The SAS System 14:21 Tuesday, November 21, 2000 The REG Procedure Model: MODEL1 Dependent Variable: y1 C(p) Selection Method Number in Model C(p) R-Square Variables in Model 8 7.6896 0.9543 lpop1 whit1 lblac1 lhisp1 o651 hsed1 inco1 pbrow1 7 8.2797 0.9522 whit1 lblac1 lhisp1 o651 hsed1 inco1 pbrow1 9 8.7721 0.9551 lpop1 whit1 lblac1 lhisp1 o651 hsed1 inco1 pbrow1 pnade1 7 8.9071 0.9517 lpop1 whit1 lhisp1 o651 hsed1 inco1 pbrow1 6 9.1897 0.9498 whit1 lblac1 lhisp1 hsed1 inco1 pbrow1 8 9.3961 0.9529 whit1 lblac1 lhisp1 o651 hsed1 inco1 pbrow1 pnade1 9 9.5769 0.9544 lpop1 whit1 lblac1 lhisp1 o651 hsed1 inco1 pbush1 pbrow1 9 9.6477 0.9543 lpop1 whit1 lblac1 lhisp1 o651 hsed1 coll1 inco1 pbrow1 7 9.7648 0.9510 lpop1 whit1 lblac1 lhisp1 hsed1 inco1 pbrow1 10 10.0371 0.9557 lpop1 whit1 lblac1 lhisp1 o651 hsed1 coll1 inco1 pbrow1 pnade1 8 10.0710 0.9523 whit1 lblac1 lhisp1 o651 hsed1 inco1 pbush1 pbrow1 8 10.0949 0.9523 whit1 lblac1 lhisp1 o651 hsed1 coll1 inco1 pbrow1 9 10.1728 0.9539 whit1 lblac1 lhisp1 o651 hsed1 coll1 inco1 pbrow1 pnade1 8 10.5037 0.9520 lpop1 whit1 lhisp1 o651 hsed1 inco1 pbrow1 pnade1 7 10.5539 0.9503 whit1 lblac1 lhisp1 hsed1 inco1 pbrow1 pnade1 7 10.5833 0.9503 whit1 lblac1 lhisp1 hsed1 inco1 pbush1 pbrow1 10 10.6570 0.9551 lpop1 whit1 lblac1 lhisp1 o651 hsed1 inco1 pbush1 pbrow1 pnade1 8 10.6838 0.9518 lpop1 whit1 lblac1 lhisp1 hsed1 inco1 pbush1 pbrow1 8 10.8197 0.9517 lpop1 whit1 lhisp1 o651 hsed1 inco1 pbush1 pbrow1 8 10.8305 0.9517 lpop1 whit1 lhisp1 o651 hsed1 coll1 inco1 pbrow1 7 10.8650 0.9501 lpop1 whit1 lhisp1 hsed1 inco1 pbush1 pbrow1 8 11.1429 0.9515 lpop1 whit1 lblac1 lhisp1 hsed1 inco1 pbrow1 pnade1 6 11.1685 0.9482 lpop1 whit1 lhisp1 hsed1 inco1 pbrow1 7 11.1764 0.9498 whit1 lblac1 lhisp1 hsed1 coll1 inco1 pbrow1 9 11.1833 0.9531 whit1 lblac1 lhisp1 o651 hsed1 inco1 pbush1 pbrow1 pnade1 8 11.2113 0.9514 lpop1 whit1 lblac1 lhisp1 o651 hsed1 inco1 pnade1 8 11.5352 0.9511 whit1 lblac1 lhisp1 o651 hsed1 coll1 inco1 pnade1 9 11.5427 0.9528 lpop1 whit1 lblac1 lhisp1 o651 hsed1 coll1 inco1 pnade1 10 11.5525 0.9544 lpop1 whit1 lblac1 lhisp1 o651 hsed1 coll1 inco1 pbush1 pbrow1 8 11.7557 0.9510 lpop1 whit1 lblac1 lhisp1 hsed1 coll1 inco1 pbrow1 8 11.8818 0.9509 whit1 lblac1 lhisp1 hsed1 inco1 pbush1 pbrow1 pnade1 7 11.8903 0.9492 whit1 lblac1 lhisp1 o651 hsed1 inco1 pnade1 9 11.9396 0.9525 whit1 lblac1 lhisp1 o651 hsed1 coll1 inco1 pbush1 pbrow1 9 11.9649 0.9524 lpop1 whit1 lhisp1 o651 hsed1 coll1 inco1 pbrow1 pnade1 9 11.9756 0.9524 lpop1 whit1 lblac1 lhisp1 hsed1 inco1 pbush1 pbrow1 pnade1 11 12.0000 0.9557 lpop1 whit1 lblac1 lhisp1 o651 hsed1 coll1 inco1 pbush1 pbrow1 pnade1 10 12.1040 0.9540 whit1 lblac1 lhisp1 o651 hsed1 coll1 inco1 pbush1 pbrow1 pnade1 8 12.1847 0.9506 whit1 lblac1 lhisp1 hsed1 coll1 inco1 pbrow1 pnade1 9 12.3941 0.9521 lpop1 whit1 lhisp1 o651 hsed1 inco1 pbush1 pbrow1 pnade1 8 12.4889 0.9504 whit1 lblac1 lhisp1 hsed1 coll1 inco1 pbush1 pbrow1 6 12.4895 0.9471 whit1 lblac1 lhisp1 o651 hsed1 pbrow1 8 12.4986 0.9504 lpop1 whit1 lhisp1 hsed1 inco1 pbush1 pbrow1 pnade1 7 12.5542 0.9487 lpop1 lhisp1 coll1 inco1 pbush1 pbrow1 pnade1 9 12.6687 0.9519 lpop1 whit1 lblac1 lhisp1 hsed1 coll1 inco1 pbush1 pbrow1 9 12.7195 0.9518 lpop1 whit1 lhisp1 o651 hsed1 coll1 inco1 pbush1 pbrow1 8 12.7959 0.9501 lpop1 whit1 lhisp1 hsed1 coll1 inco1 pbush1 pbrow1 7 12.8803 0.9484 lpop1 whit1 lblac1 lhisp1 o651 hsed1 pbrow1 7 12.9599 0.9483 lpop1 whit1 lhisp1 hsed1 inco1 pbrow1 pnade1 9 13.0072 0.9516 lpop1 whit1 lblac1 lhisp1 hsed1 coll1 inco1 pbrow1 pnade1 8 13.0200 0.9499 lpop1 whit1 lhisp1 coll1 inco1 pbush1 pbrow1 pnade1 9 13.0723 0.9515 whit1 lblac1 lhisp1 hsed1 coll1 inco1 pbush1 pbrow1 pnade1 9 13.1048 0.9515 lpop1 whit1 lblac1 lhisp1 o651 hsed1 inco1 pbush1 pnade1 7 13.1677 0.9482 lpop1 whit1 lhisp1 hsed1 coll1 inco1 pbrow1 7 13.3103 0.9480 whit1 lblac1 lhisp1 o651 hsed1 pbush1 pbrow1 8 13.3907 0.9496 whit1 lblac1 lhisp1 o651 hsed1 coll1 pbrow1 pnade1 10 13.4987 0.9528 lpop1 whit1 lblac1 lhisp1 hsed1 coll1 inco1 pbush1 pbrow1 pnade1 9 13.5033 0.9512 whit1 lblac1 lhisp1 o651 hsed1 coll1 inco1 pbush1 pnade1 8 13.5296 0.9495 whit1 lblac1 lhisp1 coll1 inco1 pbush1 pbrow1 pnade1 10 13.5307 0.9528 lpop1 whit1 lblac1 lhisp1 o651 hsed1 coll1 inco1 pbush1 pnade1 7 13.6283 0.9478 lpop1 whit1 lhisp1 o651 hsed1 inco1 pnade1 8 13.6881 0.9494 whit1 lblac1 lhisp1 o651 hsed1 inco1 pbush1 pnade1 7 13.7195 0.9477 whit1 lblac1 lhisp1 o651 hsed1 coll1 pbrow1 10 13.7390 0.9526 lpop1 whit1 lhisp1 o651 hsed1 coll1 inco1 pbush1 pbrow1 pnade1 8 13.8040 0.9493 lpop1 whit1 lblac1 lhisp1 o651 hsed1 pbush1 pbrow1 7 13.8177 0.9476 whit1 lblac1 lhisp1 o651 hsed1 pbrow1 pnade1 9 13.8521 0.9509 lpop1 whit1 lblac1 lhisp1 coll1 inco1 pbush1 pbrow1 pnade1 7 13.9339 0.9475 whit1 lblac1 lhisp1 coll1 inco1 pbrow1 pnade1 9 13.9923 0.9508 lpop1 whit1 lhisp1 hsed1 coll1 inco1 pbush1 pbrow1 pnade1 7 14.0462 0.9474 lpop1 whit1 lhisp1 coll1 inco1 pbush1 pbrow1 8 14.1978 0.9490 lpop1 whit1 lhisp1 o651 hsed1 coll1 inco1 pnade1 8 14.1988 0.9490 lpop1 whit1 lblac1 lhisp1 o651 hsed1 pbrow1 pnade1 9 14.2319 0.9506 lpop1 whit1 lblac1 lhisp1 o651 hsed1 coll1 pbrow1 pnade1 8 14.3357 0.9488 lpop1 whit1 lblac1 lhisp1 o651 hsed1 coll1 pbrow1 8 14.5059 0.9487 lpop1 lhisp1 o651 coll1 inco1 pbush1 pbrow1 pnade1 7 14.5261 0.9471 whit1 lblac1 lhisp1 coll1 inco1 pbush1 pnade1 8 14.5370 0.9487 lpop1 lhisp1 hsed1 coll1 inco1 pbush1 pbrow1 pnade1 8 14.5459 0.9487 lpop1 lblac1 lhisp1 coll1 inco1 pbush1 pbrow1 pnade1 7 14.5640 0.9470 whit1 lblac1 lhisp1 o651 coll1 inco1 pnade1 8 14.6079 0.9486 whit1 lblac1 lhisp1 o651 hsed1 pbush1 pbrow1 pnade1 9 14.7288 0.9502 lpop1 whit1 lhisp1 o651 coll1 inco1 pbush1 pbrow1 pnade1 7 14.7383 0.9469 lpop1 whit1 lblac1 lhisp1 o651 hsed1 inco1 6 14.7667 0.9452 lpop1 lhisp1 coll1 inco1 pbush1 pnade1 9 14.7940 0.9501 whit1 lblac1 lhisp1 o651 hsed1 coll1 pbush1 pbrow1 pnade1 7 14.8134 0.9468 lpop1 whit1 lhisp1 coll1 inco1 pbrow1 pnade1 8 14.8211 0.9484 lpop1 whit1 lblac1 lhisp1 coll1 inco1 pbrow1 pnade1 8 14.8522 0.9484 whit1 lblac1 lhisp1 o651 hsed1 coll1 pbush1 pbrow1 8 14.9008 0.9484 lpop1 whit1 lhisp1 hsed1 coll1 inco1 pbrow1 pnade1 6 14.9684 0.9450 lpop1 whit1 lhisp1 coll1 inco1 pbrow1 8 15.0563 0.9483 whit1 lblac1 lhisp1 o651 coll1 inco1 pbrow1 pnade1 9 15.0933 0.9499 lpop1 whit1 lblac1 lhisp1 o651 hsed1 pbush1 pbrow1 pnade1 8 15.0991 0.9482 lpop1 whit1 lhisp1 o651 coll1 inco1 pbrow1 pnade1 8 15.1108 0.9482 lpop1 whit1 lblac1 lhisp1 o651 coll1 inco1 pnade1 8 15.1627 0.9482 lpop1 whit1 lblac1 lhisp1 coll1 inco1 pbush1 pnade1 7 15.2593 0.9464 lpop1 whit1 lhisp1 o651 coll1 inco1 pnade1 8 15.2636 0.9481 whit1 lblac1 lhisp1 o651 coll1 inco1 pbush1 pnade1 8 15.2677 0.9481 lpop1 whit1 lhisp1 o651 coll1 inco1 pbush1 pnade1 6 15.3555 0.9447 whit1 lblac1 lhisp1 o651 hsed1 inco1 9 15.4288 0.9496 whit1 lblac1 lhisp1 o651 coll1 inco1 pbush1 pbrow1 pnade1 8 15.4657 0.9479 lpop1 whit1 lhisp1 o651 hsed1 inco1 pbush1 pnade1 9 15.5048 0.9495 lpop1 whit1 lblac1 lhisp1 o651 hsed1 coll1 pbush1 pbrow1 9 15.5343 0.9495 lpop1 whit1 lblac1 lhisp1 o651 coll1 inco1 pbush1 pnade1 7 15.5862 0.9462 whit1 lblac1 lhisp1 o651 hsed1 coll1 pnade1 9 15.5910 0.9495 lpop1 whit1 lblac1 lhisp1 o651 coll1 inco1 pbrow1 pnade1 10 15.6498 0.9511 lpop1 whit1 lblac1 lhisp1 o651 coll1 inco1 pbush1 pbrow1 pnade1 10 15.6512 0.9511 lpop1 whit1 lblac1 lhisp1 o651 hsed1 coll1 pbush1 pbrow1 pnade1 6 15.7057 0.9444 whit1 lblac1 lhisp1 coll1 inco1 pnade1 7 15.7548 0.9460 lpop1 whit1 lhisp1 coll1 inco1 pbush1 pnade1 5 15.7610 0.9428 lpop1 whit1 lhisp1 inco1 pbrow1 9 15.8121 0.9493 lpop1 whit1 lhisp1 o651 hsed1 coll1 inco1 pbush1 pnade1 6 15.8173 0.9443 lpop1 whit1 lhisp1 inco1 pbush1 pbrow1 6 15.8358 0.9443 lpop1 whit1 lhisp1 o651 hsed1 inco1 The SAS System 14:21 Tuesday, November 21, 2000 The REG Procedure Model: MODEL1 Dependent Variable: y1 C(p) Selection Method The SAS System 14:21 Tuesday, November 21, 2000 The REG Procedure Model: MODEL1 Dependent Variable: y1 Backward Elimination: Step 0 All Variables Entered: R-Square = 0.9557 and C(p) = 12.0000 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 11 3164404 287673 105.88 <.0001 Error 54 146722 2717.06865 Corrected Total 65 3311126 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 28.97630 10.99141 18883 6.95 0.0109 lpop1 0.00018950 0.00013064 5716.69228 2.10 0.1527 whit1 0.00008647 0.00002968 23058 8.49 0.0052 lblac1 0.00059189 0.00030610 10159 3.74 0.0584 lhisp1 -0.00089532 0.00017502 71104 26.17 <.0001 o651 -0.00005205 0.00002783 9506.22548 3.50 0.0668 hsed1 -0.00006975 0.00002935 15351 5.65 0.0210 coll1 -0.00002195 0.00002708 1785.12535 0.66 0.4212 inco1 -0.00007015 0.00002951 15355 5.65 0.0210 pbush1 -0.00000151 0.00000785 100.77933 0.04 0.8480 pbrow1 0.00177 0.00094191 9593.21091 3.53 0.0656 pnade1 0.00022414 0.00017989 4218.22080 1.55 0.2181 Bounds on condition number: 2181.1, 66921 ----------------------------------------------------------------------------- Backward Elimination: Step 1 Variable pbush1 Removed: R-Square = 0.9557 and C(p) = 10.0371 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 10 3164304 316430 118.54 <.0001 Error 55 146822 2669.49976 Corrected Total 65 3311126 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 29.06477 10.88525 19032 7.13 0.0100 lpop1 0.00019071 0.00012935 5802.87897 2.17 0.1461 whit1 0.00008245 0.00002089 41562 15.57 0.0002 lblac1 0.00057235 0.00028625 10672 4.00 0.0505 lhisp1 -0.00087755 0.00014741 94604 35.44 <.0001 o651 -0.00004873 0.00002167 13504 5.06 0.0285 hsed1 -0.00006656 0.00002401 20525 7.69 0.0076 coll1 -0.00002286 0.00002643 1997.07485 0.75 0.3908 inco1 -0.00007146 0.00002846 16832 6.31 0.0150 pbrow1 0.00176 0.00093271 9525.06964 3.57 0.0642 pnade1 0.00022733 0.00017755 4376.12147 1.64 0.2058 Bounds on condition number: 1279.5, 42792 ----------------------------------------------------------------------------- Backward Elimination: Step 2 Variable coll1 Removed: R-Square = 0.9551 and C(p) = 8.7721 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 9 3162306 351367 132.22 <.0001 Error 56 148820 2657.49217 Corrected Total 65 3311126 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 28.75929 10.85502 18654 7.02 0.0105 lpop1 0.00020865 0.00012739 7129.58524 2.68 0.1070 whit1 0.00008720 0.00002011 49960 18.80 <.0001 lblac1 0.00055677 0.00028504 10139 3.82 0.0558 lhisp1 -0.00093459 0.00013154 134146 50.48 <.0001 o651 -0.00004454 0.00002107 11876 4.47 0.0390 hsed1 -0.00007691 0.00002077 36448 13.72 0.0005 inco1 -0.00007655 0.00002778 20179 7.59 0.0079 pbrow1 0.00194 0.00090869 12062 4.54 0.0375 pnade1 0.00014443 0.00014912 2492.79181 0.94 0.3370 Bounds on condition number: 1246.6, 33616 ----------------------------------------------------------------------------- Backward Elimination: Step 3 Variable pnade1 Removed: R-Square = 0.9543 and C(p) = 7.6896 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 8 3159814 394977 148.79 <.0001 Error 57 151312 2654.60269 Corrected Total 65 3311126 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 27.18315 10.72650 17048 6.42 0.0140 lpop1 0.00020729 0.00012731 7037.68096 2.65 0.1090 whit1 0.00009049 0.00001981 55367 20.86 <.0001 lblac1 0.00050929 0.00028064 8742.22860 3.29 0.0748 lhisp1 -0.00094103 0.00013130 136349 51.36 <.0001 o651 -0.00004287 0.00002099 11073 4.17 0.0458 hsed1 -0.00007758 0.00002074 37126 13.99 0.0004 inco1 -0.00007523 0.00002773 19538 7.36 0.0088 pbrow1 0.00238 0.00078277 24586 9.26 0.0035 Bounds on condition number: 1246.4, 29361 ----------------------------------------------------------------------------- Backward Elimination: Step 4 Variable lpop1 Removed: R-Square = 0.9522 and C(p) = 8.2797 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 7 3152776 450397 164.97 <.0001 Error 58 158350 2730.17300 Corrected Total 65 3311126 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 17.26049 8.95195 10150 3.72 0.0587 whit1 0.00010738 0.00001712 107400 39.34 <.0001 lblac1 0.00088505 0.00016195 81536 29.86 <.0001 lhisp1 -0.00086388 0.00012419 132113 48.39 <.0001 o651 -0.00003533 0.00002076 7906.49274 2.90 0.0942 hsed1 -0.00007704 0.00002103 36623 13.41 0.0005 inco1 -0.00006931 0.00002788 16872 6.18 0.0158 pbrow1 0.00239 0.00079383 24659 9.03 0.0039 Bounds on condition number: 901.89, 13807 ----------------------------------------------------------------------------- Backward Elimination: Step 5 Variable o651 Removed: R-Square = 0.9498 and C(p) = 9.1897 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 6 3144869 524145 186.01 <.0001 Error 59 166257 2817.90724 Corrected Total 65 3311126 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 20.61425 8.87152 15215 5.40 0.0236 whit1 0.00008290 0.00000943 217660 77.24 <.0001 lblac1 0.00080746 0.00015788 73709 26.16 <.0001 lhisp1 -0.00070643 0.00008416 198550 70.46 <.0001 hsed1 -0.00005255 0.00001558 32037 11.37 0.0013 inco1 -0.00010255 0.00002021 72515 25.73 <.0001 pbrow1 0.00276 0.00077477 35781 12.70 0.0007 The SAS System 14:21 Tuesday, November 21, 2000 The REG Procedure Model: MODEL1 Dependent Variable: y1 Backward Elimination: Step 5 Bounds on condition number: 479.65, 5250.7 ----------------------------------------------------------------------------- All variables left in the model are significant at the 0.0500 level. Summary of Backward Elimination Variable Number Partial Model Step Removed Vars In R-Square R-Square C(p) F Value Pr > F 1 pbush1 10 0.0000 0.9557 10.0371 0.04 0.8480 2 coll1 9 0.0006 0.9551 8.7721 0.75 0.3908 3 pnade1 8 0.0008 0.9543 7.6896 0.94 0.3370 4 lpop1 7 0.0021 0.9522 8.2797 2.65 0.1090 5 o651 6 0.0024 0.9498 9.1897 2.90 0.0942 The SAS System 14:21 Tuesday, November 21, 2000 The REG Procedure Model: MODEL1 Dependent Variable: y2 C(p) Selection Method Number in Model C(p) R-Square Variables in Model 7 6.9171 0.9544 lpop2 whit2 lhisp2 hsed2 inco2 pbush2 pbrow2 8 7.8124 0.9553 lpop2 whit2 lblac2 lhisp2 hsed2 inco2 pbush2 pbrow2 8 8.1521 0.9551 lpop2 whit2 lhisp2 hsed2 inco2 pbush2 pbrow2 pnade2 6 8.6421 0.9515 lpop2 lhisp2 coll2 inco2 pbush2 pnade2 6 8.7111 0.9514 lpop2 whit2 lhisp2 inco2 pbush2 pbrow2 8 8.7189 0.9546 lpop2 whit2 lhisp2 hsed2 coll2 inco2 pbush2 pbrow2 8 8.7419 0.9546 lpop2 whit2 lhisp2 o652 hsed2 inco2 pbush2 pbrow2 9 8.8921 0.9561 lpop2 whit2 lblac2 lhisp2 hsed2 inco2 pbush2 pbrow2 pnade2 6 8.9753 0.9512 lpop2 whit2 lhisp2 inco2 pbush2 pnade2 7 8.9857 0.9528 lpop2 whit2 lhisp2 hsed2 inco2 pbush2 pnade2 7 9.2499 0.9526 lpop2 lhisp2 coll2 inco2 pbush2 pbrow2 pnade2 5 9.2823 0.9494 lpop2 whit2 lhisp2 inco2 pbush2 7 9.4304 0.9524 lpop2 whit2 lhisp2 coll2 inco2 pbush2 pbrow2 9 9.4903 0.9556 lpop2 whit2 lblac2 lhisp2 o652 hsed2 inco2 pbush2 pbrow2 8 9.5002 0.9540 lpop2 whit2 lblac2 lhisp2 hsed2 inco2 pbush2 pnade2 8 9.5028 0.9540 lpop2 whit2 lhisp2 o652 hsed2 inco2 pbush2 pnade2 9 9.5338 0.9556 lpop2 whit2 lblac2 lhisp2 o652 hsed2 inco2 pbush2 pnade2 9 9.5686 0.9555 lpop2 whit2 lblac2 lhisp2 hsed2 coll2 inco2 pbush2 pbrow2 9 9.6443 0.9555 lpop2 whit2 lhisp2 o652 hsed2 inco2 pbush2 pbrow2 pnade2 6 9.6692 0.9506 lpop2 lhisp2 o652 inco2 pbush2 pbrow2 7 9.6906 0.9522 lpop2 whit2 lhisp2 coll2 inco2 pbush2 pnade2 5 9.9729 0.9488 lpop2 lhisp2 inco2 pbush2 pnade2 7 9.9821 0.9520 lpop2 whit2 lhisp2 o652 inco2 pbush2 pbrow2 8 9.9960 0.9536 lpop2 whit2 lhisp2 coll2 inco2 pbush2 pbrow2 pnade2 7 10.0446 0.9519 lpop2 whit2 lhisp2 inco2 pbush2 pbrow2 pnade2 10 10.0560 0.9567 lpop2 whit2 lblac2 lhisp2 o652 hsed2 inco2 pbush2 pbrow2 pnade2 9 10.1408 0.9551 lpop2 whit2 lhisp2 hsed2 coll2 inco2 pbush2 pbrow2 pnade2 6 10.1681 0.9502 lpop2 lhisp2 hsed2 inco2 pbush2 pnade2 8 10.2476 0.9534 lpop2 whit2 lblac2 lhisp2 o652 hsed2 inco2 pbrow2 6 10.3556 0.9501 lpop2 whit2 lhisp2 hsed2 inco2 pbush2 6 10.4536 0.9500 lpop2 lhisp2 o652 inco2 pbush2 pnade2 8 10.5474 0.9531 lpop2 whit2 lblac2 lhisp2 o652 hsed2 inco2 pnade2 7 10.5681 0.9515 lpop2 lhisp2 o652 coll2 inco2 pbush2 pnade2 9 10.6078 0.9547 lpop2 whit2 lhisp2 o652 hsed2 coll2 inco2 pbush2 pbrow2 7 10.6097 0.9515 lpop2 lhisp2 hsed2 coll2 inco2 pbush2 pnade2 7 10.6134 0.9515 lpop2 lblac2 lhisp2 coll2 inco2 pbush2 pnade2 6 10.6167 0.9499 lpop2 lblac2 lhisp2 inco2 pbush2 pnade2 7 10.6566 0.9515 lpop2 lhisp2 o652 inco2 pbush2 pbrow2 pnade2 7 10.6661 0.9514 lpop2 whit2 lhisp2 o652 hsed2 inco2 pbrow2 7 10.6718 0.9514 lpop2 whit2 lblac2 lhisp2 inco2 pbush2 pbrow2 7 10.7622 0.9514 lpop2 whit2 lblac2 lhisp2 inco2 pbush2 pnade2 8 10.8702 0.9529 lpop2 whit2 lhisp2 o652 coll2 inco2 pbush2 pnade2 10 10.8767 0.9561 lpop2 whit2 lblac2 lhisp2 hsed2 coll2 inco2 pbush2 pbrow2 pnade2 8 10.8962 0.9529 lpop2 whit2 lblac2 lhisp2 coll2 inco2 pbush2 pnade2 7 10.9602 0.9512 lpop2 whit2 lhisp2 o652 inco2 pbush2 pnade2 6 10.9650 0.9496 lpop2 whit2 lblac2 lhisp2 inco2 pbush2 8 10.9819 0.9528 lpop2 whit2 lhisp2 hsed2 coll2 inco2 pbush2 pnade2 7 11.0113 0.9512 lpop2 lhisp2 hsed2 inco2 pbush2 pbrow2 pnade2 8 11.0474 0.9527 lpop2 lhisp2 hsed2 coll2 inco2 pbush2 pbrow2 pnade2 8 11.0901 0.9527 lpop2 lblac2 lhisp2 coll2 inco2 pbush2 pbrow2 pnade2 7 11.1213 0.9511 lpop2 whit2 lblac2 lhisp2 hsed2 inco2 pbush2 7 11.1536 0.9511 lpop2 lblac2 lhisp2 o652 inco2 pbush2 pbrow2 6 11.1645 0.9494 lpop2 whit2 lhisp2 coll2 inco2 pbush2 8 11.1682 0.9526 lpop2 whit2 lblac2 lhisp2 coll2 inco2 pbush2 pbrow2 8 11.1698 0.9526 lpop2 lhisp2 o652 coll2 inco2 pbush2 pbrow2 pnade2 7 11.2430 0.9510 lpop2 lhisp2 o652 hsed2 inco2 pbush2 pbrow2 10 11.2742 0.9558 lpop2 whit2 lblac2 lhisp2 o652 hsed2 coll2 inco2 pbush2 pnade2 9 11.2771 0.9542 lpop2 whit2 lhisp2 o652 hsed2 coll2 inco2 pbush2 pnade2 6 11.2818 0.9494 lpop2 whit2 lhisp2 o652 inco2 pbush2 9 11.2917 0.9541 lpop2 whit2 lblac2 lhisp2 o652 hsed2 inco2 pbrow2 pnade2 10 11.3411 0.9557 lpop2 whit2 lblac2 lhisp2 o652 hsed2 coll2 inco2 pbush2 pbrow2 8 11.3595 0.9525 lpop2 whit2 lhisp2 o652 coll2 inco2 pbush2 pbrow2 7 11.3772 0.9509 lpop2 lblac2 lhisp2 hsed2 inco2 pbush2 pnade2 6 11.3788 0.9493 lpop2 lblac2 lhisp2 inco2 pbush2 pbrow2 7 11.4266 0.9508 whit2 lblac2 lhisp2 hsed2 inco2 pbush2 pbrow2 7 11.4409 0.9508 lpop2 lhisp2 o652 coll2 inco2 pbush2 pbrow2 8 11.4608 0.9524 lpop2 lblac2 lhisp2 hsed2 inco2 pbush2 pbrow2 pnade2 9 11.4990 0.9540 lpop2 whit2 lblac2 lhisp2 hsed2 coll2 inco2 pbush2 pnade2 9 11.5118 0.9540 lpop2 whit2 lblac2 lhisp2 coll2 inco2 pbush2 pbrow2 pnade2 7 11.5192 0.9508 lpop2 whit2 lblac2 lhisp2 hsed2 inco2 pbrow2 8 11.5317 0.9524 lpop2 lhisp2 o652 hsed2 inco2 pbush2 pbrow2 pnade2 7 11.5537 0.9507 lpop2 whit2 lhisp2 o652 hsed2 inco2 pbush2 8 11.5659 0.9523 lpop2 whit2 lhisp2 o652 inco2 pbush2 pbrow2 pnade2 10 11.6147 0.9555 lpop2 whit2 lhisp2 o652 hsed2 coll2 inco2 pbush2 pbrow2 pnade2 6 11.7420 0.9490 lpop2 lhisp2 inco2 pbush2 pbrow2 pnade2 7 11.7484 0.9506 lpop2 lblac2 lhisp2 inco2 pbush2 pbrow2 pnade2 7 11.7529 0.9506 lpop2 lhisp2 o652 hsed2 inco2 pbush2 pnade2 7 11.7918 0.9505 lpop2 lblac2 lhisp2 hsed2 inco2 pbush2 pbrow2 7 11.8345 0.9505 lpop2 whit2 lhisp2 o652 hsed2 inco2 pnade2 9 11.8704 0.9537 lpop2 whit2 lhisp2 o652 coll2 inco2 pbush2 pbrow2 pnade2 8 11.8790 0.9521 lpop2 whit2 lblac2 lhisp2 o652 inco2 pbush2 pbrow2 7 11.9016 0.9505 lpop2 whit2 lhisp2 hsed2 coll2 inco2 pbush2 6 11.9075 0.9489 lpop2 whit2 lhisp2 hsed2 inco2 pbrow2 7 11.9232 0.9504 lpop2 whit2 lblac2 lhisp2 o652 hsed2 inco2 8 11.9835 0.9520 lpop2 whit2 lblac2 lhisp2 inco2 pbush2 pbrow2 pnade2 11 12.0000 0.9568 lpop2 whit2 lblac2 lhisp2 o652 hsed2 coll2 inco2 pbush2 pbrow2 pnade2 5 12.0128 0.9472 lpop2 whit2 lhisp2 inco2 pbrow2 8 12.0257 0.9520 lpop2 whit2 lblac2 lhisp2 o652 hsed2 inco2 pbush2 9 12.0617 0.9535 lpop2 whit2 lblac2 lhisp2 o652 coll2 inco2 pbush2 pnade2 7 12.0859 0.9503 lpop2 lblac2 lhisp2 coll2 inco2 pbush2 pbrow2 8 12.1480 0.9519 lpop2 whit2 lhisp2 o652 hsed2 inco2 pbrow2 pnade2 9 12.1710 0.9534 lpop2 whit2 lblac2 lhisp2 o652 hsed2 coll2 inco2 pnade2 7 12.2124 0.9502 lpop2 lblac2 lhisp2 o652 inco2 pbush2 pnade2 9 12.2183 0.9534 lpop2 whit2 lblac2 lhisp2 o652 hsed2 coll2 inco2 pbrow2 8 12.4135 0.9517 lpop2 lblac2 lhisp2 o652 inco2 pbush2 pbrow2 pnade2 8 12.4633 0.9516 lpop2 lblac2 lhisp2 o652 hsed2 inco2 pbush2 pbrow2 6 12.4770 0.9484 lpop2 whit2 lhisp2 o652 hsed2 inco2 8 12.4787 0.9516 lpop2 lblac2 lhisp2 o652 coll2 inco2 pbush2 pnade2 8 12.5371 0.9516 lpop2 lhisp2 o652 hsed2 coll2 inco2 pbush2 pnade2 8 12.5615 0.9515 lpop2 lblac2 lhisp2 hsed2 coll2 inco2 pbush2 pnade2 8 12.5998 0.9515 lpop2 whit2 lblac2 lhisp2 hsed2 coll2 inco2 pbush2 7 12.6522 0.9499 lpop2 whit2 lblac2 lhisp2 coll2 inco2 pbush2 8 12.6572 0.9515 lpop2 whit2 lhisp2 o652 hsed2 coll2 inco2 pbrow2 8 12.7082 0.9514 lpop2 whit2 lblac2 lhisp2 o652 inco2 pbush2 pnade2 8 12.7122 0.9514 whit2 lblac2 lhisp2 hsed2 inco2 pbush2 pbrow2 pnade2 9 12.7357 0.9530 lpop2 lblac2 lhisp2 hsed2 coll2 inco2 pbush2 pbrow2 pnade2 7 12.9100 0.9497 whit2 lblac2 lhisp2 hsed2 inco2 pbush2 pnade2 8 12.9170 0.9512 lpop2 lblac2 lhisp2 o652 coll2 inco2 pbush2 pbrow2 9 12.9290 0.9528 lpop2 lhisp2 o652 hsed2 coll2 inco2 pbush2 pbrow2 pnade2 7 12.9412 0.9496 lpop2 whit2 lblac2 lhisp2 o652 inco2 pbush2 9 13.0665 0.9527 lpop2 lblac2 lhisp2 o652 coll2 inco2 pbush2 pbrow2 pnade2 The SAS System 14:21 Tuesday, November 21, 2000 The REG Procedure Model: MODEL1 Dependent Variable: y2 Backward Elimination: Step 0 All Variables Entered: R-Square = 0.9568 and C(p) = 12.0000 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 11 1570566 142779 108.68 <.0001 Error 54 70940 1313.69790 Corrected Total 65 1641505 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 54.94482 15.65792 16176 12.31 0.0009 lpop2 0.07969 0.03316 7584.53959 5.77 0.0197 whit2 0.01304 0.00601 6182.76291 4.71 0.0345 lblac2 0.09043 0.07116 2121.17387 1.61 0.2093 lhisp2 -0.21378 0.03469 49893 37.98 <.0001 o652 -0.00529 0.00565 1151.66951 0.88 0.3533 hsed2 -0.01058 0.00579 4382.71467 3.34 0.0733 coll2 -0.00157 0.00662 73.62342 0.06 0.8138 inco2 -0.02085 0.00623 14724 11.21 0.0015 pbush2 0.00410 0.00231 4144.16098 3.15 0.0813 pbrow2 0.22071 0.19552 1673.96105 1.27 0.2640 pnade2 0.05675 0.04900 1761.76974 1.34 0.2519 Bounds on condition number: 383.57, 13492 ----------------------------------------------------------------------------- Backward Elimination: Step 1 Variable coll2 Removed: R-Square = 0.9567 and C(p) = 10.0560 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 10 1570492 157049 121.64 <.0001 Error 55 71013 1291.15110 Corrected Total 65 1641505 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 55.34786 15.43095 16611 12.87 0.0007 lpop2 0.08098 0.03243 8048.99974 6.23 0.0156 whit2 0.01329 0.00587 6618.35494 5.13 0.0275 lblac2 0.08957 0.07046 2086.50787 1.62 0.2090 lhisp2 -0.21640 0.03258 56956 44.11 <.0001 o652 -0.00479 0.00519 1098.30096 0.85 0.3604 hsed2 -0.01132 0.00483 7085.96228 5.49 0.0228 inco2 -0.02128 0.00590 16786 13.00 0.0007 pbush2 0.00414 0.00228 4250.63682 3.29 0.0751 pbrow2 0.23133 0.18866 1941.37309 1.50 0.2253 pnade2 0.05101 0.04223 1884.12099 1.46 0.2322 Bounds on condition number: 372.03, 10729 ----------------------------------------------------------------------------- Backward Elimination: Step 2 Variable o652 Removed: R-Square = 0.9561 and C(p) = 8.8921 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 9 1569394 174377 135.42 <.0001 Error 56 72112 1287.70734 Corrected Total 65 1641505 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 57.01978 15.30365 17876 13.88 0.0005 lpop2 0.07869 0.03229 7645.93791 5.94 0.0180 whit2 0.00994 0.00460 6001.94293 4.66 0.0352 lblac2 0.07864 0.06936 1655.23427 1.29 0.2617 lhisp2 -0.19725 0.02507 79699 61.89 <.0001 hsed2 -0.00848 0.00372 6688.52377 5.19 0.0265 inco2 -0.02378 0.00524 26570 20.63 <.0001 pbush2 0.00517 0.00199 8693.64873 6.75 0.0120 pbrow2 0.28959 0.17753 3426.27570 2.66 0.1085 pnade2 0.03880 0.04005 1209.00062 0.94 0.3367 Bounds on condition number: 328.05, 7211.5 ----------------------------------------------------------------------------- Backward Elimination: Step 3 Variable pnade2 Removed: R-Square = 0.9553 and C(p) = 7.8124 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 8 1568185 196023 152.39 <.0001 Error 57 73321 1286.32652 Corrected Total 65 1641505 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 56.02055 15.26067 17334 13.48 0.0005 lpop2 0.07720 0.03224 7375.43330 5.73 0.0200 whit2 0.01102 0.00446 7855.14673 6.11 0.0165 lblac2 0.07341 0.06911 1451.24365 1.13 0.2926 lhisp2 -0.20262 0.02444 88408 68.73 <.0001 hsed2 -0.00827 0.00371 6383.82503 4.96 0.0299 inco2 -0.02310 0.00519 25530 19.85 <.0001 pbush2 0.00452 0.00187 7497.03648 5.83 0.0190 pbrow2 0.36788 0.15799 6974.33964 5.42 0.0235 Bounds on condition number: 327.3, 6189.5 ----------------------------------------------------------------------------- Backward Elimination: Step 4 Variable lblac2 Removed: R-Square = 0.9544 and C(p) = 6.9171 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 7 1566734 223819 173.61 <.0001 Error 58 74772 1289.16992 Corrected Total 65 1641505 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 68.81719 9.37746 69428 53.85 <.0001 lpop2 0.10611 0.01730 48508 37.63 <.0001 whit2 0.00681 0.00204 14311 11.10 0.0015 lhisp2 -0.20056 0.02439 87170 67.62 <.0001 hsed2 -0.00672 0.00342 4984.12746 3.87 0.0541 inco2 -0.02382 0.00515 27626 21.43 <.0001 pbush2 0.00490 0.00184 9183.32690 7.12 0.0099 pbrow2 0.37222 0.15811 7144.60778 5.54 0.0220 Bounds on condition number: 108.14, 2049.4 ----------------------------------------------------------------------------- Backward Elimination: Step 5 Variable hsed2 Removed: R-Square = 0.9514 and C(p) = 8.7111 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 6 1561749 260292 192.55 <.0001 Error 59 79756 1351.79632 Corrected Total 65 1641505 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 68.12786 9.59582 68139 50.41 <.0001 lpop2 0.08378 0.01336 53151 39.32 <.0001 whit2 0.00597 0.00205 11499 8.51 0.0050 lhisp2 -0.17985 0.02253 86166 63.74 <.0001 inco2 -0.02874 0.00461 52648 38.95 <.0001 pbush2 0.00418 0.00184 6964.92476 5.15 0.0269 pbrow2 0.22575 0.14281 3377.78141 2.50 0.1193 The SAS System 14:21 Tuesday, November 21, 2000 The REG Procedure Model: MODEL1 Dependent Variable: y2 Backward Elimination: Step 5 Bounds on condition number: 53.489, 804.57 ----------------------------------------------------------------------------- Backward Elimination: Step 6 Variable pbrow2 Removed: R-Square = 0.9494 and C(p) = 9.2823 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 5 1558372 311674 224.94 <.0001 Error 60 83134 1385.56274 Corrected Total 65 1641505 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 70.76313 9.56719 75800 54.71 <.0001 lpop2 0.08972 0.01298 66205 47.78 <.0001 whit2 0.00614 0.00207 12206 8.81 0.0043 lhisp2 -0.19255 0.02131 113162 81.67 <.0001 inco2 -0.02983 0.00461 57989 41.85 <.0001 pbush2 0.00444 0.00186 7881.45655 5.69 0.0203 Bounds on condition number: 49.252, 627.98 ----------------------------------------------------------------------------- All variables left in the model are significant at the 0.0500 level. Summary of Backward Elimination Variable Number Partial Model Step Removed Vars In R-Square R-Square C(p) F Value Pr > F 1 coll2 10 0.0000 0.9567 10.0560 0.06 0.8138 2 o652 9 0.0007 0.9561 8.8921 0.85 0.3604 3 pnade2 8 0.0007 0.9553 7.8124 0.94 0.3367 4 lblac2 7 0.0009 0.9544 6.9171 1.13 0.2926 5 hsed2 6 0.0030 0.9514 8.7111 3.87 0.0541 6 pbrow2 5 0.0021 0.9494 9.2823 2.50 0.1193 The SAS System 14:21 Tuesday, November 21, 2000 The REG Procedure Model: MODEL1 Dependent Variable: y3 C(p) Selection Method Number in Model C(p) R-Square Variables in Model 5 2.3495 0.7750 lpop lhisp hsed inco pbush 4 2.9273 0.7647 lhisp hsed inco pbush 4 2.9563 0.7646 lpop lhisp inco pbush 6 3.1018 0.7800 lpop whit lhisp hsed inco pbush 6 3.7598 0.7774 lpop lhisp hsed inco pbush pbrow 5 3.8625 0.7690 lhisp hsed inco pbush pbrow 5 3.9170 0.7687 lpop lhisp coll inco pbush 5 3.9303 0.7687 whit lhisp hsed inco pbush 6 3.9989 0.7764 lpop lhisp hsed inco pbush pnade 5 4.0139 0.7684 lpop whit lhisp inco pbush 6 4.0142 0.7763 lpop lblac lhisp hsed inco pbush 6 4.2314 0.7755 lpop lhisp o65 hsed inco pbush 5 4.2570 0.7674 lhisp hsed inco pbush pnade 5 4.3223 0.7671 lpop lhisp o65 inco pbush 7 4.3398 0.7830 lpop whit lblac lhisp hsed inco pbush 6 4.3486 0.7750 lpop lhisp hsed coll inco pbush 5 4.6917 0.7657 lblac lhisp hsed inco pbush 5 4.7693 0.7653 lpop lblac lhisp inco pbush 7 4.7698 0.7813 lpop whit lhisp hsed inco pbush pbrow 5 4.8774 0.7649 lpop lhisp inco pbush pbrow 7 4.8894 0.7808 lpop whit lhisp hsed coll inco pbush 5 4.9012 0.7648 lhisp hsed coll inco pbush 7 4.9100 0.7808 lpop whit lhisp o65 hsed inco pbush 5 4.9268 0.7647 lhisp o65 hsed inco pbush 5 4.9439 0.7646 lpop lhisp inco pbush pnade 7 5.1018 0.7800 lpop whit lhisp hsed inco pbush pnade 6 5.1566 0.7718 whit lhisp hsed inco pbush pbrow 6 5.1760 0.7717 lpop whit lblac lhisp inco pbush 6 5.2049 0.7716 whit lblac lhisp hsed inco pbush 6 5.2800 0.7713 whit lhisp o65 hsed inco pbush 6 5.3258 0.7711 lpop whit lhisp coll inco pbush 7 5.4947 0.7784 lpop lblac lhisp hsed inco pbush pbrow 7 5.5737 0.7781 lpop lhisp o65 hsed inco pbush pbrow 6 5.6156 0.7699 whit lhisp hsed coll inco pbush 6 5.6617 0.7698 lpop lhisp coll inco pbush pbrow 7 5.6784 0.7777 lpop lhisp hsed inco pbush pbrow pnade 6 5.6949 0.7696 lblac lhisp hsed inco pbush pbrow 6 5.7055 0.7696 lhisp hsed inco pbush pbrow pnade 7 5.7598 0.7774 lpop lhisp hsed coll inco pbush pbrow 6 5.7892 0.7693 lpop whit lhisp inco pbush pnade 6 5.7932 0.7692 lpop whit lhisp o65 hsed inco 6 5.8011 0.7692 whit lhisp hsed inco pbush pnade 6 5.8397 0.7691 lpop lhisp coll inco pbush pnade 6 5.8457 0.7690 lhisp o65 hsed inco pbush pbrow 6 5.8504 0.7690 lhisp hsed coll inco pbush pbrow 6 5.8638 0.7690 lpop lhisp o65 coll inco pbush 6 5.8727 0.7689 lpop lblac lhisp coll inco pbush 7 5.8998 0.7768 lpop lblac lhisp hsed inco pbush pnade 6 5.9222 0.7687 lpop whit lhisp o65 inco pbush 7 5.9453 0.7766 lpop lblac lhisp hsed coll inco pbush 7 5.9896 0.7764 lpop lhisp o65 hsed inco pbush pnade 7 5.9966 0.7764 lpop lhisp hsed coll inco pbush pnade 6 6.0055 0.7684 lpop whit lhisp inco pbush pbrow 7 6.0117 0.7764 lpop lblac lhisp o65 hsed inco pbush 6 6.1236 0.7679 lhisp o65 hsed inco pbush pnade 6 6.1336 0.7679 lpop lhisp o65 inco pbush pbrow 8 6.1433 0.7838 lpop whit lblac lhisp hsed inco pbush pbrow 7 6.1575 0.7758 lpop lhisp o65 hsed coll inco pbush 8 6.2112 0.7835 lpop whit lblac lhisp hsed coll inco pbush 6 6.2259 0.7675 lhisp hsed coll inco pbush pnade 5 6.2277 0.7595 lpop whit lhisp hsed inco 5 6.2382 0.7595 lpop whit lhisp inco pnade 6 6.2509 0.7674 lblac lhisp hsed inco pbush pnade 6 6.3005 0.7672 lpop lhisp o65 inco pbush pnade 8 6.3075 0.7832 lpop whit lblac lhisp o65 hsed inco pbush 6 6.3190 0.7671 lpop lblac lhisp o65 inco pbush 8 6.3216 0.7831 lpop whit lblac lhisp hsed inco pbush pnade 7 6.3726 0.7749 lpop whit lblac lhisp coll inco pbush 6 6.4928 0.7664 lblac lhisp o65 hsed inco pbush 6 6.5561 0.7662 lblac lhisp hsed coll inco pbush 6 6.6048 0.7660 lpop whit lhisp hsed inco pnade 8 6.6099 0.7820 lpop whit lhisp hsed coll inco pbush pbrow 7 6.6308 0.7739 whit lblac lhisp hsed inco pbush pbrow 4 6.6796 0.7497 lpop whit lhisp inco 8 6.6887 0.7816 lpop whit lhisp o65 hsed inco pbush pbrow 8 6.7048 0.7816 lpop whit lhisp hsed inco pbush pbrow pnade 6 6.7114 0.7656 lpop whit lblac lhisp hsed inco 6 6.7136 0.7656 lpop lblac lhisp inco pbush pbrow 6 6.7504 0.7654 lpop lblac lhisp inco pbush pnade 8 6.8263 0.7811 lpop whit lhisp o65 hsed coll inco pbush 7 6.8466 0.7730 whit lhisp o65 hsed inco pbush pbrow 7 6.8521 0.7730 lpop whit lblac lhisp o65 inco pbush 7 6.8672 0.7729 whit lblac lhisp o65 hsed inco pbush 6 6.8766 0.7649 lpop lhisp inco pbush pbrow pnade 8 6.8812 0.7809 lpop whit lhisp hsed coll inco pbush pnade 6 6.8939 0.7648 lhisp o65 hsed coll inco pbush 8 6.9044 0.7808 lpop whit lhisp o65 hsed inco pbush pnade 5 6.9278 0.7567 whit lhisp o65 hsed inco 7 6.9456 0.7726 whit lhisp hsed coll inco pbush pbrow 7 6.9634 0.7726 whit lblac lhisp hsed inco pbush pnade 7 6.9908 0.7724 whit lblac lhisp hsed coll inco pbush 7 7.0602 0.7722 lpop whit lblac lhisp inco pbush pnade 7 7.0798 0.7721 whit lhisp o65 hsed inco pbush pnade 5 7.1079 0.7560 lpop whit lblac lhisp inco 7 7.1561 0.7718 whit lhisp hsed inco pbush pbrow pnade 7 7.1742 0.7717 lpop whit lblac lhisp inco pbush pbrow 7 7.2229 0.7715 lpop whit lhisp coll inco pbush pbrow 7 7.2373 0.7715 whit lhisp o65 hsed coll inco pbush 7 7.2427 0.7714 lpop whit lblac lhisp o65 hsed inco 7 7.2707 0.7713 lpop whit lhisp o65 coll inco pbush 7 7.2811 0.7713 lpop whit lhisp coll inco pbush pnade 7 7.3084 0.7712 lpop whit lhisp o65 hsed inco pnade 6 7.3481 0.7630 lpop whit lblac lhisp inco pnade 8 7.4507 0.7786 lpop lblac lhisp hsed coll inco pbush pbrow 8 7.4816 0.7785 lpop lblac lhisp o65 hsed inco pbush pbrow 8 7.4849 0.7785 lpop lhisp o65 hsed coll inco pbush pbrow 8 7.4947 0.7784 lpop lblac lhisp hsed inco pbush pbrow pnade 7 7.5538 0.7702 whit lhisp hsed coll inco pbush pnade 8 7.5697 0.7781 lpop lhisp o65 hsed inco pbush pbrow pnade 7 7.5895 0.7701 lpop lhisp o65 coll inco pbush pbrow 7 7.6134 0.7700 lblac lhisp hsed coll inco pbush pbrow The SAS System 14:21 Tuesday, November 21, 2000 The REG Procedure Model: MODEL1 Dependent Variable: y3 Backward Elimination: Step 0 All Variables Entered: R-Square = 0.7844 and C(p) = 12.0000 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 11 320499 29136 17.86 <.0001 Error 54 88100 1631.47598 Corrected Total 65 408599 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept -549.76272 157.85942 19787 12.13 0.0010 lpop -10.07904 6.51103 3909.48497 2.40 0.1275 whit 1.41231 1.20546 2239.42214 1.37 0.2465 lblac 14.02100 19.81024 817.25782 0.50 0.4821 lhisp -34.31100 7.89923 30781 18.87 <.0001 o65 0.21887 1.43688 37.85566 0.02 0.8795 hsed -2.08579 1.37745 3740.88505 2.29 0.1358 coll 0.70785 1.92102 221.51365 0.14 0.7140 inco -5.72227 1.97536 13691 8.39 0.0054 pbush 1.48616 0.90702 4380.05278 2.68 0.1071 pbrow 18.77034 41.27715 337.36931 0.21 0.6511 pnade -2.91085 15.58738 56.89479 0.03 0.8526 Bounds on condition number: 7.0542, 515.45 ----------------------------------------------------------------------------- Backward Elimination: Step 1 Variable o65 Removed: R-Square = 0.7843 and C(p) = 10.0232 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 10 320461 32046 20.00 <.0001 Error 55 88138 1602.50107 Corrected Total 65 408599 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept -546.49714 155.00193 19920 12.43 0.0009 lpop -9.80863 6.20849 3999.84765 2.50 0.1199 whit 1.43163 1.18807 2326.89841 1.45 0.2334 lblac 13.53501 19.37724 781.86418 0.49 0.4878 lhisp -34.77799 7.21510 37233 23.23 <.0001 hsed -2.08677 1.36514 3744.47098 2.34 0.1321 coll 0.55116 1.60794 188.28542 0.12 0.7331 inco -5.59046 1.75990 16170 10.09 0.0024 pbush 1.42914 0.81880 4881.87952 3.05 0.0865 pbrow 16.23676 37.44080 301.37460 0.19 0.6662 pnade -1.92750 14.06123 30.11220 0.02 0.8915 Bounds on condition number: 6.9761, 381.99 ----------------------------------------------------------------------------- Backward Elimination: Step 2 Variable pnade Removed: R-Square = 0.7842 and C(p) = 8.0417 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 9 320431 35603 22.61 <.0001 Error 56 88168 1574.42270 Corrected Total 65 408599 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept -552.89835 146.49988 22425 14.24 0.0004 lpop -9.69248 6.09627 3979.80926 2.53 0.1175 whit 1.41796 1.17346 2298.86760 1.46 0.2320 lblac 14.22785 18.54185 927.02982 0.59 0.4461 lhisp -34.61470 7.05347 37917 24.08 <.0001 hsed -2.08603 1.35312 3741.88402 2.38 0.1288 coll 0.50662 1.56092 165.85680 0.11 0.7467 inco -5.64099 1.70572 17219 10.94 0.0017 pbush 1.49036 0.68023 7557.81832 4.80 0.0326 pbrow 14.00231 33.40963 276.55221 0.18 0.6767 Bounds on condition number: 6.9269, 302.4 ----------------------------------------------------------------------------- Backward Elimination: Step 3 Variable coll Removed: R-Square = 0.7838 and C(p) = 6.1433 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 8 320265 40033 25.83 <.0001 Error 57 88334 1549.71101 Corrected Total 65 408599 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept -566.03591 139.68778 25446 16.42 0.0002 lpop -9.77829 6.04255 4058.22708 2.62 0.1111 whit 1.38265 1.15920 2204.74461 1.42 0.2379 lblac 14.85727 18.29487 1022.04543 0.66 0.4201 lhisp -34.29546 6.92952 37959 24.49 <.0001 hsed -1.79477 1.00476 4944.76577 3.19 0.0794 inco -5.48006 1.61921 17751 11.45 0.0013 pbush 1.46552 0.67058 7401.67932 4.78 0.0330 pbrow 15.00887 33.00329 320.50315 0.21 0.6510 Bounds on condition number: 6.8674, 209.4 ----------------------------------------------------------------------------- Backward Elimination: Step 4 Variable pbrow Removed: R-Square = 0.7830 and C(p) = 4.3398 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 7 319945 45706 29.90 <.0001 Error 58 88654 1528.51777 Corrected Total 65 408599 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept -570.83293 138.33324 26028 17.03 0.0001 lpop -10.30202 5.89109 4674.37880 3.06 0.0856 whit 1.50025 1.12223 2731.71012 1.79 0.1865 lblac 16.17839 17.93882 1243.23524 0.81 0.3709 lhisp -34.41640 6.87691 38284 25.05 <.0001 hsed -1.66774 0.95853 4627.20109 3.03 0.0872 inco -5.70206 1.53328 21139 13.83 0.0005 pbush 1.42719 0.66070 7132.24320 4.67 0.0349 Bounds on condition number: 6.5256, 166.76 ----------------------------------------------------------------------------- Backward Elimination: Step 5 Variable lblac Removed: R-Square = 0.7800 and C(p) = 3.1018 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 6 318701 53117 34.86 <.0001 Error 59 89897 1523.68248 Corrected Total 65 408599 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept -459.45856 62.23477 83046 54.50 <.0001 lpop -10.23510 5.88130 4614.57808 3.03 0.0870 whit 0.60564 0.52398 2035.60480 1.34 0.2524 lhisp -34.15009 6.85969 37763 24.78 <.0001 hsed -1.68936 0.95671 4750.94017 3.12 0.0826 inco -5.77442 1.52876 21739 14.27 0.0004 pbush 1.52462 0.65078 8362.72037 5.49 0.0225 The SAS System 14:21 Tuesday, November 21, 2000 The REG Procedure Model: MODEL1 Dependent Variable: y3 Backward Elimination: Step 5 Bounds on condition number: 3.0675, 76.196 ----------------------------------------------------------------------------- Backward Elimination: Step 6 Variable whit Removed: R-Square = 0.7750 and C(p) = 2.3495 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 5 316666 63333 41.33 <.0001 Error 60 91933 1532.21452 Corrected Total 65 408599 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept -446.13318 61.32862 81082 52.92 <.0001 lpop -9.74557 5.88243 4205.53006 2.74 0.1028 lhisp -32.93341 6.79739 35967 23.47 <.0001 hsed -1.59219 0.95567 4252.94875 2.78 0.1009 inco -5.49807 1.51417 20202 13.18 0.0006 pbush 1.84447 0.59066 14941 9.75 0.0028 Bounds on condition number: 3.0516, 54.399 ----------------------------------------------------------------------------- Backward Elimination: Step 7 Variable lpop Removed: R-Square = 0.7647 and C(p) = 2.9273 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 4 312460 78115 49.56 <.0001 Error 61 96138 1576.03936 Corrected Total 65 408599 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept -493.40578 55.05739 126574 80.31 <.0001 lhisp -37.36054 6.33886 54748 34.74 <.0001 hsed -2.57866 0.75813 18234 11.57 0.0012 inco -5.71455 1.52994 21988 13.95 0.0004 pbush 2.13273 0.57247 21875 13.88 0.0004 Bounds on condition number: 2.082, 25.196 ----------------------------------------------------------------------------- All variables left in the model are significant at the 0.0500 level. Summary of Backward Elimination Variable Number Partial Model Step Removed Vars In R-Square R-Square C(p) F Value Pr > F 1 o65 10 0.0001 0.7843 10.0232 0.02 0.8795 2 pnade 9 0.0001 0.7842 8.0417 0.02 0.8915 3 coll 8 0.0004 0.7838 6.1433 0.11 0.7467 4 pbrow 7 0.0008 0.7830 4.3398 0.21 0.6510 5 lblac 6 0.0030 0.7800 3.1018 0.81 0.3709 6 whit 5 0.0050 0.7750 2.3495 1.34 0.2524 7 lpop 4 0.0103 0.7647 2.9273 2.74 0.1028 The SAS System 14:21 Tuesday, November 21, 2000 The REG Procedure Model: MODEL1 Dependent Variable: y4 C(p) Selection Method Number in Model C(p) R-Square Variables in Model 5 5.5178 0.9485 lpop3 whit3 lhisp3 inco3 pbush3 7 5.9731 0.9516 lpop3 whit3 lhisp3 hsed3 inco3 pbush3 pbrow3 6 5.9796 0.9498 lpop3 whit3 lhisp3 inco3 pbush3 pnade3 7 6.1878 0.9514 lpop3 whit3 lhisp3 hsed3 inco3 pbush3 pnade3 6 6.1899 0.9497 lpop3 lhisp3 coll3 inco3 pbush3 pnade3 6 6.2274 0.9496 lpop3 whit3 lhisp3 inco3 pbush3 pbrow3 6 6.7275 0.9492 lpop3 whit3 lhisp3 hsed3 inco3 pbush3 5 6.7552 0.9474 lpop3 lhisp3 inco3 pbush3 pnade3 6 6.8600 0.9491 lpop3 lhisp3 o653 inco3 pbush3 pbrow3 6 6.9531 0.9490 lpop3 lhisp3 hsed3 inco3 pbush3 pnade3 8 7.0258 0.9524 lpop3 whit3 lblac3 lhisp3 hsed3 inco3 pbush3 pnade3 6 7.0273 0.9489 lpop3 lhisp3 o653 inco3 pbush3 pnade3 8 7.0309 0.9524 lpop3 whit3 lhisp3 hsed3 inco3 pbush3 pbrow3 pnade3 7 7.1133 0.9506 lpop3 whit3 lhisp3 coll3 inco3 pbush3 pnade3 6 7.1391 0.9488 lpop3 whit3 lblac3 lhisp3 inco3 pbush3 8 7.2232 0.9522 lpop3 whit3 lblac3 lhisp3 hsed3 inco3 pbush3 pbrow3 6 7.4206 0.9486 lpop3 whit3 lhisp3 coll3 inco3 pbush3 6 7.4295 0.9486 lpop3 whit3 lhisp3 o653 inco3 pbush3 7 7.4747 0.9503 lpop3 whit3 lhisp3 o653 inco3 pbush3 pbrow3 6 7.5453 0.9485 lpop3 lblac3 lhisp3 inco3 pbush3 pnade3 7 7.5544 0.9502 lpop3 whit3 lhisp3 coll3 inco3 pbush3 pbrow3 7 7.6290 0.9501 lpop3 whit3 lhisp3 inco3 pbush3 pbrow3 pnade3 7 7.6566 0.9501 lpop3 whit3 lblac3 lhisp3 inco3 pbush3 pnade3 7 7.6846 0.9501 lpop3 lhisp3 coll3 inco3 pbush3 pbrow3 pnade3 7 7.8017 0.9500 lpop3 whit3 lblac3 lhisp3 hsed3 inco3 pbush3 8 7.8019 0.9517 lpop3 whit3 lhisp3 hsed3 coll3 inco3 pbush3 pbrow3 8 7.8334 0.9517 lpop3 whit3 lhisp3 o653 hsed3 inco3 pbush3 pnade3 7 7.8628 0.9499 lpop3 whit3 lhisp3 o653 inco3 pbush3 pnade3 8 7.9547 0.9516 lpop3 whit3 lhisp3 o653 hsed3 inco3 pbush3 pbrow3 7 8.0395 0.9498 lpop3 lhisp3 o653 inco3 pbush3 pbrow3 pnade3 7 8.0505 0.9498 lpop3 lhisp3 hsed3 coll3 inco3 pbush3 pnade3 7 8.0603 0.9498 lpop3 whit3 lblac3 lhisp3 inco3 pbush3 pbrow3 9 8.0790 0.9532 lpop3 whit3 lblac3 lhisp3 hsed3 inco3 pbush3 pbrow3 pnade3 7 8.0974 0.9497 lpop3 lblac3 lhisp3 coll3 inco3 pbush3 pnade3 7 8.1695 0.9497 lpop3 lhisp3 o653 coll3 inco3 pbush3 pnade3 8 8.1757 0.9514 lpop3 whit3 lhisp3 hsed3 coll3 inco3 pbush3 pnade3 7 8.1951 0.9497 lpop3 lblac3 lhisp3 hsed3 inco3 pbush3 pnade3 7 8.3601 0.9495 lpop3 lhisp3 o653 hsed3 inco3 pbush3 pnade3 7 8.3658 0.9495 lpop3 whit3 lhisp3 hsed3 coll3 inco3 pbush3 8 8.3771 0.9512 lpop3 whit3 lblac3 lhisp3 coll3 inco3 pbush3 pnade3 8 8.4377 0.9512 lpop3 whit3 lhisp3 coll3 inco3 pbush3 pbrow3 pnade3 7 8.5274 0.9494 lpop3 lblac3 lhisp3 o653 inco3 pbush3 pbrow3 7 8.5315 0.9494 lpop3 lhisp3 hsed3 inco3 pbush3 pbrow3 pnade3 5 8.5862 0.9459 lpop3 lblac3 lhisp3 inco3 pbush3 4 8.5975 0.9441 lpop3 whit3 lhisp3 inco3 7 8.6072 0.9493 lpop3 lhisp3 o653 hsed3 inco3 pbush3 pbrow3 9 8.6348 0.9527 lpop3 whit3 lblac3 lhisp3 o653 hsed3 inco3 pbush3 pnade3 6 8.6470 0.9475 lpop3 lblac3 lhisp3 inco3 pbush3 pbrow3 7 8.6489 0.9493 lpop3 whit3 lhisp3 o653 hsed3 inco3 pbush3 5 8.6789 0.9458 lpop3 lhisp3 o653 inco3 pbush3 6 8.7156 0.9475 lpop3 lhisp3 inco3 pbush3 pbrow3 pnade3 7 8.8321 0.9491 lpop3 lhisp3 o653 coll3 inco3 pbush3 pbrow3 7 8.8832 0.9491 lpop3 lblac3 lhisp3 o653 inco3 pbush3 pnade3 7 8.8963 0.9491 lpop3 whit3 lblac3 lhisp3 coll3 inco3 pbush3 8 8.9522 0.9507 lpop3 whit3 lhisp3 o653 coll3 inco3 pbush3 pnade3 7 8.9647 0.9490 lpop3 whit3 lblac3 lhisp3 o653 inco3 pbush3 9 8.9874 0.9524 lpop3 whit3 lhisp3 o653 hsed3 inco3 pbush3 pbrow3 pnade3 9 9.0125 0.9524 lpop3 whit3 lhisp3 hsed3 coll3 inco3 pbush3 pbrow3 pnade3 9 9.0213 0.9524 lpop3 whit3 lblac3 lhisp3 hsed3 coll3 inco3 pbush3 pnade3 9 9.0585 0.9524 lpop3 whit3 lblac3 lhisp3 hsed3 coll3 inco3 pbush3 pbrow3 8 9.1273 0.9506 lpop3 whit3 lhisp3 o653 inco3 pbush3 pbrow3 pnade3 8 9.1987 0.9505 lpop3 whit3 lblac3 lhisp3 coll3 inco3 pbush3 pbrow3 8 9.1991 0.9505 lpop3 lhisp3 o653 hsed3 inco3 pbush3 pbrow3 pnade3 5 9.2031 0.9453 lpop3 whit3 lhisp3 inco3 pbrow3 9 9.2110 0.9522 lpop3 whit3 lblac3 lhisp3 o653 hsed3 inco3 pbush3 pbrow3 8 9.2112 0.9505 lpop3 whit3 lblac3 lhisp3 o653 inco3 pbush3 pbrow3 7 9.2471 0.9488 lpop3 lblac3 lhisp3 inco3 pbush3 pbrow3 pnade3 8 9.3109 0.9504 lpop3 whit3 lhisp3 o653 coll3 inco3 pbush3 pbrow3 8 9.3857 0.9504 lpop3 lblac3 lhisp3 hsed3 inco3 pbush3 pbrow3 pnade3 7 9.4039 0.9486 lpop3 whit3 lhisp3 o653 coll3 inco3 pbush3 8 9.4162 0.9503 lpop3 whit3 lblac3 lhisp3 inco3 pbush3 pbrow3 pnade3 8 9.4224 0.9503 lpop3 lhisp3 o653 coll3 inco3 pbush3 pbrow3 pnade3 8 9.4427 0.9503 lpop3 lhisp3 hsed3 coll3 inco3 pbush3 pbrow3 pnade3 8 9.4511 0.9503 lpop3 whit3 lblac3 lhisp3 o653 inco3 pbush3 pnade3 8 9.4578 0.9503 lpop3 whit3 lblac3 lhisp3 hsed3 coll3 inco3 pbush3 8 9.5000 0.9503 lpop3 lblac3 lhisp3 coll3 inco3 pbush3 pbrow3 pnade3 7 9.5029 0.9485 lpop3 lblac3 lhisp3 hsed3 inco3 pbush3 pbrow3 5 9.5116 0.9451 lpop3 whit3 lblac3 lhisp3 inco3 8 9.7157 0.9501 lpop3 whit3 lblac3 lhisp3 o653 hsed3 inco3 pbush3 9 9.7200 0.9518 lpop3 whit3 lhisp3 o653 hsed3 coll3 inco3 pbush3 pbrow3 6 9.7386 0.9466 lpop3 lblac3 lhisp3 o653 inco3 pbush3 5 9.7567 0.9448 lpop3 whit3 lhisp3 o653 inco3 9 9.8069 0.9517 lpop3 whit3 lhisp3 o653 hsed3 coll3 inco3 pbush3 pnade3 7 9.8459 0.9482 lpop3 lblac3 lhisp3 coll3 inco3 pbush3 pbrow3 8 9.8769 0.9499 lpop3 lblac3 lhisp3 hsed3 coll3 inco3 pbush3 pnade3 9 9.8779 0.9517 lpop3 whit3 lblac3 lhisp3 coll3 inco3 pbush3 pbrow3 pnade3 8 9.9077 0.9499 lpop3 lblac3 lhisp3 o653 inco3 pbush3 pbrow3 pnade3 10 10.0020 0.9533 lpop3 whit3 lblac3 lhisp3 o653 hsed3 inco3 pbush3 pbrow3 pnade3 8 10.0222 0.9498 lpop3 lhisp3 o653 hsed3 coll3 inco3 pbush3 pnade3 6 10.0585 0.9463 lpop3 whit3 lhisp3 hsed3 inco3 pbrow3 10 10.0702 0.9532 lpop3 whit3 lblac3 lhisp3 hsed3 coll3 inco3 pbush3 pbrow3 pnade3 8 10.0965 0.9497 lpop3 lblac3 lhisp3 o653 coll3 inco3 pbush3 pnade3 8 10.1002 0.9497 lpop3 lblac3 lhisp3 o653 hsed3 inco3 pbush3 pnade3 8 10.1011 0.9497 lpop3 lblac3 lhisp3 o653 hsed3 inco3 pbush3 pbrow3 6 10.1696 0.9462 lpop3 whit3 lhisp3 o653 hsed3 inco3 9 10.2108 0.9514 lpop3 whit3 lblac3 lhisp3 o653 coll3 inco3 pbush3 pnade3 8 10.3595 0.9495 lpop3 whit3 lhisp3 o653 hsed3 coll3 inco3 pbush3 5 10.3640 0.9443 lpop3 whit3 lhisp3 hsed3 inco3 9 10.4366 0.9512 lpop3 whit3 lhisp3 o653 coll3 inco3 pbush3 pbrow3 pnade3 6 10.4436 0.9460 lpop3 lblac3 lhisp3 hsed3 inco3 pbush3 6 10.4850 0.9459 lpop3 lhisp3 coll3 inco3 pbush3 pbrow3 6 10.4855 0.9459 lpop3 lblac3 lhisp3 coll3 inco3 pbush3 8 10.4916 0.9494 lpop3 lblac3 lhisp3 o653 coll3 inco3 pbush3 pbrow3 6 10.5070 0.9459 lpop3 whit3 lblac3 lhisp3 inco3 pbrow3 5 10.5120 0.9442 lpop3 whit3 lhisp3 inco3 pnade3 7 10.5520 0.9476 lpop3 whit3 lhisp3 o653 hsed3 inco3 pbrow3 7 10.5671 0.9476 lpop3 whit3 lblac3 lhisp3 hsed3 inco3 pbrow3 8 10.5676 0.9493 lpop3 lhisp3 o653 hsed3 coll3 inco3 pbush3 pbrow3 6 10.5724 0.9459 lpop3 lhisp3 o653 coll3 inco3 pbush3 10 10.5838 0.9528 lpop3 whit3 lblac3 lhisp3 o653 hsed3 coll3 inco3 pbush3 pnade3 5 10.5898 0.9441 lpop3 whit3 lhisp3 coll3 inco3 The SAS System 14:21 Tuesday, November 21, 2000 The REG Procedure Model: MODEL1 Dependent Variable: y4 Backward Elimination: Step 0 All Variables Entered: R-Square = 0.9533 and C(p) = 12.0000 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 11 1376452 125132 100.19 <.0001 Error 54 67446 1248.99790 Corrected Total 65 1443897 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 100.91160 23.95164 22170 17.75 <.0001 lpop3 0.65603 0.22405 10708 8.57 0.0050 whit3 0.05981 0.03515 3616.33827 2.90 0.0946 lblac3 0.45909 0.46242 1231.12456 0.99 0.3252 lhisp3 -1.25185 0.21132 43830 35.09 <.0001 o653 -0.00922 0.03480 87.64262 0.07 0.7921 hsed3 -0.04713 0.03448 2334.28745 1.87 0.1773 coll3 -0.00193 0.04363 2.44760 0.00 0.9649 inco3 -0.14382 0.04039 15832 12.68 0.0008 pbush3 0.03638 0.01673 5902.64835 4.73 0.0341 pbrow3 0.90621 1.18599 729.21959 0.58 0.4481 pnade3 0.33189 0.33319 1239.29289 0.99 0.3236 Bounds on condition number: 187.39, 6495.8 ----------------------------------------------------------------------------- Backward Elimination: Step 1 Variable coll3 Removed: R-Square = 0.9533 and C(p) = 10.0020 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 10 1376449 137645 112.24 <.0001 Error 55 67448 1226.33335 Corrected Total 65 1443897 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 101.10922 23.31746 23058 18.80 <.0001 lpop3 0.65776 0.21860 11103 9.05 0.0039 whit3 0.05996 0.03465 3671.62612 2.99 0.0892 lblac3 0.45733 0.45649 1230.83396 1.00 0.3208 lhisp3 -1.25372 0.20519 45782 37.33 <.0001 o653 -0.00848 0.03027 96.25758 0.08 0.7804 hsed3 -0.04799 0.02824 3542.01891 2.89 0.0949 inco3 -0.14443 0.03762 18074 14.74 0.0003 pbush3 0.03648 0.01642 6050.79093 4.93 0.0305 pbrow3 0.91827 1.14379 790.40706 0.64 0.4255 pnade3 0.32509 0.29296 1510.10247 1.23 0.2720 Bounds on condition number: 181.67, 5114.9 ----------------------------------------------------------------------------- Backward Elimination: Step 2 Variable o653 Removed: R-Square = 0.9532 and C(p) = 8.0790 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 9 1376353 152928 126.79 <.0001 Error 56 67545 1206.15343 Corrected Total 65 1443897 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 101.25929 23.11871 23139 19.18 <.0001 lpop3 0.64887 0.21449 11038 9.15 0.0037 whit3 0.05512 0.02979 4130.00314 3.42 0.0695 lblac3 0.44835 0.45160 1188.85293 0.99 0.3251 lhisp3 -1.22261 0.17113 61563 51.04 <.0001 hsed3 -0.04369 0.02350 4168.13742 3.46 0.0683 inco3 -0.14835 0.03463 22132 18.35 <.0001 pbush3 0.03839 0.01482 8100.60627 6.72 0.0122 pbrow3 1.03957 1.04993 1182.45864 0.98 0.3264 pnade3 0.29663 0.27251 1429.11882 1.18 0.2810 Bounds on condition number: 177.84, 3812.6 ----------------------------------------------------------------------------- Backward Elimination: Step 3 Variable pbrow3 Removed: R-Square = 0.9524 and C(p) = 7.0258 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 8 1375170 171896 142.57 <.0001 Error 57 68727 1205.73773 Corrected Total 65 1443897 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 101.84379 23.10719 23422 19.43 <.0001 lpop3 0.62822 0.21344 10445 8.66 0.0047 whit3 0.05392 0.02976 3958.45676 3.28 0.0753 lblac3 0.49293 0.44928 1451.43906 1.20 0.2772 lhisp3 -1.21118 0.17071 60693 50.34 <.0001 hsed3 -0.03730 0.02259 3285.93840 2.73 0.1043 inco3 -0.16078 0.03227 29926 24.82 <.0001 pbush3 0.04043 0.01467 9156.51435 7.59 0.0078 pnade3 0.41510 0.24479 3467.13928 2.88 0.0954 Bounds on condition number: 176.16, 3285.4 ----------------------------------------------------------------------------- Backward Elimination: Step 4 Variable lblac3 Removed: R-Square = 0.9514 and C(p) = 6.1878 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 7 1373719 196246 162.19 <.0001 Error 58 70178 1209.97396 Corrected Total 65 1443897 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 123.51569 12.01177 127940 105.74 <.0001 lpop3 0.82490 0.11606 61125 50.52 <.0001 whit3 0.02593 0.01535 3453.83453 2.85 0.0965 lhisp3 -1.20730 0.17098 60330 49.86 <.0001 hsed3 -0.02901 0.02133 2237.88119 1.85 0.1791 inco3 -0.16363 0.03222 31200 25.79 <.0001 pbush3 0.04204 0.01462 10006 8.27 0.0056 pnade3 0.39604 0.24460 3172.07467 2.62 0.1108 Bounds on condition number: 52.998, 1165.1 ----------------------------------------------------------------------------- Backward Elimination: Step 5 Variable hsed3 Removed: R-Square = 0.9498 and C(p) = 5.9796 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 6 1371481 228580 186.23 <.0001 Error 59 72416 1227.39611 Corrected Total 65 1443897 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 121.50653 12.00609 125713 102.42 <.0001 lpop3 0.70986 0.08004 96553 78.66 <.0001 whit3 0.02598 0.01546 3466.75295 2.82 0.0981 lhisp3 -1.12275 0.16041 60126 48.99 <.0001 inco3 -0.18080 0.02986 45007 36.67 <.0001 pbush3 0.03641 0.01412 8159.02914 6.65 0.0124 pnade3 0.29309 0.23426 1921.28371 1.57 0.2158 The SAS System 14:21 Tuesday, November 21, 2000 The REG Procedure Model: MODEL1 Dependent Variable: y4 Backward Elimination: Step 5 Bounds on condition number: 30.933, 493.32 ----------------------------------------------------------------------------- Backward Elimination: Step 6 Variable pnade3 Removed: R-Square = 0.9485 and C(p) = 5.5178 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 5 1369560 273912 221.08 <.0001 Error 60 74338 1238.96091 Corrected Total 65 1443897 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 121.37798 12.06208 125456 101.26 <.0001 lpop3 0.70969 0.08041 96506 77.89 <.0001 whit3 0.03624 0.01316 9399.08108 7.59 0.0078 lhisp3 -1.19870 0.14918 79991 64.56 <.0001 inco3 -0.17489 0.02962 43193 34.86 <.0001 pbush3 0.02971 0.01313 6344.49928 5.12 0.0273 Bounds on condition number: 24.332, 334.01 ----------------------------------------------------------------------------- All variables left in the model are significant at the 0.0500 level. Summary of Backward Elimination Variable Number Partial Model Step Removed Vars In R-Square R-Square C(p) F Value Pr > F 1 coll3 10 0.0000 0.9533 10.0020 0.00 0.9649 2 o653 9 0.0001 0.9532 8.0790 0.08 0.7804 3 pbrow3 8 0.0008 0.9524 7.0258 0.98 0.3264 4 lblac3 7 0.0010 0.9514 6.1878 1.20 0.2772 5 hsed3 6 0.0015 0.9498 5.9796 1.85 0.1791 6 pnade3 5 0.0013 0.9485 5.5178 1.57 0.2158