Food Production The chart shows how much milk Wisconsin dairy farms produced in 1955, 1980, and 2005. What linear model best fits this data? Use the model to estimate milk production in 2000.
Milk Production (in billions of lbs)
What data should you enter?
Enter the years, after 1900, and billions of pounds of milk produced.
Enter the data. Let x represent years after 1900. Let y represent billions of pounds of milk. |
Use LINREG to find a linear model:
The closer |
Show the scatter plot of the data and a graph of
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Use the model to estimate milk production in 2000.
In 2000, Wisconsin produced about 23.2 billion pounds of milk.
Food Production The graph shows the quadratic model for the milk production data in Problem 2. The quadratic model fits the data points exactly because of the
Is the quadratic model reasonable?
No; the quadratic model will show milk production eventually decreasing to below zero.
Linear Model: This model continually rises.
Quadratic Model: This model has down-and-down end behavior. It shows slowing growth, a turning point, and then a decline, eventually to 0 and negative values.
Despite the