Question

Might we be able to predict life expectancies from birthrates? Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both x, the number of births per one thousand people in the population, and y, the female life expectancy (in years), are given. Also shown are the scatter plot for the data and the least squares regression line. The equation for this line is 9 = = 82.46 -0.48x Birthrate, (number of births per 1000 pop) 46.5 51.1 18.2 13.6 Female life expectancy. V (in years) 58.8 58.1 72.9 72.4 412 15.4 49.4 64.6 76.7 61.4 73.4 73.3 24.1 25.9 34.6 30.9 50.6 68.9 62.0 Figure 1 54.4

Answer 1

1)

Lesser than

2)

Decrease

3)

Predicted Y at X=   13.6   is                  
Ŷ=   82.45526   +   -0.47961   *13.6=   75.933   

= 75.9

4)

72.4

Please let me know in case of any doubt.

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