In biofiltration of wastewater, air discharged from a treatment facility is passed through a damp porous membrane that causes contaminants to dissolve in water and be transformed into harmless products. Air discharge usually contains hydrogen sulfide, organic sulfides, and other volatile organic compounds (VOCS). For this experiment, it is desired to investigate the relationship between air inlet temperature and removal efficiency of porous membrane. The accompanying data on x = inlet temperature (°C) and y = removal efficiency (%) is shown below. Removal Removal Observation Temp Observation Temp % 1 7.68 98.09 17 8.55 98.27 6.51 98.25 18 7.59 98 6.49 97.82 19 6.94 98.09 4 5.48 97.82 20 8.31 98.25 6.57 97.82 21 10.5 98.41 10.13 97.93 22 16.02 98.51 7 15.71 98.38 23 17.83 98.71 16.77 98.89 24 17.03 98.79 9. 17.13 98.96 25 16.18 98.87 10 17.63 98.9 26 16.31 98.76 11 16.72 98.68 27 14.44 98.58 12 15.45 98.69 28 12.78 98.73 13 12.21 98.51 29 12.25 98.45 14 11.44 98.09 30 11.64 98.37 15 10.17 98.25 31 11.34 98.36 16 9.64 98.36 32 10.97 98.45 Using the data in Experiment 1, determine if there is sufficient evidence that inlet temperature could improve the removal efficiency of the membrane. a. How does the inlet temperature affect the removal rate? b. How strong is the relationship you concluded in 1a? c. How significant is the relationship in 1a? d. To a certain degree, can you estimate the expected removal rate with inlet temperature? Demonstrate this using an example. What is the typical deviation from the estimate? e. Using residual analysis, verify that your conclusion in 1a-1c and your estimate in 1d are valid. f. support your residual analysis in 1e by checking the normality of the errors in estimates.

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Author:Amos Gilat
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Please help me with letter f only. Use Kolmogorov- Smirnov test to support the residual analysis (provided on the second picture).

 

Table 1.5. Residuals
Predicted
Inlet
Removal
Residuals
Removal
Temperature Efficiency (Y)
(Y – Ý)
Efficiency (Y)
98.09
98.25
7.68
98.079
0.011
6.51
97.991
0.259
6.49
97.82
97.989
-0.169
5.48
97.82
97.82
97.913
97.995
-0.093
6.57
-0.175
10.13
97.93
98.265
-0.335
15.71
98.38
98.687
-0.307
0.122
0.165
16.77
98.89
98.768
17.13
17.63
16.72
98.96
98.795
98.9
98.833
0.067
98.68
98.69
98.764
-0.084
15.45
98.668
0.022
12.21
98.51
98.422
0.088
11.44
10.17
98.09
98.364
98.268
-0.274
98.25
-0.018
98.36
9.64
8.55
98.228
0.132
98.27
98.145
0.125
7.59
98
98.073
98.023
-0.073
6.94
98.09
0.067
8.31
98.25
98.127
0.123
10.5
98.41
98.293
0.117
16.02
98.51
98.711
-0.201
17.83
17.03
98.71
98.848
-0.138
98.79
98.787
0.003
16.18
98.87
98.723
0.147
16.31
98.76
98.733
0.027
14.44
98.58
98.591
-0.011
12.78
98.73
98.45
98.466
0.264
0.025
12.25
98.425
11.64
98.37
98.379
-0.009
11.34
98.36
98.357
0.003
10.97
98.45
98.329
0.121
Transcribed Image Text:Table 1.5. Residuals Predicted Inlet Removal Residuals Removal Temperature Efficiency (Y) (Y – Ý) Efficiency (Y) 98.09 98.25 7.68 98.079 0.011 6.51 97.991 0.259 6.49 97.82 97.989 -0.169 5.48 97.82 97.82 97.913 97.995 -0.093 6.57 -0.175 10.13 97.93 98.265 -0.335 15.71 98.38 98.687 -0.307 0.122 0.165 16.77 98.89 98.768 17.13 17.63 16.72 98.96 98.795 98.9 98.833 0.067 98.68 98.69 98.764 -0.084 15.45 98.668 0.022 12.21 98.51 98.422 0.088 11.44 10.17 98.09 98.364 98.268 -0.274 98.25 -0.018 98.36 9.64 8.55 98.228 0.132 98.27 98.145 0.125 7.59 98 98.073 98.023 -0.073 6.94 98.09 0.067 8.31 98.25 98.127 0.123 10.5 98.41 98.293 0.117 16.02 98.51 98.711 -0.201 17.83 17.03 98.71 98.848 -0.138 98.79 98.787 0.003 16.18 98.87 98.723 0.147 16.31 98.76 98.733 0.027 14.44 98.58 98.591 -0.011 12.78 98.73 98.45 98.466 0.264 0.025 12.25 98.425 11.64 98.37 98.379 -0.009 11.34 98.36 98.357 0.003 10.97 98.45 98.329 0.121
In biofiltration of wastewater, air discharged from a treatment facility is passed through a damp porous membrane that causes contaminants to
dissolve in water and be transformed into harmless products. Air discharge usually contains hydrogen sulfide, organic sulfides, and other volatile
organic compounds (VOCS).
For this experiment, it is desired to investigate the relationship between air inlet temperature and removal efficiency of porous membrane. The
accompanying data on x = inlet temperature (°C) and y = removal efficiency (%) is shown below.
Removal
Removal
Observation Temp
Observation Temp
%
%
1
7.68
98.09
17
8.55
98.27
6.51
98.25
18
7.59
98
3
6.49
97.82
19
6.94
98.09
4
5.48
97.82
20
8.31
98.25
5
6.57
97.82
21
10.5
98.41
10.13
97.93
22
16.02 98.51
7
15.71
98.38
23
17.83 98.71
8
16.77 98.89
24
17.03 98.79
9.
17.13
98.96
25
16.18 98.87
10
17.63
98.9
26
16.31
98.76
11
16.72 98.68
27
14.44 98.58
12
15.45 98.69
28
12.78 98.73
13
12.21
98.51
29
12.25 98.45
14
11.44 98.09
30
11.64 98.37
15
10.17
98.25
31
11.34 98.36
16
9.64
98.36
32
10.97 98.45
Using the data in Experiment 1, determine if there is sufficient evidence that inlet temperature could improve the removal efficiency of the
membrane.
a. How does the inlet temperature affect the removal rate?
b. How strong is the relationship you concluded in 1a?
c. How significant is the relationship in 1a?
d. To a certain degree, can you estimate the expected removal rate with inlet temperature? Demonstrate this using an example. What is the
typical deviation from the estimate?
e. Using residual analysis, verify that your conclusion in 1a-1c and your estimate in 1d are valid.
f. support your residual analysis in 1e by checking the normality of the errors in estimates.
Transcribed Image Text:In biofiltration of wastewater, air discharged from a treatment facility is passed through a damp porous membrane that causes contaminants to dissolve in water and be transformed into harmless products. Air discharge usually contains hydrogen sulfide, organic sulfides, and other volatile organic compounds (VOCS). For this experiment, it is desired to investigate the relationship between air inlet temperature and removal efficiency of porous membrane. The accompanying data on x = inlet temperature (°C) and y = removal efficiency (%) is shown below. Removal Removal Observation Temp Observation Temp % % 1 7.68 98.09 17 8.55 98.27 6.51 98.25 18 7.59 98 3 6.49 97.82 19 6.94 98.09 4 5.48 97.82 20 8.31 98.25 5 6.57 97.82 21 10.5 98.41 10.13 97.93 22 16.02 98.51 7 15.71 98.38 23 17.83 98.71 8 16.77 98.89 24 17.03 98.79 9. 17.13 98.96 25 16.18 98.87 10 17.63 98.9 26 16.31 98.76 11 16.72 98.68 27 14.44 98.58 12 15.45 98.69 28 12.78 98.73 13 12.21 98.51 29 12.25 98.45 14 11.44 98.09 30 11.64 98.37 15 10.17 98.25 31 11.34 98.36 16 9.64 98.36 32 10.97 98.45 Using the data in Experiment 1, determine if there is sufficient evidence that inlet temperature could improve the removal efficiency of the membrane. a. How does the inlet temperature affect the removal rate? b. How strong is the relationship you concluded in 1a? c. How significant is the relationship in 1a? d. To a certain degree, can you estimate the expected removal rate with inlet temperature? Demonstrate this using an example. What is the typical deviation from the estimate? e. Using residual analysis, verify that your conclusion in 1a-1c and your estimate in 1d are valid. f. support your residual analysis in 1e by checking the normality of the errors in estimates.
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