1. Data for the Per Capita Energy Consumption and Per Capita GNP output for eight different countries have been complied by Meadows et al, (1972) as tabulated below: Per Capita Energy Consumption, Y Country # 1 2 3 4 5 6 7 8 Per Capita GNP, X 600 2,700 2,900 4,200 3,100 5,400 8,600 10,300 1,000 700 1,400 2,000 2,500 2,700 2,500 4,000 In the above table, X = the Per Capita GNP of a country in 1972 U.S. dollar equivalent Y = the Per Capita Energy Consumption in kilos of coal equivalent. (a) Plot the data on a two-dimensional graph. (b) Determine the regression equation for predicting the Per Capita Energy Consumption on the basis of a country's Per Capita GNP output, and draw the regression line on the graph of Part (a). (c) Determine the correlation coefficient between X and Y.

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1. Data for the Per Capita Energy Consumption and Per Capita GNP output for eight
different countries have been complied by Meadows et al, (1972) as tabulated below:
Per Capita Energy Consumption, Y
Country #
1
2
3
4
5
6
7
8
Per Capita GNP, X
600
2,700
2,900
4,200
3,100
5,400
8,600
10,300
1,000
700
1,400
2,000
2,500
2,700
2,500
4,000
In the above table,
X = the Per Capita GNP of a country in 1972 U.S. dollar equivalent
Y = the Per Capita Energy Consumption in kilos of coal equivalent.
(a) Plot the data on a two-dimensional graph.
(b) Determine the regression equation for predicting the Per Capita Energy Consumption
on the basis of a country's Per Capita GNP output, and draw the regression line on
the graph of Part (a).
(c) Determine the correlation coefficient between X and Y.
Transcribed Image Text:1. Data for the Per Capita Energy Consumption and Per Capita GNP output for eight different countries have been complied by Meadows et al, (1972) as tabulated below: Per Capita Energy Consumption, Y Country # 1 2 3 4 5 6 7 8 Per Capita GNP, X 600 2,700 2,900 4,200 3,100 5,400 8,600 10,300 1,000 700 1,400 2,000 2,500 2,700 2,500 4,000 In the above table, X = the Per Capita GNP of a country in 1972 U.S. dollar equivalent Y = the Per Capita Energy Consumption in kilos of coal equivalent. (a) Plot the data on a two-dimensional graph. (b) Determine the regression equation for predicting the Per Capita Energy Consumption on the basis of a country's Per Capita GNP output, and draw the regression line on the graph of Part (a). (c) Determine the correlation coefficient between X and Y.
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