As part of an international study on energy consumption, data were
collected on the number of cars in a country and the total travel in
kilometres. The data for 12 of the countries are shown below:
Country Total Cars
(millions) Travel
(billion km)
United States 142.35 3140.29
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 23.27 348.20
Norway 1.59 23.54
Italy 26.12 367.85
Germany 43.75 608.52
Japan 40.25 439.30
Source: The Economist, 22 June 1996.
Create a scatter plot of the data. Do you think that there is a linear
relationship between number of kilometres traveled and the number of
cars?
Find the least-squares regression line for the data. Interpret the value
of the slope.
Does the intercept make sense for these data? Why or why not?
Plot the regression line on the same plot with the data. Does the line
make you feel confident about predicting travel as a function of the
number of cars?
Use the regression line to predict the number of kilometres traveled for
Sweden and Japan. How well do the predictions agree with the original
data?
Statistics Homework Solutions
#10265
scatter plot & least squrares regression line
a. Create a scatter plot of the data. Do you think that there is a linear relationship between number of kilometres traveled and the number of cars?
b. Find the least-squares regression line for the data. Interpret the value of the slope.
c. Does the intercept make sense for these data? Why or why not?
d. Plot the regression line on the same plot with the data. Does the line make you feel confident about predicting travel as a function of the number of cars?
e. Use the regression line to predict the number of kilometres traveled for Sweden and Japan. How well do the predictions agree with the original data?
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