Refer to the previous exercise. (a) Report the F statistic for testing H0: 1 = 2 =

Refer to the previous exercise.

(a) Report the F statistic for testing H0: β1 = β2 = 0, report its df values and P-value, and interpret.

(b) Show how to construct the t statistic for testing H0:

β1 = 0, report its df and P-value for Ha: β1 = 0, and interpret.

(c) When we add x3 = percentage of single-parent families to the model, we get the results in Table 11.15.

Why do you think the effect of poverty rate is much lower after x3 is added to the model?

TABLE 11.15 Variable Coefficient Std. Error Intercept −1197.538 Poverty 18.283 6.136 Urban 7.712 1.109 Single parent 89.401 17.836 R2 0.722

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TABLE 11.14 regress violent poverty urban Source | SS df MS Number of obs = 50 F(2, 47) = 31.249 Prob > F = 0.0001 = 0.5708 Model Residual 2448368.07 2 1224184. 1841257.15 47 39175.68 Total 4289625.22 49 87543.37 R-squared Adj R-squared = 0.5525 Root MSE = 197.928 violent | Coef. Std. Err. t P>|t| poverty | 32.622 6.677 4.885 0.0001 urban | 9.112 1.321 6.900 0.0001 _cons-498.683 140.988 -3.537 0.0009 corr violent poverty urban violent poverty urban violent poverty urban 1.0000 .3688 1.0000 .5940 -.1556 1.0000