Income (in 1960 dollars/person) for 18 European countries and the percent of the labor force (in %) that works in agriculture in 1960 are in the table below ('OECD economic development,' 2013).
X, percent of labor in agriculture Y, income
27 504
44 238
18 1049
11 1361
20 1013
15 1242
4 1105
14 1644
25 839
20 977
11 810
36 529
42 290
6 1005
23 681
15 1035
56 324
79 177
a) State the random variables.
rv X =
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of
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rv Y =
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of
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b) The symbol and value of the correlation coefficient are as follows:
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=
Interpret this value:
There is a strong
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relation between percent of labor in agriculture and income for European countries.
c) The symbol and value of the coefficient of determination are as follows:
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=
Interpret this value:
About
% of the
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explained by the linear model with
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as its
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variable.
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