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Solution 17.3
Null Hypothesis (Ho): β = 0
Alternative Hypothesis (Ha): β ≠ 0
Test Statistics
t = b/sb
t = 5.1/1.3
t = 3.92
Degrees of freedom, df = n – 2 = 50 – 2 = 48
Using t-tables, the critical value is
t (0.05/2, 48) = 2.011
Since test statistics is greater than the critical value, we reject Ho. Hence the slope is statistically significant.
Slope – For every increase of $1 in per capita police expenditures, the state crime rate increases by 5.1.
Intercept – If per capita police expenditures is zero, then the state crime rate is 2,475.
R-square – 63% of the total variation in...