físicamente y químicamente posibles.

#Paso 10: Pronóstico 
#¿Qué valor de pH del suelo se espera al tener una concentración de contaminante de 116(mg/kg)
pH_esperado<- m*116+I
pH_esperado

## TVP_realista$x 
##       6.736627

# 11. Conclusión 
#Entre pH del suelo y concentración de contaminante(mg/kg), existe una relación de tipo lineal y su ecuación es 
#ŷ = 0.02079x + 4.31811, siendo "y = pH" y "x = concentración de contaminante(mg/kg)", donde el pH depende un 95.61%
#de la concentración del contaminante y el resto 4.39 se debe a otros factores, no tiene restricciones.