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measure, so it is common to measure TOC and use regression to predict BOD. A typical regression equation for water entering a municipal treatment plant is BOD= -55.42 +1.507 TOC Both BOD and TOC are measured in milligrams per liter of water. (a) What does the slope of this line say about the relationship between BOD and TOC? O TOC rises (falls) by 1.507 mg/l for every 1 mg/l increase (decrease) in BOD O BOD rises (falls) by 1.507 mg/l for every 1 mg/l increase (decrease) in TOC O TOC rises (falls) by 1.507 mg/l for every 55.42 mg/l increase (decrease) in BOD BOD rises (falls) by 55.42 mg/l for every 1 mg/l increase (decrease) in TOC (b) What is the predicted BOD when TOC = 0? Values of BOD less than 0 are impossible. Why do you think the prediction gives an impossible value? O This arises from extrapolation; the data used to find this regression formula must not have included values of TOC near 0. O There must be lurking variables; these factors have created a regression equation that allows for impossible values. O The regression equation is incorrect; a correct regression equation would never provide impossible values.

measure, so it is common to measure TOC and use regression to predict BOD. A typical regression equation for water entering a municipal treatment plant is BOD= -55.42 +1.507 TOC Both BOD and TOC are measured in milligrams per liter of water. (a) What does the slope of this line say about the relationship between BOD and TOC? O TOC rises (falls) by 1.507 mg/l for every 1 mg/l increase (decrease) in BOD O BOD rises (falls) by 1.507 mg/l for every 1 mg/l increase (decrease) in TOC O TOC rises (falls) by 1.507 mg/l for every 55.42 mg/l increase (decrease) in BOD BOD rises (falls) by 55.42 mg/l for every 1 mg/l increase (decrease) in TOC (b) What is the predicted BOD when TOC = 0? Values of BOD less than 0 are impossible. Why do you think the prediction gives an impossible value? O This arises from extrapolation; the data used to find this regression formula must not have included values of TOC near 0. O There must be lurking variables; these factors have created a regression equation that allows for impossible values. O The regression equation is incorrect; a correct regression equation would never provide impossible values.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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microorganisms that break down these compounds. BOD is hard to measure accurately. Total organic carbon (TOC) is easy to measure, so it is common to measure TOC and use regression to predict BOD. A typical regression equation for water entering a municipal treatment plant is BOD= -55.42 + 1.507 TOC Both BOD and TOC are measured in milligrams per liter of water. (a) What does the slope of this line say about the relationship between BOD and TOC? O TOC rises (falls) by 1.507 mg/l for every 1 mg/l increase (decrease) in BOD O BOD rises (falls) by 1.507 mg/l for every 1 mg/l increase (decrease) in TOC O TOC rises (falls) by 1.507 mg/l for every 55.42 mg/l increase (decrease) in BOD O BOD rises (falls) by 55.42 mg/l for every 1 mg/l increase (decrease) in TOC (b) What is the predicted BOD when TOC = 0? Values of BOD less than 0 are impossible. Why do you think the prediction gives an impossible value? This arises from extrapolation; the data used to find this regression formula must not have included values of TOC near 0. O There must be lurking variables; these factors have created a regression equation that allows for impossible values. O The regression equation is incorrect; a correct regression equation would never provide impossible values.
Transcribed Image Text:microorganisms that break down these compounds. BOD is hard to measure accurately. Total organic carbon (TOC) is easy to measure, so it is common to measure TOC and use regression to predict BOD. A typical regression equation for water entering a municipal treatment plant is BOD= -55.42 + 1.507 TOC Both BOD and TOC are measured in milligrams per liter of water. (a) What does the slope of this line say about the relationship between BOD and TOC? O TOC rises (falls) by 1.507 mg/l for every 1 mg/l increase (decrease) in BOD O BOD rises (falls) by 1.507 mg/l for every 1 mg/l increase (decrease) in TOC O TOC rises (falls) by 1.507 mg/l for every 55.42 mg/l increase (decrease) in BOD O BOD rises (falls) by 55.42 mg/l for every 1 mg/l increase (decrease) in TOC (b) What is the predicted BOD when TOC = 0? Values of BOD less than 0 are impossible. Why do you think the prediction gives an impossible value? This arises from extrapolation; the data used to find this regression formula must not have included values of TOC near 0. O There must be lurking variables; these factors have created a regression equation that allows for impossible values. O The regression equation is incorrect; a correct regression equation would never provide impossible values.
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