Japan's high population density has resulted in a multitude of resource-usage problems. One especially serious difficulty concerns waste removal. The article "Innovative Sludge Handling Through Pelletization Thickening"+ reported the development of a new compression machine for processing sewage sludge. An important part of the investigation involved relating the moisture content of compressed pellets (y, in %) to the machine's filtration rate (x, in kg-DS/m/hr). Consider the following data. x 125.1 98.3 201.5 147.1 145.7 124.6 112.2 120.0 161.2 179.0 77.7 76.7 81.5 79.8 78.1 78.3 77.4 77.0 80.3 80.2 y X 159.7 145.9 75.0 151.3 144.4 125.1 198.6 132.5 159.8 110.7 79.9 78.9 76.8 78.2 79.6 77.9 V 81.3 76.9 78.8 78.8 Relevant summary quantities are Σx, = 2817.7 ΣΥ, = 1574.1, Σx2 = 415,920.19, Σxy = 222,534.06, Σy} = 123,930.31. Also, X = 140.885, y = 78.71, Sxx = 18,948.5255, Sxy= 766.982, and SSE 10.091. The estimated standard deviation is a = 0.749 and the equation of the least squares line is y = 73.070 + 0.040x. Consider the filtration rate-moisture content data introduced above. (a) Compute a 90 % CI for ßo + 1256₁, true average moisture content when the filtration rate is 125. (Round your answers to three decimal places.) (b) Predict the value of moisture content for a single experimental run in which the filtration rate is 125 using a 90% prediction level. (Round your answers to three decimal places.) How does this interval compare to the interval of part (a)? Why is this the case? The width of the confidence interval in part (a) is ---Select-- the width of the prediction interval in part (b) since the ---Select--- B interval must account for both the uncertainty in knowing the value of the population mean in addition to the data scatter. (c) How would the intervals of parts (a) and (b) compare to a CI and PI when filtration rate is 115? Answer without actually calculating these new intervals. Because the value of 115, denoted by x*, is ---Select--- interval is ---Select--- B 8x than 125, the term (x*- x)2 will be ---Select--- B, making the standard error ---Select--- B, and thus the width of the

Japan's high population density has resulted in a multitude of resource-usage problems. One especially serious difficulty concerns waste removal. The article "Innovative Sludge Handling Through Pelletization Thickening"+ reported the development of a new compression machine for processing sewage sludge. An important part of the investigation involved relating the moisture content of compressed pellets (y, in %) to the machine's filtration rate (x, in kg-DS/m/hr). Consider the following data. x 125.1 98.3 201.5 147.1 145.7 124.6 112.2 120.0 161.2 179.0 77.7 76.7 81.5 79.8 78.1 78.3 77.4 77.0 80.3 80.2 y X 159.7 145.9 75.0 151.3 144.4 125.1 198.6 132.5 159.8 110.7 79.9 78.9 76.8 78.2 79.6 77.9 V 81.3 76.9 78.8 78.8 Relevant summary quantities are Σx, = 2817.7 ΣΥ, = 1574.1, Σx2 = 415,920.19, Σxy = 222,534.06, Σy} = 123,930.31. Also, X = 140.885, y = 78.71, Sxx = 18,948.5255, Sxy= 766.982, and SSE 10.091. The estimated standard deviation is a = 0.749 and the equation of the least squares line is y = 73.070 + 0.040x. Consider the filtration rate-moisture content data introduced above. (a) Compute a 90 % CI for ßo + 1256₁, true average moisture content when the filtration rate is 125. (Round your answers to three decimal places.) (b) Predict the value of moisture content for a single experimental run in which the filtration rate is 125 using a 90% prediction level. (Round your answers to three decimal places.) How does this interval compare to the interval of part (a)? Why is this the case? The width of the confidence interval in part (a) is ---Select-- the width of the prediction interval in part (b) since the ---Select--- B interval must account for both the uncertainty in knowing the value of the population mean in addition to the data scatter. (c) How would the intervals of parts (a) and (b) compare to a CI and PI when filtration rate is 115? Answer without actually calculating these new intervals. Because the value of 115, denoted by x, is ---Select--- interval is ---Select--- B 8x than 125, the term (x- x)2 will be ---Select--- B, making the standard error ---Select--- B, and thus the width of the

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter10: Exponential And Logarithmic Functions

Section10.2: Applications Of Exponential Functions

Problem 47PS

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