Question

The population (in millions) and the violent crime rate (per 1000) were recorded for 10 metropolitan areas. The data are shown in the following table. Do these data provide evidence to reject the null hypothesis that ρ = 0 in favor of ρ ≠ 0 at α = .05? (Give your answers correct to three decimal places.)
Population 10 4.1 0.3 7.1 4 1.2 4.3 0.7 5.6 3
Crime Rate 11.6 6.6 7.4 8.3 6.9 6.5 8.1 8.4 7.6 8
(a) Calculate r.


(ii) Calculate the critical region.
(smaller value)
(larger value)