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. 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

Answer 1

I input this data set in MS Excel, save this as a .CSV file and import this into R programming software using the read.csv(.) function and then use the lm(.) and predict(.) functions to calculate the prediction intervals. The R code and the output are given below.


(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).