The South Florida Water Management District (SFWMD) must develop a linear regression model that can be used to estimate the fresh water needs of various com- munities. SFWMD has collected data on 50 communities, noting each community's population and total annual fresh water consumption. Using this data, you have calculated the following regression equation: Y = 200.12 + 24.9X where X is the population of the community and Y is the total annual fresh water consumption, in acre-feet. (An acre-foot is enough water to cover 1 acre, 1 foot deep.) a. Using this regression model for estimation, how much fresh water would a com-lar munity of 1,500 people consume each year? A community of 45,000? b. According to this regression model, each new person who moves to a community increases its annual fresh water consumption by how much? c. According to this regression model, if a town were abandoned, such that no one was living there for the entire year, what would the town's fresh water consump- tion be? Is this possible?
The South Florida Water Management District (SFWMD) must develop a linear regression model that can be used to estimate the fresh water needs of various com- munities. SFWMD has collected data on 50 communities, noting each community's population and total annual fresh water consumption. Using this data, you have calculated the following regression equation: Y = 200.12 + 24.9X where X is the population of the community and Y is the total annual fresh water consumption, in acre-feet. (An acre-foot is enough water to cover 1 acre, 1 foot deep.) a. Using this regression model for estimation, how much fresh water would a com-lar munity of 1,500 people consume each year? A community of 45,000? b. According to this regression model, each new person who moves to a community increases its annual fresh water consumption by how much? c. According to this regression model, if a town were abandoned, such that no one was living there for the entire year, what would the town's fresh water consump- tion be? Is this possible?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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![The South Florida Water Management District (SFWMD) must develop a linear
regression model that can be used to estimate the fresh water needs of various com-
munities. SFWMD has collected data on 50 communities, noting each community's
population and total annual fresh water consumption. Using this data, you have
calculated the following regression equation:
Y = 200.12 + 24.9X
where X is the population of the community and Y is the total annual fresh water
consumption, in acre-feet. (An acre-foot is enough water to cover 1 acre, 1 foot
deep.)
a. Using this regression model for estimation, how much fresh water would a com-lar
munity of 1,500 people consume each year? A community of 45,000?
b. According to this regression model, each new person who moves to a community
increases its annual fresh water consumption by how much?
c. According to this regression model, if a town were abandoned, such that no one
was living there for the entire year, what would the town's fresh water consump-
tion be? Is this possible?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2e11b141-1113-47d8-b91f-edef1156a29b%2F0a5ac5d9-1032-4b8e-8027-2a84e45314f0%2Frl4582_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The South Florida Water Management District (SFWMD) must develop a linear
regression model that can be used to estimate the fresh water needs of various com-
munities. SFWMD has collected data on 50 communities, noting each community's
population and total annual fresh water consumption. Using this data, you have
calculated the following regression equation:
Y = 200.12 + 24.9X
where X is the population of the community and Y is the total annual fresh water
consumption, in acre-feet. (An acre-foot is enough water to cover 1 acre, 1 foot
deep.)
a. Using this regression model for estimation, how much fresh water would a com-lar
munity of 1,500 people consume each year? A community of 45,000?
b. According to this regression model, each new person who moves to a community
increases its annual fresh water consumption by how much?
c. According to this regression model, if a town were abandoned, such that no one
was living there for the entire year, what would the town's fresh water consump-
tion be? Is this possible?
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