The World Bank collects information on the life expectancy of a person in each country ("Life expectancy at," 2013) and the fertility rate per woman in the country ("Fertility rate," 2013). The data for 12 randomly selected countries for the year 2011 are shown in the table below. Table: Data of Fertility Rates versus Life Expectancy Fertility Rate Life Expectancy 1.7 77 5.8 55 2.2 70 2.1 76 1.8 75 2.0 78 2.6 73 1.5 81 6.9 54 2.9 72 4.7 63 6.8 57 The most commonly used type of correlation is Pearson correlation, named after Karl Pearson, introduced around the turn of the 20th century. Pearson's r measures the linear relationship between two variables, say X and Y. Find the Pearson’s correlation coefficient for the above data In reference to the calculated correlation coefficient above, describe the strength of the correlation. Briefly give an explanation to meaning of the above results. Obtain the coefficient of determination and explain what it means.
The World Bank collects information on the life expectancy of a person in each country ("Life expectancy at," 2013) and the fertility rate per woman in the country ("Fertility rate," 2013). The data for 12 randomly selected countries for the year 2011 are shown in the table below. Table: Data of Fertility Rates versus Life Expectancy Fertility Rate Life Expectancy 1.7 77 5.8 55 2.2 70 2.1 76 1.8 75 2.0 78 2.6 73 1.5 81 6.9 54 2.9 72 4.7 63 6.8 57 The most commonly used type of correlation is Pearson correlation, named after Karl Pearson, introduced around the turn of the 20th century. Pearson's r measures the linear relationship between two variables, say X and Y. Find the Pearson’s correlation coefficient for the above data In reference to the calculated correlation coefficient above, describe the strength of the correlation. Briefly give an explanation to meaning of the above results. Obtain the coefficient of determination and explain what it means.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Question
- The World Bank collects information on the life expectancy of a person in each country ("Life expectancy at," 2013) and the fertility rate per woman in the country ("Fertility rate," 2013). The data for 12 randomly selected countries for the year 2011 are shown in the table below.
Table: Data of Fertility Rates versus Life Expectancy
Fertility Rate |
Life Expectancy |
1.7 |
77 |
5.8 |
55 |
2.2 |
70 |
2.1 |
76 |
1.8 |
75 |
2.0 |
78 |
2.6 |
73 |
1.5 |
81 |
6.9 |
54 |
2.9 |
72 |
4.7 |
63 |
6.8 |
57 |
The most commonly used type of
- Find the Pearson’s
correlation coefficient for the above data - In reference to the calculated correlation coefficient above, describe the strength of the correlation.
- Briefly give an explanation to meaning of the above results.
- Obtain the coefficient of determination and explain what it means.
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