EXAMPLE 6 Does television extend life?

Measure the number of television sets per person x and the life expectancy y for the world’s nations. There is a high positive correlation: nations with many TV sets have higher life expectancies.

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The basic meaning of causation is that by changing x we can bring about a change in y. Could we lengthen the lives of people in Botswana by shipping them TV sets? No. Rich nations have more TV sets than poor nations. Rich nations also have longer life expectancies because they offer better nutrition, clean water, and better health care. There is no cause-and-effect tie between TV sets and length of life.