The document analyzes temperature and absorption data from two reactors to determine if there is a correlation. Data from Reactor 1 shows a strong correlation with an R-squared value close to 1. Data from Reactor 2 does not show a correlation, with an R-squared value of 0.570, indicating no strong correlation. Overall analysis of both reactors together finds a moderate correlation of 0.815 R-squared, meaning the correlation is not very strong.

2. Queremos saber existe una correlación entre la absorción y la
temperatura en un reactor.
Tenemos dos reactores. A continuación se muestran los datos:
datos reactor
temperatura absorcion
x y
1 1 50.01 64.3
2 1 58.62 71.2
3 1 58.97 72.4
4 1 59.21 72.9
5 2 60.34 67
6 2 61.36 69.8
7 2 62.11 77.1
8 2 62.3 74.1
9 1 63.13 76.4
10 2 64.11 78.5
11 2 64.86 75.8
12 2 65.76 79.9
13 2 66.91 78.3
14 2 67.29 73.3
15 1 68.5 82.7
16 2 68.57 78.7
17 1 68.64 82
18 2 68.93 81.8
19 2 69.66 81.5
20 2 70.51 78.5
21 2 70.93 79.9
22 1 71.55 84.5
23 1 73.68 87.3
24 1 74.44 86.8

3. datos reactor x y x2 y2 xy
1 1 50.01 64.3 2501.0001 4134.49 3215.643
2 1 58.62 71.2 3436.3044 5069.44 4173.744
3 1 58.97 72.4 3477.4609 5241.76 4269.428
4 1 59.21 72.9 3505.8241 5314.41 4316.409
5 2 60.34 67 3640.9156 4489 4042.78
6 2 61.36 69.8 3765.0496 4872.04 4282.928
7 2 62.11 77.1 3857.6521 5944.41 4788.681
8 2 62.3 74.1 3881.29 5490.81 4616.43
9 1 63.13 76.4 3985.3969 5836.96 4823.132
10 2 64.11 78.5 4110.0921 6162.25 5032.635
11 2 64.86 75.8 4206.8196 5745.64 4916.388
12 2 65.76 79.9 4324.3776 6384.01 5254.224
13 2 66.91 78.3 4476.9481 6130.89 5239.053
14 2 67.29 73.3 4527.9441 5372.89 4932.357
15 1 68.5 82.7 4692.25 6839.29 5664.95
16 2 68.57 78.7 4701.8449 6193.69 5396.459
17 1 68.64 82 4711.4496 6724 5628.48
18 2 68.93 81.8 4751.3449 6691.24 5638.474
19 2 69.66 81.5 4852.5156 6642.25 5677.29
20 2 70.51 78.5 4971.6601 6162.25 5535.035
21 2 70.93 79.9 5031.0649 6384.01 5667.307
22 1 71.55 84.5 5119.4025 7140.25 6045.975
23 1 73.68 87.3 5428.7424 7621.29 6432.264
24 1 74.44 86.8 5541.3136 7534.24 6461.392
1570.39 1854.7 103498.664 144121.51 122051.458

4. SCx = 743.465696
SCY = 791.839583
SCXY = 693.027458
r = 0.90323627
r2 = 0.81583577
ao= 290582.436 17843.1767 16.2853533
a1 = 16632.659 17843.1767 0.93215795
y = 0.932x + 16.28
R² = 0.815
0
10
20
30
40
50
60
70
80
90
100
40 45 50 55 60 65 70 75 80
x Linear (x) Linear (x)
Podemos observar que el valor de R cuadrada es de 0.8158 , esto quiero decir
que la correlación no es muy fuerte

5. Ahora los analizaremos por separado.
REACTOR 1
datos x y x2 y2 xy
1 50.01 64.3 2501.0001 4134.49 3215.643
2 58.62 71.2 3436.3044 5069.44 4173.744
3 58.97 72.4 3477.4609 5241.76 4269.428
4 59.21 72.9 3505.8241 5314.41 4316.409
5 63.13 76.4 3985.3969 5836.96 4823.132
6 68.5 82.7 4692.25 6839.29 5664.95
7 68.64 82 4711.4496 6724 5628.48
8 71.55 84.5 5119.4025 7140.25 6045.975
9 73.68 87.3 5428.7424 7621.29 6432.264
10 74.44 86.8 5541.3136 7534.24 6461.392
646.75 780.5
42399.144
5 61456.13 51031.417

6. SCx = 570.58825
SCY = 538.105
SCXY = 552.5795
r= 0.77775014
r2 = 0.60489528
ao= 87963.3375 5705.8825 15.4162546
a1 = 5525.795 5705.8825 0.96843827
y = 0.968x + 15.41
R² = 0.994
0
20
40
60
80
100
0 10 20 30 40 50 60 70 80
reactor 1
En el reactor 1 existe una fuerte correlación, ya que se aproxima al 1.

7. Reactor 2
datos x y x2 y2 xy
1 60.34 67 3640.9156 4489 4042.78
2 61.36 69.8 3765.0496 4872.04 4282.928
3 62.11 77.1 3857.6521 5944.41 4788.681
4 62.3 74.1 3881.29 5490.81 4616.43
5 64.11 78.5 4110.0921 6162.25 5032.635
6 64.86 75.8 4206.8196 5745.64 4916.388
7 65.76 79.9 4324.3776 6384.01 5254.224
8 66.91 78.3 4476.9481 6130.89 5239.053
9 67.29 73.3 4527.9441 5372.89 4932.357
10 68.57 78.7 4701.8449 6193.69 5396.459
11 68.93 81.8 4751.3449 6691.24 5638.474
12 69.66 81.5 4852.5156 6642.25 5677.29
13 70.51 78.5 4971.6601 6162.25 5535.035
14 70.93 79.9 5031.0649 6384.01 5667.307
923.64 1074.2 61099.5192 82665.38 71020.041
Reactor 2

8. SCx = 163.029943
SCY = 243.548571
SCXY = 150.463286
r= 0.75509929
r2 = 0.57017493
ao= 15.4162546
a1 = 0.96843827
y = 0.922x + 15.84
R² = 0.570
0
10
20
30
40
50
60
70
80
90
58 60 62 64 66 68 70 72
reactor 2
El valor de R cuadrada nos muestra que no existe
correlación en este reactor.