5.7 – Predicting with Linear Models
Dec 31, 2015
5.7 – Predicting with Linear Models
Today we will be learning how to:◦ Determine whether a linear model is appropriate
◦ Use a linear model to make a real-life prediction
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
Example 1 The manager of a
restaurant made the following table.
Which data are better modeled by a linear model?
Average Price Per Pound ($)
Year Fish Meat
1991 3.75 2.50
1993 4.25 2.70
1995 5.25 3.00
1997 6.75 3.30
1999 8.75 3.50
Example 2 Write a linear
model for the average meat prices given in Example 1.
Average Price Per Pound ($)
Year Fish Meat
1991 3.75 2.50
1993 4.25 2.70
1995 5.25 3.00
1997 6.75 3.30
1999 8.75 3.50
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
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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