3. Life ExpectancyWe have considered a regression equation to predict life expectancy from percent of government expenditure on health care, using data for a sample of 50 countries in SampCountries. Using technology and this dataset, find a 95% prediction interval for each of the following situations. (a) A country which puts only 3% of its expenditure into health care. Round your answers to one decimal place. (b) A country which puts 10% of its expenditure into health care. Round your answers to two decimal places. (c) A country which puts 50% of its expenditure into health care. Round your answers to two decimal places. Country Health LifeExpectancy Iceland 15.76 83.1 Kazakhstan 10.90 70.5 Lesotho 14.48 49.3 Uzbekistan 9.68 68.2 Peru 14.75 74.8 Iraq 5.99 69.5 Nicaragua 20.89 74.8 Zambia 12.57 58.1 Guinea-Bissau 7.79 54.3 Romania 12.17 74.5 United States 20.71 78.8 Sierra Leone 11.41 45.6 Malta 13.29 80.7 Luxembourg 13.64 81.8 Micronesia, Fed. Sts. 17.70 69.0 South Africa 14.02 56.7 Panama 12.79 77.6 Turkey 10.74 75.2 Nigeria 17.97 52.5 Hungary 10.23 75.3 Albania 9.85 77.5 Brunei Darussalam 7.42 78.6 Portugal 12.90 80.4 Comoros 7.55 60.9 Pakistan 4.73 66.6 Ethiopia 16.43 63.6 Belize 11.90 73.9 Sweden 14.98 81.7 Bulgaria 11.67 74.5 Botswana 8.75 47.4 Greece 11.66 80.6 Belarus 13.45 72.5 United Kingdom 16.18 81.0 Tunisia 13.33 73.6 Thailand 17.01 74.4 Croatia 12.67 77.1 Colombia 16.05 74.0 Samoa 17.00 73.3 Cuba 13.40 79.2 Guyana 13.87 66.2 South Sudan 4.00 55.2 Cote d'Ivoire 8.51 50.8 Burkina Faso 13.52 56.3 Malaysia 5.88 75.0 Australia 17.75 82.2 Indonesia 6.63 70.8 Kenya 5.85 61.7 Ireland 14.07 81.0 Grenada 9.56 72.7 Korea, Rep. 11.50 81.5
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
3. Life Expectancy
We have considered a regression equation to predict life expectancy from percent of government expenditure on health care, using data for a sample of 50 countries in SampCountries. Using technology and this dataset, find a 95% prediction interval for each of the following situations.
(a) A country which puts only 3% of its expenditure into health care. Round your answers to one decimal place.
(b) A country which puts 10% of its expenditure into health care. Round your answers to two decimal places.
(c) A country which puts 50% of its expenditure into health care. Round your answers to two decimal places.
| Country | Health | LifeExpectancy |
| Iceland | 15.76 | 83.1 |
| Kazakhstan | 10.90 | 70.5 |
| Lesotho | 14.48 | 49.3 |
| Uzbekistan | 9.68 | 68.2 |
| Peru | 14.75 | 74.8 |
| Iraq | 5.99 | 69.5 |
| Nicaragua | 20.89 | 74.8 |
| Zambia | 12.57 | 58.1 |
| Guinea-Bissau | 7.79 | 54.3 |
| Romania | 12.17 | 74.5 |
| United States | 20.71 | 78.8 |
| Sierra Leone | 11.41 | 45.6 |
| Malta | 13.29 | 80.7 |
| Luxembourg | 13.64 | 81.8 |
| Micronesia, Fed. Sts. | 17.70 | 69.0 |
| South Africa | 14.02 | 56.7 |
| Panama | 12.79 | 77.6 |
| Turkey | 10.74 | 75.2 |
| Nigeria | 17.97 | 52.5 |
| Hungary | 10.23 | 75.3 |
| Albania | 9.85 | 77.5 |
| Brunei Darussalam | 7.42 | 78.6 |
| Portugal | 12.90 | 80.4 |
| Comoros | 7.55 | 60.9 |
| Pakistan | 4.73 | 66.6 |
| Ethiopia | 16.43 | 63.6 |
| Belize | 11.90 | 73.9 |
| Sweden | 14.98 | 81.7 |
| Bulgaria | 11.67 | 74.5 |
| Botswana | 8.75 | 47.4 |
| Greece | 11.66 | 80.6 |
| Belarus | 13.45 | 72.5 |
| United Kingdom | 16.18 | 81.0 |
| Tunisia | 13.33 | 73.6 |
| Thailand | 17.01 | 74.4 |
| Croatia | 12.67 | 77.1 |
| Colombia | 16.05 | 74.0 |
| Samoa | 17.00 | 73.3 |
| Cuba | 13.40 | 79.2 |
| Guyana | 13.87 | 66.2 |
| South Sudan | 4.00 | 55.2 |
| Cote d'Ivoire | 8.51 | 50.8 |
| Burkina Faso | 13.52 | 56.3 |
| Malaysia | 5.88 | 75.0 |
| Australia | 17.75 | 82.2 |
| Indonesia | 6.63 | 70.8 |
| Kenya | 5.85 | 61.7 |
| Ireland | 14.07 | 81.0 |
| Grenada | 9.56 | 72.7 |
| Korea, Rep. | 11.50 | 81.5 |
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