Posted on by Judy

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- 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

Y = 200.12 + 24.9X
X is the population of the community
Y is the total annual fresh water consumption
a) 1,500 people consume each year
X = 1500
Fresh water consumption Y = 200.12 + 24.9*1500 = 200.12 + 37350 = 37550.12
X = 45000
Y = 200.12+24.9*45000 = 1120700
b)
If new person who moves to a community increases its annual fresh water consumption by 24.9
c)
If no one was living there X=0
fresh water consumption Y = 200.12+24.9*0 = 200.12
Probably its not possible
 
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