In Exercise 9.25 we see that the conditions are met for fitting a linear model to predict life expectancy (LifeExpectancy) from the percentage of government expenditure spent on health care (Health) using the data in SampCountries. Use technology to examine this relationship further, as requested below.
(a) Find the correlation between the two variables and give the p-value for a test of the correlation.

(b) Find the regression line and give the t-statistic and p-value for testing the slope of the regression line.
(c) Find the F-statistic and the p-value from an ANOVA test for the effectiveness of the model.
(d) Comment on the effectiveness of this model.

Exercise 9.25

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.