4. A study to assess the capability of subsurface flow wetland systems to remove biochemical oxygen demand (BOD) and various other chemical constituents - BOD mass loading (kg/ha/d) and y resulted in the accompanying data on z = = BOD mass removal (kg/ha/d) ("Subsurface Flow Wetlands-A Performance Evaluation." Water Envir. Res., 1995: 244-247). x y 11 13 16 27 30 16 10 11 8 26 35 38 21 31 44 103 142 30 75 90 n = 10; Σ + = 459; Στ" – 37553; Σy - 318; Σy = 17244; Σ *y = 25314 Answer the following questions: (a) Plot an appropriate graph for the data. (b) Obtain the best lincar prediction equation. (c) For every additional unit change in BOD mass loading, by how much does the BOD mass removal change, on average? (d) Give the value of the statistic that measures the linear association between the BOD mass loading and BOD mass removal. Comment. ition in the BOD mass removal is explained by the

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4. A study to assess the capability of subsurface flow wetland systems to remove
biochemical oxygen demand (BOD) and various other chemical constituents
resulted in the accompanying data on z = BOD mass loading (kg/ha/d) and y
= BOD mass removal (kg/ha/d) ("Subsurface Flow Wetlands-A Performance
Evaluation." Water Envir. Res., 1995: 244-247).
x
Y
11
8
13 16 27
10 11 16
142
35 38 44 103
30
90
75
31 30
26 21
n = 10; Σ | n = 450; Σα" = 37653; Σy = 318; Σ y = 17244; Σ =y = 25344
Answer the following questions:
(a) Plot an appropriate graph for the data.
(b) Obtain the best lincar prediction equation.
(c) For every additional unit change in BOD mass loading, by how much does
the BOD mass removal change, on average?
(d) Give the value of the statistic that measures the linear association between
the BOD mass loading and BOD mass removal. Comment.
(e) What percent of variation in the BOD mass removal is explained by the
variation by the BOD mass loading?
(f) Predict the BOD mass removal, given that the BOD mass loading is 180
(kg/ha/d). Are you bothered or not by this prediction? Explain.
(g) What is your overall judgment about the linear fit? You may name two
appropriate criteria that may help you in answering this question.
(h) Is there anything in particular that bothers you about the data set?
Transcribed Image Text:4. A study to assess the capability of subsurface flow wetland systems to remove biochemical oxygen demand (BOD) and various other chemical constituents resulted in the accompanying data on z = BOD mass loading (kg/ha/d) and y = BOD mass removal (kg/ha/d) ("Subsurface Flow Wetlands-A Performance Evaluation." Water Envir. Res., 1995: 244-247). x Y 11 8 13 16 27 10 11 16 142 35 38 44 103 30 90 75 31 30 26 21 n = 10; Σ | n = 450; Σα" = 37653; Σy = 318; Σ y = 17244; Σ =y = 25344 Answer the following questions: (a) Plot an appropriate graph for the data. (b) Obtain the best lincar prediction equation. (c) For every additional unit change in BOD mass loading, by how much does the BOD mass removal change, on average? (d) Give the value of the statistic that measures the linear association between the BOD mass loading and BOD mass removal. Comment. (e) What percent of variation in the BOD mass removal is explained by the variation by the BOD mass loading? (f) Predict the BOD mass removal, given that the BOD mass loading is 180 (kg/ha/d). Are you bothered or not by this prediction? Explain. (g) What is your overall judgment about the linear fit? You may name two appropriate criteria that may help you in answering this question. (h) Is there anything in particular that bothers you about the data set?
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