One Measure of the Development of a Country Is the Human

Short Answer

One measure of the development of a country is the Human Development Index (H.D.I.) which combines life expectancy, literacy, and gross domestic product per capita into an index whose values lie between 0 and 1, inclusive.

We randomly selected 12 countries, of the 182 countries on the list. H.D.I. is the response variable y, and total fertility rate (births per woman), x, is the predictor variable. The data have the summary statistics.

n = 12 $\bar{x}$ = 1.825 $\bar{y}$ = .85 S_xx = 2.7625 S_yy = .0342 S_xy = -.1838
A) Estimate the mean value of H.D.I. for the total fertility rate of 2.5.
B) Construct a 95% confidence interval for the response in part A.
Round your answer to three decimal places.