14. The covariance between the mean age at childbearing and the total fertility

Question

14. The covariance between the mean age at childbearing and the total fertility rate is- 06. How much predictive power does the mean age at childbearing have in predicting the total fertility rate? Calculate the coefficient of determination and interpret this quantity Mean Age at Childbearing Total Fertility Rate 1.83 1.90 1.39 1.38 2.00 1.32 1.70 Denmark Ireland Greece Spain France Ital 30.29 30.66 29.87 30.88 29.72 30.87 30.58 Netherlands Mean Standard Deviation Variance 30.41 0.47 .22 1.65 .28 .08

Explanation / Answer

sorting the data by mean age

As we can see from the graph, there is no clear increase or decrease. However if we take greece out of the equation, it seems like as mean age increases the fertility rate is decreasing ( Ireland again will be an exception).

The biggest exception will be Greece which dips a lot from 2 to 1.32

Country Mean age at child bearing Total Fertility rate France 29.72 2 Greece 29.87 1.39 Denmark 30.29 1.83 Netherlands 30.58 1.7 Ireland 30.66 1.9 Italy 30.87 1.32 Spain 30.88 1.38

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