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(Solved): As part of an international study on energy consumption, data were collected on the number of cars i ...



As part of an international study on energy consumption, data were collected on the number of cars in the country and the total travel in kilometers. The data for 11 countries are shown below:

 

Country

Total Cars (millions)

Travel (billion km)

Finland

1.82

34.66

Denmark

1.66

30.76

Britain

21.32

352.76

Australia

8.53

138.22

Sweden

3.32

53.21

Netherlands

5.53

83.69

France

23.27

348.2

Norway

1.59

23.54

Italy

26.12

367.85

Germany

43.75

608.52

Japan

40.25

439.3

The Excel output from a least squares linear regression of the travel on the number of cars is shown below.

 

SUMMARY OUTPUT

 

 

 

 

 

 

 

 

 

 

 

 

Regression Statistics

 

 

 

 

 

Multiple R

0.981387

 

 

 

 

 

R Square

0.963121

 

 

 

 

 

Adjusted R Square

0.959023

 

 

 

 

 

Standard Error

41.31075

 

 

 

 

 

Observations

11

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Coefficients

Standard Error

t Stat

P-value

Lower 95%

Upper 95%

Intercept

20.78336

18.26151

1.138

0.284

-20.527

62.093

Total Cars (millions)

12.7122

0.829183

15.33

0.000

 10.836

14.587

 

  1. Find coefficient of determination and interpret it.  Comment on the goodness of fit.
  2. Find coefficient of correlation and interpret it.
  3. Provide an interpretation for the slope of the estimated regression equation. Interpret the value of the slope. Is the slope b1statistically significant? Use a = 0.05.
  4. Use the regression line to predict the number of kilometers traveled for Sweden. How well do the predictions agree with the original data?


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we use excel for this analysis step 1) put all data in excel step 2) click on data then click on data analysis step 3) select regression , give the range of x and y Here is excel output Find coefficient of determination and interpret it. Comment on t
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