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The World Bank collects information on the life expectancy of a person (in years) in each country and the fertility rate (children per woman) in the country. The data for 23 randomly selected countries for a certain year are in the table below.X, fertility rate Y, average life expectancy2.6 731.7 77.22 78.21.5 763.9 72.31.4 80.71.8 755.2 55.92.6 68.96.9 54.21.4 82.64.7 62.92.1 78.32.9 72.14.2 666.8 54.42.4 67.12.2 69.92.1 76.41.5 73.35.8 55.42.8 70.82.5 74.2a) State the random variables.    rv X = of     rv Y = of b) The symbol and value of the correlation coefficient are as follows:    Round final answer to 3 decimal places.    =     Interpret this value:There is a strong relation between fertility rate and average life expectancy for countries.c) The symbol and value of the coefficient of determination are as follows:    Round final answer to 3 decimal places.    =      Interpret this value:About % of the explained by the linear model with as its variable.

Question

The World Bank collects information on the life expectancy of a person (in years) in each country and the fertility rate (children per woman) in the country. The data for 23 randomly selected countries for a certain year are in the table below.X, fertility rate Y, average life expectancy2.6 731.7 77.22 78.21.5 763.9 72.31.4 80.71.8 755.2 55.92.6 68.96.9 54.21.4 82.64.7 62.92.1 78.32.9 72.14.2 666.8 54.42.4 67.12.2 69.92.1 76.41.5 73.35.8 55.42.8 70.82.5 74.2a) State the random variables.    rv X = of     rv Y = of b) The symbol and value of the correlation coefficient are as follows:    Round final answer to 3 decimal places.    =     Interpret this value:There is a strong relation between fertility rate and average life expectancy for countries.c) The symbol and value of the coefficient of determination are as follows:    Round final answer to 3 decimal places.    =      Interpret this value:About % of the explained by the linear model with as its variable.

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Solution

a) The random variables are: rv X = Fertility rate of a country rv Y = Average life expectancy in a country

b) To calculate the correlation coefficient, you would need to use the formula for Pearson's correlation coefficient. However, without the actual data, we cannot calculate this value. The interpretation of this value would be the strength and direction of the linear relationship between fertility rate and average life expectancy.

c) The coefficient of determination is the square of the correlation coefficient. Again, without the actual data, we cannot calculate this value. The interpretation of this value would be the proportion of the variance in the dependent variable (life expectancy) that is predictable from the independent variable (fertility rate).

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Similar Questions

Use the two frequency tables to compare the life expectancy of men and women from 20 randomly selected countries. Include an overlayed frequency polygon and discuss the shapes of the distributions, the center, the spread, and any outliers.Life Expectancy at Birth – Women Frequency49–55 356–62 363–69 170–76 277–83 884–90 3Life Expectancy at Birth – Men Frequency49–55 356–62 363–69 170–76 177–83 784–90 5Construct an overlayed frequency polygon. Describe the shapes of the distributions.The graphs for men and women are both symmetric.The graphs for men and women are both skewed to the right.    The graphs for men and women are both skewed to the left.The graph for women is skewed to the left and the graph for men is symmetric.The graph for women is symmetric and the graph for men is skewed to the right.What can we conclude about the life expectancy of women compared to men?The graphs show that a larger proportion of men in this sample have a life expectancy greater than women. Therefore, we can conclude that men tend to live slightly longer than women in this sample.The graphs show that the men and women in this sample have about the same life expectancy. Therefore, we can conclude that neither men nor women live longer than the other.    The graphs show that a larger proportion of women in this sample have a life expectancy greater than men. Therefore, we can conclude that women tend to live slightly longer than men in this sample.

Question 1.Life expectancy at birth means:(a) average expected length of life of a person at the time of birth(b) average expected length of life of a person at the time of death(c) average expected length of a child at the time of birth(d) None of the aboveQuestion 2.Which one of the following is the most important attribute while comparing the level ofdevelopment of various countries?(a) Population(b) Social status of the people(c) Political status(d) Per capita incomeQuestion 3.Underemployment occurs when people:(a) do not want to work(b) are working in a lazy manner(c) are working less than what they are capable of doing(d) are not paid for their workQuestion 4.One common development goal among the people is:(a) family(b) freedom(c) income(d) securityQuestion 5.Which one of the following is not a feature of developing country?(a) Agriculture as the major occupation(b) High technological development(c) Mass poverty(d) Mass illiterac

Which statement is true of life expectancy?Group of answer choicesThe life expectancy at birth is higher for males than for females in almost all societies.In the United States, the average life expectancy for males was 81 years, while it was 76 for females.Women in Hong Kong rank at the top in terms of life expectancy.By region, life expectancy is lowest in Western and Southern Europe.

The average life expectancy around the world is currentlya.not changingb.decreasingc.stabilizingd.increasing

why is birth rate and death rate an important indicator of the quality of life in a country

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