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.

Chapter13: Regression And Forecasting Models

Section13.3: Simple Regression Models

Problem 8P: The management of a technology company is trying to determine the variable that best explains the...

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