Question: For the SMSA data set considered previously. (i) Suppose that people are concerned with the differences in serious crimes among the regions z and think

For the SMSA data set considered previously. (i) Suppose that people are concerned with the differences in serious crimes among the regions z and think that the following variables might affect the rate of serious crimes: population density (x1, total population divided by land area), total personal income (x2) and percent high school graduates (x3). (ia) Suggest an appropriate regression model for dealing with the concern. (ib) A model is fitted to the data, which yields the following results: Estimate Std. Error t value Pr(>|t|) (Intercept) -7747.0278 12893.7507 -0.601 0.5490 x1 2443.1845 1417.0424 1.724 0.0870 x2 8.6058 0.1626 52.912 < 2e-16 x3 -131.6935 234.6867 -0.561 0.5756 z2 9142.3654 4574.3819 1.999 0.0477 z3 17408.6601 4293.0651 4.055 8.46e-05 z4 26821.2700 5326.3994 5.036 1.51e-06 Analysis of Variance Table Df Sum Sq Mean Sq F value Pr(>F) x1 1 1.9396e 11 1.9396e 11 676.3277 < 2.2e-16 x2 1 8.3193e 11 8.3193e 11 2900.8761 < 2.2e-16 x3 1 2.6892e 08 2.6892e 08 0.9377 0.3346 z 3 9.7021e 09 3.2340e 09 11.2768 1.208e-06 Residuals 134 3.8429e 10 2.8679e 08 Give the model which was fitted. (ic) From the results given in (ib), test whether there is any difference in serious crimes among the regions: give the

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