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 | 9.3 | 0.6 | 3.6 | 7.2 | 5.5 | 2.4 | 1.2 | 0.9 | 7 | 6.8 |
Crime Rate | 11 | 7.3 | 6.5 | 8.7 | 9.5 | 7.2 | 9 | 8.4 | 9.2 | 8.2 |
(a) Calculate r.
(ii) Calculate the critical region.
(smaller value)_____
(larger value)______
let x = Population , y = Crime Rate
Find X⋅Y , X2 and Y2 as it was done in the table below.
X | Y | X⋅Y | X⋅X | Y⋅Y |
9.3 | 11 | 102.3 | 86.49 | 121 |
0.6 | 7.3 | 4.38 | 0.36 | 53.29 |
3.6 | 6.5 | 23.4 | 12.96 | 42.25 |
7.2 | 8.7 | 62.64 | 51.84 | 75.69 |
5.5 | 9.5 | 52.25 | 30.25 | 90.25 |
2.4 | 7.2 | 17.28 | 5.76 | 51.84 |
1.2 | 9 | 10.8 | 1.44 | 81 |
0.9 | 8.4 | 7.56 | 0.81 | 70.56 |
7 | 9.2 | 64.4 | 49 | 84.64 |
6.8 | 8.2 | 55.76 | 46.24 | 67.24 |
r = 0.618
at α = .05 ,n = 10 , ( two tailed )
the critical region.
smaller value = - 0.632
larger value = 0.632
The population (in millions) and the violent crime rate (per 1000) were recorded for 10 metropolitan...
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 9.2 3.9 2.2 6.9 5.4 4.4 4.3 0.5 0.9 3.5 Crime Rate 11.6 7.2 7.6 9.1 6.5 6.9 6.8 9.3 7 8.1...
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 10.7 4.4 1.1 7.4 3.2 6.7 5 6.4 6.5 1.8 Crime Rate 12.5 7.3 8.9 7.8 6.7 6.5 6.7 8 6.5 8.9 (a)...
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