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5.7 – Predicting with Linear Models

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Today we will be learning how to: ◦ Determine whether a linear model is appropriate ◦ Use a linear model to make a real-life prediction

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Modeling real-life situations is a major goal for this course Today we will decide whether a linear model can be used to represent real-life data

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Example 1 The manager of a restaurant made the following table. Which data are better modeled by a linear model? Average Price Per Pound ($) YearFishMeat 19913.752.50 19934.252.70 19955.253.00 19976.753.30 19998.753.50

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Example 2 Write a linear model for the average meat prices given in Example 1. Average Price Per Pound ($) YearFishMeat 19913.752.50 19934.252.70 19955.253.00 19976.753.30 19998.753.50

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Linear interpolation – method of estimating the coordinates of a point that lies between two given data points Linear extrapolation – method of estimating the coordinates of a point that lies to the right of left of all of the given data points

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Example 3 ◦ Use the linear model from Example 2 to estimate the average price per pound of meat in the given year. Tell whether you use linear interpolation or linear extrapolation. 2002 1998

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HOMEWORK Page 319 #11-22 all #25 – 34

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