C2. In this exercise, we will investigate the relationships between adolescent fertility rate and female labor force participation in South America. Data are presented for 2014. Female Labor Force Participation Country Adolescent Fertility Rate Rate Argentina 40.4 63.9 Bolivia 44.6 71.1 Brazil 43.8 67.3 Chile 40.8 48.1 Colombia 42.6 51.7 Ecuador 40.4 76.2 Paraguay 39.2 58.0 Peru 45.3 49.7 Uruguay 44.5 56.5 Venezuela 39.9 79.7 Source: World Bank, Health Nutrition and Population Statistics, 2014. a. Construct a scatterplot for adolescent fertility rate and labor force participation rate. Do you think the scatterplot can be characterized by a linear relationship? b. Calculate the coefficient of determination and correlation coefficient. c. Describe the relationship between the variables based on your calculations.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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C2. In this exercise, we will investigate the relationships between adolescent fertility rate and
female labor force participation in South America. Data are presented for 2014.
Female Labor Force Participation
Rate
Country
Adolescent Fertility Rate
Argentina
40.4
63.9
Bolivia
44.6
71.1
Brazil
43.8
67.3
Chile
40.8
48.1
Colombia
42.6
51.7
Ecuador
40.4
76.2
Paraguay
39.2
58.0
Peru
45.3
49.7
Uruguay
44.5
56.5
Venezuela
39.9
79.7
Source: World Bank, Health Nutrition and Population Statistics, 2014.
a. Construct a scatterplot for adolescent fertility rate and labor force participation rate.
Do you think the scatterplot can be characterized by a linear relationship?
b. Calculate the coefficient of determination and correlation coefficient.
c. Describe the relationship between the variables based on your calculations.
Transcribed Image Text:C2. In this exercise, we will investigate the relationships between adolescent fertility rate and female labor force participation in South America. Data are presented for 2014. Female Labor Force Participation Rate Country Adolescent Fertility Rate Argentina 40.4 63.9 Bolivia 44.6 71.1 Brazil 43.8 67.3 Chile 40.8 48.1 Colombia 42.6 51.7 Ecuador 40.4 76.2 Paraguay 39.2 58.0 Peru 45.3 49.7 Uruguay 44.5 56.5 Venezuela 39.9 79.7 Source: World Bank, Health Nutrition and Population Statistics, 2014. a. Construct a scatterplot for adolescent fertility rate and labor force participation rate. Do you think the scatterplot can be characterized by a linear relationship? b. Calculate the coefficient of determination and correlation coefficient. c. Describe the relationship between the variables based on your calculations.
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