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The data provides information on life expectancy and the number of televisions p

ID: 3357316 • Letter: T

Question

The data provides information on life expectancy and the number of televisions per thousand people in a sample of 22 countries, as reported by the World Almanac and Book of Facts 2006.

a. Describe the direction and strength of the association (correlation) between the two variables.

b. Because of the association between the variables, we might conclude that simply sending televisions to the countries with the lower life expectancies would cause their inhabitants to live longer. Comment on this argument.

Life Expectancy 38.45 80.45 59 80.15 72.4 71.05 79.7 52.95 68.75 81.25 57 75.25 70.75 63 67.3 43.3 73.25 51.6 78.45 77.8 70.7 61.8 TVs per K 15 716 1 Country 2 Angola 3 Australia 4 Cambodia 5 Canada 6 China 7 Egypt 8 France 9 Haiti 10 raq 11 Japan 12 Madagascar 3 Mexico 14 Morocco 15 Pakistan 16 Russia 17 South Africa Life Expectancy and TVs per K 709 291 170 620 800 700 82 719 23 272 165 105 421 138 102 28 661 844 184 286 Life Expectancy TV's per K Linear (Life Expectancy) Linear (TVs per K) 400 y= 1.2236x 1 284.34 200 100 10 15 20 25 18 Sri Lanka 19 Uganda 20 United Kingdom 1 United States 22 Vietnam 23 Yemen Country 0.5 0.74324917 Guess the "R" value Actual "R" value Equation of trendline:LE Equation of trendline: TV y=0.0473x+66.5 1.22x+286

Explanation / Answer

a.

As actual R = 0.743 the strength of the associaltion is strong and it is positive direction.

that is countries with more TV would have better chance of higher life expetance

b.

No. Its not a cause and effect relation but a chance correlation

c.

No. It does not mean there must be a cause-and-effect relationship between them because the cause for both the variables can be common and they both can be strongly positively associated to it

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