Question: 14.7. For the data for 21 nations in the UN2 data file at the text website that are not missing observations on literacy, Table 14.10

14.7. For the data for 21 nations in the UN2 data file at the text website that are not missing observations on literacy, Table 14.10 shows various diagnostics from fitting the multiple regression model relating fertility (mean number of births per woman) to literacy rate and women’s economic activity.

TABLE 14.10 Studentized Leverage DFBETA Obs Residual Residual h DFFIT Fem_econ Literacy

(a) Study the studentized residuals. Are there any apparent outliers?

(b) Which, if any, observations have relatively large leverage values?

(c) Based on the answers in

(a) and (b), does it seem as if any observations may be especially influential? Explain.

(d) Study the DFFIT values. Identify an observation that may have a strong influence on the fitted values.

(e) Study the DFBETA values. Identify an observation that is influential for the literacy estimate but not for the economic activity estimate.

TABLE 14.10 Studentized Leverage DFBETA Obs Residual Residual h DFFIT Fem_econ Literacy 12689 1 -1.1374 -1.3088 0.0935 -0.4204 0.1989 0.0726 2 0.2782 0.3216 0.1792 0.1503 -0.1001 0.1226 6 -0.1299 -0.1424 0.0915 -0.0452 0.0235 -0.0302 -0.1695 -0.1921 0.1490 -0.0804 0.0496 -0.0640 -0.5515 -0.6682 0.2378 -0.3732 -0.3215 0.1017 11 -0.9491 -1.1198 0.1589 -0.4868 -0.0620 0.3707 15 -1.0803 -1.2174 0.0665 -0.3249 0.0285 -0.1583 16 -0.9529 -1.1093 0.1372 -0.4424 -0.1055 0.3435 17 -1.1469 -1.3358 0.1118 -0.4738 0.3516 -0.1326 19 0.8765 0.9912 0.0982 0.3270 0.0799 0.1407 21 0.4208 0.4559 0.0596 0.1148 0.0142 0.0336 22 -0.0490 -0.0543 0.1102 -0.0191 0.0119 -0.0133 25 2.2503 3.0631 0.0867 0.9438 0.3476 -0.6337 27 -0.2954 -0.3522 0.2273 -0.1910 -0.0300 0.1562 28 1.0084 1.1396 0.0808 0.3380 -0.0232 0.1929 29 -0.4741 -0.5551 0.1901 -0.2689 -0.1750 -0.0323 30 0.7329 0.8843 0.2165 0.4648 -0.4057 0.1705 31 0.1204 0.1292 0.0512 0.0300 0.0015 0.0057 35 -0.1409 -0.1517 0.0571 -0.0373 -0.0119 -0.0014 38 0.1027 0.1294 0.3124 0.0872 0.0780 -0.0270 39 1.2868 1.7217 0.2847 1.0862 0.0098 -0.8342

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