The following table shows fuel consumption in billions of gallons of all vehicles in the U.S. for years since 1990. Year Fuel Use 0 130.8 3 137.3 6 147.4 9 161.4 12 168.7 15 174.8 18 170.8 Let F(t)F(t) be the fuel consumption in billions of gallons in t years since 1990. A quadratic model for the data is F(t)=−0.114t2+4.62t+127.598F(t)=-0.114t2+4.62t+127.598. 369121518125130135140145150155160165170175 Use the above scatter plot to decide whether the quadratic model fits the data well. The function is a good model for the data. The function is not a good model for the data Correct Estimate the fuel consumption in the U. S. in 2013. billions of gallons. Use the model to predict the year in which U.S. fuel consumption will peak.
The following table shows fuel consumption in billions of gallons of all vehicles in the U.S. for years since 1990. Year Fuel Use 0 130.8 3 137.3 6 147.4 9 161.4 12 168.7 15 174.8 18 170.8 Let F(t)F(t) be the fuel consumption in billions of gallons in t years since 1990. A quadratic model for the data is F(t)=−0.114t2+4.62t+127.598F(t)=-0.114t2+4.62t+127.598. 369121518125130135140145150155160165170175 Use the above scatter plot to decide whether the quadratic model fits the data well. The function is a good model for the data. The function is not a good model for the data Correct Estimate the fuel consumption in the U. S. in 2013. billions of gallons. Use the model to predict the year in which U.S. fuel consumption will peak.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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The following table shows fuel consumption in billions of gallons of all vehicles in the U.S. for years since 1990.
| Year | Fuel Use |
|---|---|
| 0 | 130.8 |
| 3 | 137.3 |
| 6 | 147.4 |
| 9 | 161.4 |
| 12 | 168.7 |
| 15 | 174.8 |
| 18 | 170.8 |
Let F(t)F(t) be the fuel consumption in billions of gallons in t years since 1990. A quadratic model for the data is F(t)=−0.114t2+4.62t+127.598F(t)=-0.114t2+4.62t+127.598.
369121518125130135140145150155160165170175
Use the above scatter plot to decide whether the quadratic model fits the data well.
- The
function is a good model for the data. - The function is not a good model for the data
Estimate the fuel consumption in the U. S. in 2013. billions of gallons.
Use the model to predict the year in which U.S. fuel consumption will peak.
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