Let a represent time (in years) with x = 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.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Predict the residential retail sale of electricity in 2025.  Round to the nearest billion of kilowatt-hours.   How many predicted billions of kilowatt-hours?

NOTE: You may get the wrong answer if you do not use the quadratic model with coefficients rounded.

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.
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 x = 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.)
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. 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 x = 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.)
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