In: Statistics and Probability
In 2006, the top ten nations with the highest HDI rating are listed below. Each observation shows a country and in parentheses the proportion of women in that country’s parliament and the HDI Score (% women, HDI Score). Norway (38, .94), Iceland (33, .90), Australia (28, .93) Ireland (14, .92), Sweden (45, .91), Canada (24, .91), Japan (11, .89), United States (15, .92), Switzerland (25, .93), Netherlands (34, .92). (i.e. the US had 15 percent of seats held by women and an HDI score of .92)
a) Calculate the mean and the standard deviation for the percentage of seats in parliament held by women in these states.
b) Calculate the mean and the standard deviation for HDI index and interpret your results.
c) Calculate the correlation between the HDI index score and the percentage of seats in the country’s parliament held by women.
d) Calculate the coefficient on the HDI score of a regression in which the HDI score is the independent variable and the proportion of seats held by women is the dependent variable.
e) Calculate the r2 from this simple regression model.
f) Input these observations into Stata and show (simply circle or highlight) where the answers to (c), (d), and (e) appear in the regression output. (Here it is ok to paste Stata output into your answer.)
(a): Mean and the standard deviation for the percentage of seats in parliament held by women in these states.
(b): Mean and the standard deviation for HDI index.
(c): Correlation between the HDI index score and the percentage of seats in the country’s parliament held by women.
(d): The coefficient on the HDI score of a regression in which the HDI score is the independent variable and the proportion of seats held by women is the dependent variable.
(e): Calculate the r2 from this simple regression model.