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redict the instantaneous rate of change in residential retail sale of electricity in 2027.  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

redict the instantaneous rate of change in residential retail sale of electricity in 2027.  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

Advanced Engineering Mathematics
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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Predict the instantaneous rate of change in residential retail sale of electricity in 2027.  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.

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 Year 2000 2003 2006 2009 2012 2015 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: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 Year 2000 2003 2006 2009 2012 2015 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.
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