The table below gives the retail sale of electricity (in billions of kilowatt-hours) for the residential and commercial sectors of the United States. Residential (billions of kilowatt-hours) 1,192 1,276 1,400 1,420 1,402 1,390 Year 2000 2003 2006 2009 2012 2015 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.
The table below gives the retail sale of electricity (in billions of kilowatt-hours) for the residential and commercial sectors of the United States. Residential (billions of kilowatt-hours) 1,192 1,276 1,400 1,420 1,402 1,390 Year 2000 2003 2006 2009 2012 2015 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.
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:The table below gives the retail sale of electricity (in billions of kilowatt-hours) for the
residential and commercial sectors of the United States.
Residential (billions of kilowatt-hours)
Year
2000
2003
2006
2009
2012
2015
1,192
1,276
1,400
1,420
1,402
1,390
Let a represent time (in years) with a = 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.
Transcribed Image Text:Use this quadratic model above to answer this question.
Predict the residential retail sale of electricity in 2024. 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
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