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.

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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: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.
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.
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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