1. One of the more challenging problems confronting the water pollution control field is presented by the tanning industry. Tannery wastes are chemically complex. They are characterized by high values of biochemical oxygen demand, volatile solids, and other pollution measures. A study conducted by Virginia Polytechnic Institute and State University measured the percent reduction in total solids (x) and percent reduction in chemical oxygen demand (y) of 33 samples of chemically treated waste.

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ANSWER ONLY letter D & E.

Linear Regression and Correlation Problem
1. One of the more challenging problems confronting the water pollution control field
is presented by the tanning industry. Tannery wastes are chemically complex. They
are characterized by high values of biochemical oxygen demand, volatile solids, and
other pollution measures. A study conducted by Virginia Polytechnic Institute and
State University measured the percent reduction in total solids (x) and percent
reduction in chemical oxygen demand (y) of 33 samples of chemically treated waste.
Table 11.1: Measures of Reduction in Solids and Oxygen Demand
Solids Reduction,
a (%)
3
Oxygen Demand
Reduction, y (%)
5
Solids Reduction,
1 (%)
36
Oxygen Demand
Reduction, y (%)
34
7
11
37
36
11
21
38
38
15
16
39
37
18
16
39
36
27
28
39
45
29
27
40
39
30
25
41
41
30
35
42
40
31
30
42
44
31
40
43
37
32
32
44
44
33
34
45
46
33
32
46
46
34
34
47
49
36
37
50
51
36
38
a. Compute the value of Sxx, Sy, Sxx, and r.
b. Determine the regression line model/equation.
c. Determine the coefficient of determination r? Explain the meaning of this quantity in
the context of this problem.
d. Using a = 0.01, test HO: B1 = 0 vs. H1: B1 6= 0
%3D
e. Imagine that the next solid reduction level is at 54%. what would be your best estimate
of the oxygen demand reduction?
Transcribed Image Text:Linear Regression and Correlation Problem 1. One of the more challenging problems confronting the water pollution control field is presented by the tanning industry. Tannery wastes are chemically complex. They are characterized by high values of biochemical oxygen demand, volatile solids, and other pollution measures. A study conducted by Virginia Polytechnic Institute and State University measured the percent reduction in total solids (x) and percent reduction in chemical oxygen demand (y) of 33 samples of chemically treated waste. Table 11.1: Measures of Reduction in Solids and Oxygen Demand Solids Reduction, a (%) 3 Oxygen Demand Reduction, y (%) 5 Solids Reduction, 1 (%) 36 Oxygen Demand Reduction, y (%) 34 7 11 37 36 11 21 38 38 15 16 39 37 18 16 39 36 27 28 39 45 29 27 40 39 30 25 41 41 30 35 42 40 31 30 42 44 31 40 43 37 32 32 44 44 33 34 45 46 33 32 46 46 34 34 47 49 36 37 50 51 36 38 a. Compute the value of Sxx, Sy, Sxx, and r. b. Determine the regression line model/equation. c. Determine the coefficient of determination r? Explain the meaning of this quantity in the context of this problem. d. Using a = 0.01, test HO: B1 = 0 vs. H1: B1 6= 0 %3D e. Imagine that the next solid reduction level is at 54%. what would be your best estimate of the oxygen demand reduction?
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