A random sample of 50 countries is stored in the dataset SampCountries. Two variables in the dataset are life expectancy (LifeExpectancy) and percentage of government expenditure spent on health care (Health) for each country.Weare interested in whether or not the percent spent on health care can be used to effectively predict life expectancy.
(a) What are the cases in this model?
(b) Create a scatterplot with regression line and use it to determine whether we should have any serious concerns about the conditions being met for using a linear model with these data.
(c) Run the simple linear regression, and report and interpret the slope.
(d) Find and interpret a 95% confidence interval for the slope.
(e) Is the percentage of government expenditure on health care a significant predictor of life expectancy?
(f) The population slope (for all countries) is 0.674. Is this captured in your 95% CI from part (d)?
(g) Find and interpret R² for this linear model.