In: Statistics and Probability
The World Bank collected data on the percentage of GDP that a country spends on health expenditures ("Health expenditure," 2013) and also the percentage of women receiving prenatal care ("Pregnant woman receiving," 2013). The data for the countries where this information is available for the year 2011 is in the table below:
Health Expenditure (% of GDP) |
Prenatal Care (%) |
9.6 |
47.9 |
3.7 |
54.6 |
5.2 |
93.7 |
5.2 |
84.7 |
10.0 |
100.0 |
4.7 |
42.5 |
4.8 |
96.4 |
6.0 |
77.1 |
5.4 |
58.3 |
4.8 |
95.4 |
4.1 |
78.0 |
6.0 |
93.3 |
9.5 |
93.3 |
6.8 |
93.7 |
6.1 |
89.8 |
1. Determine the correlation between variables (if it exists) in this relation. Which variable is the dependent (output) variable?
A. Percent of women receiving prenatal care
B. Percent of GDP spent on healthcare
2. Using technology, determine the coefficient of correlation r (enter r value to the nearest ten-thousandth, with its sign (no spaces)
3. What type of linear correlation does the calculated r value indicate?
A. Weak negative correlation
B. Weak positive correlation
C. No linear correlation
D. None of the above
4. Use the correlation coefficient r to find the coefficient of determination r2 (enter r value to the nearest ten-thousandth)
5. What percentage of the variability in the percentage of women receiving prenatal care is accounted for by the percentage of GDP spent on healthcare?
A. 17.15%
B. 97.06%
C. 2.94%
D. None of the above
1. (B) The dependent variable is petcent of GDP spent on healthcare.
2.
Therefore the nearest ten thousand r value is 0.20000 .
3. (B) weak positive relationship between x and y.