Consider a large number of countries around the world.  There is a positive correlation between the number of Nintendo games per person (x) and the average life expectancy (y).  Does this mean that we can increase the life expectancy in a country by shipping more Nintendo games to that country? 1 Yes. As long as a correlation is positive, we can conclude that one variable causes the other. 2 No. We can only conclude that one variable causes another if the variables are negatively correlated. 3 Yes, but it will depend on how strong the correlation is; as long as the correlation is larger than 0.70, we can conclude that one variable causes the other. 3 No. An association between two variables does not mean that one variable causes the other.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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Consider a large number of countries around the world.  There is a positive correlation between the number of Nintendo games per person (x) and the average life expectancy (y).  Does this mean that we can increase the life expectancy in a country by shipping more Nintendo games to that country?

1 Yes. As long as a correlation is positive, we can conclude that one variable causes the other.
2 No. We can only conclude that one variable causes another if the variables are negatively correlated.
3 Yes, but it will depend on how strong the correlation is; as long as the correlation is larger than 0.70, we can conclude that one variable causes the other.
3 No. An association between two variables does not mean that one variable causes the other.
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