Confidence intervals
Problem
MORT = Total Mortality Rate per 100,000 Population
INCC = Per-Capita Income by State, in Dollars
POV = Proportion of Families Living Below the Poverty Line by State
ALCC = Per-Capita Consumption of Alcohol by State, in Gallons
TOBC = Per-Capita Consumption of Cigarettes by State, in Packs
PHYS = Physicians per 100,000 Population
AGED = Proportion of Population over the Age of 65
- Find a 95% confidence interval for \(β_{income}\)
- Find a 99% confidence interval for \(β_{tobacco}\)
Solution
- The critical value is \(t_{0.025,44}=2.015\) so \(0.00418±2.015⋅0.005367\) or \(-0.0066<β_{income}<0.015\)
- The critical value is \(t_{0.005,44}=2.692\) so \(1.69±2.692⋅0.301\) or \(0.88<β_{tobacco}<2.5\)