Let a represent time (in years) with = 0 corresponding to 2000, and let y represent the corresponding residential sales. Find the quadratic regression equation for the data y = R(x) = ax²+bx+c with a rounded to the nearest hundredth (2 decimal places), b rounded to the nearest tenth (1 decimal place), and c rounded to the nearest integer. (See the Regression page in the Getting Started module for ways of computing a regression model.) Use this quadratic model to answer the questions below.
Let a represent time (in years) with = 0 corresponding to 2000, and let y represent the corresponding residential sales. Find the quadratic regression equation for the data y = R(x) = ax²+bx+c with a rounded to the nearest hundredth (2 decimal places), b rounded to the nearest tenth (1 decimal place), and c rounded to the nearest integer. (See the Regression page in the Getting Started module for ways of computing a regression model.) Use this quadratic model to answer the questions below.
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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
Transcribed Image Text:Electricity Consumption
The table below gives the retail sale of electricity (in billions of kilowatt-hours) for the
residential and commercial sectors of the United States.
Year
2000
2003
2006
2009
2012
2015
Residential (billions of kilowatt-hours)
1,192
1,276
1,400
1,420
1,402
1,390
Let a represent time (in years) with = 0 corresponding to 2000, and let y represent the
corresponding residential sales. Find the quadratic regression equation for the data
y = R(x) = ax² +bx+c
with a rounded to the nearest hundredth (2 decimal places), b rounded to the nearest tenth (1
decimal place), and c rounded to the nearest integer. (See the Regression page in the Getting
Started module for ways of computing a regression model.)
Use this quadratic model to answer the questions below.

Transcribed Image Text:Use this quadratic model above to answer this question.
Predict the instantaneous rate of change in residential retail sale of electricity in 2028. Round
to the nearest billion of kilowatt-hours. NOTE: You may get the wrong answer if you do not
use the quadratic model with coefficients rounded as described above.
billion of kilowatt-hours per year
NOTE: Your answer might be negative.
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