The following table shows fuel consumption in billions of gallons of all vehicles in the U.S. for yearssince 1990.YearFuel Use130.83137.36147.49161.412168.715174.818170.8Let F(t) be the fuel consumption in billions of gallons in t years since 1990. A quadratic model forthe data is F(t) = - 0.114t? + 4.62t + 127.598.1751701651601551501451401351306 9 1215125Use the above scatter plot to decide whether the quadratic model fits the data well.O The function is not a good model for the dataO The function is a good model for the data.Estimate the fuel consumption in the U. S. in 2009.billions of gallons.Use the model to predict the year in which U.S. fuel consumption will peak.n| 00

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Description: The following table shows fuel consumption in billions of gallons of all vehicles in the U.S. for yearssince 1990.YearFuel Use130.83137.36147.49161.412168.715174.818170.8Let F(t) be the fuel consumption in billions of gallons in t years since 1990.

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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 130.8 3 137.3 6 147.4 161.4 12 168.7 15 174.8 18 170.8

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

The following table shows fuel consumption in billions of gallons of all vehicles in the U.S. for years
since 1990.
Year
Fuel Use
130.8
3
137.3
6
147.4
9
161.4
12
168.7
15
174.8
18
170.8
Let F(t) be the fuel consumption in billions of gallons in t years since 1990. A quadratic model for
the data is F(t) = - 0.114t? + 4.62t + 127.598.
175
170
165
160
155
150
145
140
135
130
6 9 12
15
125
Use the above scatter plot to decide whether the quadratic model fits the data well.
O The function is not a good model for the data
O The function is a good model for the data.
Estimate the fuel consumption in the U. S. in 2009.
billions of gallons.
Use the model to predict the year in which U.S. fuel consumption will peak.
n| 00

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