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**Unformatted text preview: **MAC1105 Names:____________________________ Group work 3 September 8, 2011 ___________________________________________________________________________________________________ LINEAR REGRESSION It is fairly common in real world situations for data to approximate a certain kind of pattern (linear, quadratic, exponential, etc.) instead of being an exact example of that type of pattern. In such cases there are mathematical methods, involving formulas from statistics, for deriving equations that do a good job of modeling the data. These models are called regression formulas, and they can be used to provide useful approximate formulas when exact formulas might not exist. In the following example we will be investigating the idea of linear regression formulas. Given the following table for the population of a town in five year increments, where t measure years since 1985. Suppose the city manager of this town would like to estimate the population in the year 2015. Or, suppose a study committee has ascertained that the town will need another school, or more housing than is currently available, or a road upgrade, or perhaps...

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