Question

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. Sts17.70 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

Answer 1

Answer:

(a) A country which puts only 3% of its expenditure into health care. = (41.8,85.2)

(b) A country which puts 10% of its expenditure into health care= (47.92,89.29)

(c) A country which puts 50% of its expenditure into health care= (63.33,132.17)

Explanation:

Country                              Health Life expectancy

1 Iceland                               15.76            83.1

2 Kazakhastan                       40.90   70.5

3 Lesotho                                 14.48 49.3

4 Uzbekistan                          9.68 68.2

5 Peru                                  14.75 74.8

6 Iraq                                          5.99 69.5

mb=1m (life expectancy - Health, data=d1)

new data1 = data. frame (Health = 3)

new data2 = data. frame (Health = 10)

new data3= data. frame (Health = 50)

Predict (mb,newdata1, interval= "prediction)

                fit                   owr                 upr

1            63.506          41.7298           85.2192

>Predict (mb,newdata2, interval = "prediction)\

                 fit                   owr                 upr

1            68.6062          47.9192           89.29321

>Predict (mb,newdata3, interval = "prediction)

                fit                   owr                 upr

1            97.750            63.3292         132.1713

(a) A country which puts only 3% of its expenditure into health care. = (41.8,85.2)

(b) A country which puts 10% of its expenditure into health care= (47.92,89.29)

(c) A country which puts 50% of its expenditure into health care= (63.33,132.17)