UESTION THREE  Energy consumption is claimed to be a good predictor of Gross National Product. An economist recorded the energy consumption ( ) x and the Gross National Product ( ) y for eight countries. The data are shown in the table below:  Energy Consumption ( ) x 3.4 7.7 12.0 75 58 67 113 131  Gross National Product ( ) y 55 240 390 1100 1390 1330 1400 1900   i.  Find the least squares equation for the data.                                                   ii.  Estimate the Gross National Product, y , of a country that has an energy consumption of 100.                                                                                                             iii.  Estimate the energy consumption of a country that has a Gross National Product of 3500.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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QUESTION THREE 
Energy consumption is claimed to be a good predictor of Gross National Product. An economist recorded the energy consumption ( ) x and the Gross National Product ( ) y for eight countries. The data are shown in the table below: 
Energy Consumption ( ) x 3.4 7.7 12.0 75 58 67 113 131 
Gross National Product ( ) y 55 240 390 1100 1390 1330 1400 1900  
i. 
Find the least squares equation for the data.                                                  
ii. 
Estimate the Gross National Product, y , of a country that has an energy consumption of 100.                                                                                                            
iii. 
Estimate the energy consumption of a country that has a Gross National Product of 3500.                                                                                                              

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