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                    iv.  Determine at the 5% level of significance whether there is evidence to indicate a linear relationship between energy consumption, x , and Gross National Product, y .                                                                                                                          v.  Find a 95% confidence interval for 1 β                                                              vi.  Find the correlation coefficient, r .

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...
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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  
                
iv. 
Determine at the 5% level of significance whether there is evidence to indicate a linear relationship between energy consumption, x , and Gross National Product, y .                                                                                                                         
v. 
Find a 95% confidence interval for 1 β
                                                            
vi. 
Find the correlation coefficient, r .                                                                   

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