Refer to Exercise 11.31. (a) Obtain the least squares estimates by fitting a straight line to the
Question:
(a) Obtain the least squares estimates by fitting a straight line to the response Internet usage using the predictor variable HDI.
(b) Test, with a = .05, H(): 3 = 0 versus a two-sided alternative.
(c) Obtain a 95% confidence interval for the mean Internet usage per 100 persons, when the HDI is .650. Interpret.
(d) Obtain a 95% prediction interval for Internet usage in a single country with HDI .650. Interpret.
Exercise 11.31
One measure of the development of a country is the Human Development Index (HDI). Life expectancy, literacy, educational attainment, and gross domestic product per capita are combined into an index between 0 and 1, inclusive with 1 being the highest development. The United Nations Development Program reports values for 177 countries. We randomly selected fifteen countries, below the top twenty-five. Both HDI and the predictor variable x = Internet usage per 100 persons are obtained from their reports.
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(a) Obtain a 95% confidence interval for the mean HDI when Internet usage per 100 persons is 22. Compare the width of the interval with that of the interval in Example 10.
(b) Obtain a 95% prediction interval for a single country with Internet usage 22 per one hundred persons. Interpret.
(c) Does your analysis show that Internet usage causes HDI to increase?
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a b c The following is obtained using Excel 90 Internet S 80 as 70 60 50 40 30 20 10 Its estimated 0 ...View the full answer
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Related Book For 
Statistics Principles And Methods
ISBN: 9780470904114
7th Edition
Authors: Richard A. Johnson, Gouri K. Bhattacharyya
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