Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The MEANS Procedure Analysis Variable : loglife Mean ƒƒƒƒƒƒƒƒƒƒƒƒ 4.1975109 ƒƒƒƒƒƒƒƒƒƒƒƒ Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: life_exp Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 991.12369 495.56184 13.75 <.0001 Error 35 1261.24473 36.03556 Corrected Total 37 2252.36842 Root MSE 6.00296 R-Square 0.4400 Dependent Mean 67.76316 Adj R-Sq 0.4080 Coeff Var 8.85874 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 70.25196 1.08770 64.59 <.0001 pptv 1 -0.02350 0.00965 -2.44 0.0201 ppdoc 1 -0.00043205 0.00020228 -2.14 0.0398 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation Frequency 9 ˆ ***** ***** ‚ ***** ***** ‚ ***** ***** ‚ ***** ***** ‚ ***** ***** 8 ˆ ***** ***** ***** ‚ ***** ***** ***** ‚ ***** ***** ***** ‚ ***** ***** ***** ‚ ***** ***** ***** 7 ˆ ***** ***** ***** ***** ‚ ***** ***** ***** ***** ‚ ***** ***** ***** ***** ‚ ***** ***** ***** ***** ‚ ***** ***** ***** ***** 6 ˆ ***** ***** ***** ***** ‚ ***** ***** ***** ***** ‚ ***** ***** ***** ***** ‚ ***** ***** ***** ***** ‚ ***** ***** ***** ***** 5 ˆ ***** ***** ***** ***** ‚ ***** ***** ***** ***** ‚ ***** ***** ***** ***** ‚ ***** ***** ***** ***** ‚ ***** ***** ***** ***** 4 ˆ ***** ***** ***** ***** ‚ ***** ***** ***** ***** ‚ ***** ***** ***** ***** ‚ ***** ***** ***** ***** ‚ ***** ***** ***** ***** 3 ˆ ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** 2 ˆ ***** ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ***** 1 ˆ ***** ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ***** Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ -12 -8 -4 0 4 8 Residual Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation Plot of e*yhat. Legend: A = 1 obs, B = 2 obs, etc. ‚ ‚ 10.0 ˆ ‚ ‚ A B ‚ B 7.5 ˆ ‚ ‚ C ‚ A 5.0 ˆ A ‚ A ‚ ‚ A 2.5 ˆ ‚ A B R ‚ A e ‚ A BB s 0.0 ˆ A i ‚ A d ‚ A u ‚ a -2.5 ˆ l ‚ AA ‚ A A ‚ -5.0 ˆ BA ‚ A A ‚ ‚ A -7.5 ˆ ‚ ‚ ‚ A -10.0 ˆ ‚ A ‚ A A ‚ -12.5 ˆ ‚ Šˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆ 40 45 50 55 60 65 70 Predicted Value of life_exp NOTE: 2 obs had missing values. Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: yp01 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1108.55289 554.27645 15.84 <.0001 Error 35 1224.99792 34.99994 Corrected Total 37 2333.55082 Root MSE 5.91607 R-Square 0.4750 Dependent Mean 228.85171 Adj R-Sq 0.4451 Coeff Var 2.58511 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 231.48324 1.07196 215.94 <.0001 pptv 1 -0.02490 0.00951 -2.62 0.0129 ppdoc 1 -0.00045582 0.00019935 -2.29 0.0284 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: yp02 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1093.92235 546.96117 15.59 <.0001 Error 35 1227.91376 35.08325 Corrected Total 37 2321.83611 Root MSE 5.92311 R-Square 0.4711 Dependent Mean 189.81599 Adj R-Sq 0.4409 Coeff Var 3.12045 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 192.43013 1.07324 179.30 <.0001 pptv 1 -0.02473 0.00952 -2.60 0.0136 ppdoc 1 -0.00045287 0.00019959 -2.27 0.0295 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: yp03 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1079.71206 539.85603 15.35 <.0001 Error 35 1231.10634 35.17447 Corrected Total 37 2310.81840 Root MSE 5.93081 R-Square 0.4672 Dependent Mean 159.71151 Adj R-Sq 0.4368 Coeff Var 3.71345 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 162.30866 1.07463 151.04 <.0001 pptv 1 -0.02457 0.00953 -2.58 0.0143 ppdoc 1 -0.00045000 0.00019985 -2.25 0.0307 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: yp04 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1065.91098 532.95549 15.11 <.0001 Error 35 1234.57593 35.27360 Corrected Total 37 2300.48691 Root MSE 5.93916 R-Square 0.4633 Dependent Mean 136.24210 Adj R-Sq 0.4327 Coeff Var 4.35927 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 138.82265 1.07614 129.00 <.0001 pptv 1 -0.02440 0.00954 -2.56 0.0151 ppdoc 1 -0.00044721 0.00020013 -2.23 0.0319 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: yp05 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1052.50843 526.25422 14.87 <.0001 Error 35 1238.32294 35.38066 Corrected Total 37 2290.83137 Root MSE 5.94816 R-Square 0.4594 Dependent Mean 117.74126 Adj R-Sq 0.4286 Coeff Var 5.05189 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 120.30559 1.07778 111.62 <.0001 pptv 1 -0.02425 0.00956 -2.54 0.0158 ppdoc 1 -0.00044450 0.00020044 -2.22 0.0332 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: yp06 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1039.49407 519.74703 14.64 <.0001 Error 35 1242.34796 35.49566 Corrected Total 37 2281.84202 Root MSE 5.95782 R-Square 0.4556 Dependent Mean 102.99233 Adj R-Sq 0.4244 Coeff Var 5.78473 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 105.54081 1.07953 97.77 <.0001 pptv 1 -0.02409 0.00957 -2.52 0.0166 ppdoc 1 -0.00044186 0.00020076 -2.20 0.0344 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: yp07 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1026.85791 513.42896 14.41 <.0001 Error 35 1246.65169 35.61862 Corrected Total 37 2273.50960 Root MSE 5.96813 R-Square 0.4517 Dependent Mean 91.10139 Adj R-Sq 0.4203 Coeff Var 6.55109 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 93.63441 1.08139 86.59 <.0001 pptv 1 -0.02394 0.00959 -2.50 0.0174 ppdoc 1 -0.00043930 0.00020111 -2.18 0.0357 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: yp08 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1014.59030 507.29515 14.19 <.0001 Error 35 1251.23502 35.74957 Corrected Total 37 2265.82532 Root MSE 5.97909 R-Square 0.4478 Dependent Mean 81.40734 Adj R-Sq 0.4162 Coeff Var 7.34466 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 83.92526 1.08338 77.47 <.0001 pptv 1 -0.02379 0.00961 -2.48 0.0183 ppdoc 1 -0.00043681 0.00020148 -2.17 0.0370 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: yp09 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1002.68190 501.34095 13.97 <.0001 Error 35 1256.09897 35.88854 Corrected Total 37 2258.78087 Root MSE 5.99070 R-Square 0.4439 Dependent Mean 73.41775 Adj R-Sq 0.4121 Coeff Var 8.15975 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 75.92093 1.08548 69.94 <.0001 pptv 1 -0.02364 0.00963 -2.46 0.0192 ppdoc 1 -0.00043439 0.00020187 -2.15 0.0384 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: yp10 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 991.12369 495.56184 13.75 <.0001 Error 35 1261.24473 36.03556 Corrected Total 37 2252.36842 Root MSE 6.00296 R-Square 0.4400 Dependent Mean 66.76316 Adj R-Sq 0.4080 Coeff Var 8.99143 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 69.25196 1.08770 63.67 <.0001 pptv 1 -0.02350 0.00965 -2.44 0.0201 ppdoc 1 -0.00043205 0.00020228 -2.14 0.0398 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: y00 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1123.61512 561.80756 16.09 <.0001 Error 35 1222.35873 34.92454 Corrected Total 37 2345.97385 Root MSE 5.90970 R-Square 0.4790 Dependent Mean 280.00011 Adj R-Sq 0.4492 Coeff Var 2.11061 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 282.64943 1.07081 263.96 <.0001 pptv 1 -0.02507 0.00950 -2.64 0.0123 ppdoc 1 -0.00045886 0.00019914 -2.30 0.0273 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: ym01 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1139.12086 569.56043 16.34 <.0001 Error 35 1219.99623 34.85704 Corrected Total 37 2359.11709 Root MSE 5.90398 R-Square 0.4829 Dependent Mean 347.69218 Adj R-Sq 0.4533 Coeff Var 1.69805 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 350.35969 1.06977 327.51 <.0001 pptv 1 -0.02524 0.00949 -2.66 0.0117 ppdoc 1 -0.00046197 0.00019895 -2.32 0.0262 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: ym02 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1155.08232 577.54116 16.60 <.0001 Error 35 1217.91064 34.79745 Corrected Total 37 2372.99296 Root MSE 5.89894 R-Square 0.4868 Dependent Mean 438.12922 Adj R-Sq 0.4574 Coeff Var 1.34639 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 440.81534 1.06886 412.42 <.0001 pptv 1 -0.02542 0.00948 -2.68 0.0111 ppdoc 1 -0.00046517 0.00019878 -2.34 0.0251 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: ym03 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1171.51216 585.75608 16.86 <.0001 Error 35 1216.10231 34.74578 Corrected Total 37 2387.61446 Root MSE 5.89456 R-Square 0.4907 Dependent Mean 560.02941 Adj R-Sq 0.4616 Coeff Var 1.05254 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 562.73456 1.06806 526.87 <.0001 pptv 1 -0.02560 0.00947 -2.70 0.0105 ppdoc 1 -0.00046845 0.00019863 -2.36 0.0241 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: ym04 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1188.42344 594.21172 17.12 <.0001 Error 35 1214.57178 34.70205 Corrected Total 37 2402.99521 Root MSE 5.89084 R-Square 0.4946 Dependent Mean 725.70079 Adj R-Sq 0.4657 Coeff Var 0.81175 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 728.42539 1.06739 682.44 <.0001 pptv 1 -0.02579 0.00947 -2.72 0.0100 ppdoc 1 -0.00047183 0.00019850 -2.38 0.0231 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: ym05 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1205.82969 602.91484 17.39 <.0001 Error 35 1213.31973 34.66628 Corrected Total 37 2419.14942 Root MSE 5.88781 R-Square 0.4985 Dependent Mean 952.58710 Adj R-Sq 0.4698 Coeff Var 0.61809 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 955.33160 1.06684 895.48 <.0001 pptv 1 -0.02597 0.00946 -2.75 0.0095 ppdoc 1 -0.00047529 0.00019840 -2.40 0.0221 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: ym06 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1223.74490 611.87245 17.66 <.0001 Error 35 1212.34703 34.63849 Corrected Total 37 2436.09193 Root MSE 5.88545 R-Square 0.5023 Dependent Mean 1265.50010 Adj R-Sq 0.4739 Coeff Var 0.46507 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 1268.26492 1.06641 1189.28 <.0001 pptv 1 -0.02616 0.00946 -2.77 0.0090 ppdoc 1 -0.00047884 0.00019832 -2.41 0.0211 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: ym07 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1242.18353 621.09176 17.94 <.0001 Error 35 1211.65469 34.61871 Corrected Total 37 2453.83822 Root MSE 5.88377 R-Square 0.5062 Dependent Mean 1699.84973 Adj R-Sq 0.4780 Coeff Var 0.34613 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 1702.63533 1.06611 1597.06 <.0001 pptv 1 -0.02636 0.00946 -2.79 0.0085 ppdoc 1 -0.00048248 0.00019827 -2.43 0.0202 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: ym08 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1261.16054 630.58027 18.22 <.0001 Error 35 1211.24390 34.60697 Corrected Total 37 2472.40444 Root MSE 5.88277 R-Square 0.5101 Dependent Mean 2306.32784 Adj R-Sq 0.4821 Coeff Var 0.25507 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 2309.13468 1.06593 2166.32 <.0001 pptv 1 -0.02656 0.00945 -2.81 0.0081 ppdoc 1 -0.00048622 0.00019823 -2.45 0.0193 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: ym09 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1280.69142 640.34571 18.51 <.0001 Error 35 1211.11601 34.60331 Corrected Total 37 2491.80743 Root MSE 5.88246 R-Square 0.5140 Dependent Mean 3157.71191 Adj R-Sq 0.4862 Coeff Var 0.18629 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 3160.54044 1.06587 2965.22 <.0001 pptv 1 -0.02676 0.00945 -2.83 0.0076 ppdoc 1 -0.00049006 0.00019822 -2.47 0.0184 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: ym10 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1300.79217 650.39608 18.79 <.0001 Error 35 1211.27256 34.60779 Corrected Total 37 2512.06472 Root MSE 5.88284 R-Square 0.5178 Dependent Mean 4358.76574 Adj R-Sq 0.4903 Coeff Var 0.13497 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 4361.61643 1.06594 4091.81 <.0001 pptv 1 -0.02696 0.00945 -2.85 0.0072 ppdoc 1 -0.00049399 0.00019823 -2.49 0.0176 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: ym11 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1321.47934 660.73967 19.09 <.0001 Error 35 1211.71524 34.62044 Corrected Total 37 2533.19458 Root MSE 5.88391 R-Square 0.5217 Dependent Mean 6060.67053 Adj R-Sq 0.4943 Coeff Var 0.09708 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 6063.54387 1.06613 5687.42 <.0001 pptv 1 -0.02717 0.00946 -2.87 0.0069 ppdoc 1 -0.00049801 0.00019827 -2.51 0.0168 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: ym12 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1342.77008 671.38504 19.38 <.0001 Error 35 1212.44593 34.64131 Corrected Total 37 2555.21601 Root MSE 5.88569 R-Square 0.5255 Dependent Mean 8482.09159 Adj R-Sq 0.4984 Coeff Var 0.06939 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 8484.98805 1.06645 7956.26 <.0001 pptv 1 -0.02738 0.00946 -2.89 0.0065 ppdoc 1 -0.00050214 0.00019833 -2.53 0.0160 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: ym13 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1364.68210 682.34105 19.68 <.0001 Error 35 1213.46670 34.67048 Corrected Total 37 2578.14880 Root MSE 5.88816 R-Square 0.5293 Dependent Mean 11940 Adj R-Sq 0.5024 Coeff Var 0.04931 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 11943 1.06690 11194.0 <.0001 pptv 1 -0.02760 0.00946 -2.92 0.0061 ppdoc 1 -0.00050638 0.00019841 -2.55 0.0152 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: ym14 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1387.23373 693.61687 19.98 <.0001 Error 35 1214.77978 34.70799 Corrected Total 37 2602.01351 Root MSE 5.89135 R-Square 0.5331 Dependent Mean 16895 Adj R-Sq 0.5065 Coeff Var 0.03487 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 16898 1.06748 15829.4 <.0001 pptv 1 -0.02782 0.00947 -2.94 0.0058 ppdoc 1 -0.00051071 0.00019852 -2.57 0.0145 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: ym15 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1410.44394 705.22197 20.29 <.0001 Error 35 1216.38759 34.75393 Corrected Total 37 2626.83153 Root MSE 5.89525 R-Square 0.5369 Dependent Mean 24016 Adj R-Sq 0.5105 Coeff Var 0.02455 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 24019 1.06819 22485.6 <.0001 pptv 1 -0.02804 0.00947 -2.96 0.0055 ppdoc 1 -0.00051516 0.00019865 -2.59 0.0138 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation Plot of sse*lambda. Legend: A = 1 obs, B = 2 obs, etc. sse ‚ ‚ 1360 ˆ ‚ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ ‚ ‚ ‚ 1340 ˆ ‚ ‚ ‚ ‚ 1320 ˆ ‚ ‚ ‚ ‚ 1300 ˆ ‚ ‚ ‚ ‚ 1280 ˆ ‚ ‚ ‚ ‚ 1260 ˆ A ‚ A ‚ A ‚ A ‚ A 1240 ˆ A ‚ A ‚ A ‚ A ‚ A A 1220 ˆ A ‚ A A A A A ‚ A A A A A A A A A ‚ ‚ 1200 ˆ ‚ Šƒƒˆƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒˆƒƒ -1.5 -1.0 -0.5 0.0 0.5 1.0 lambda Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation The REG Procedure Model: MODEL1 Dependent Variable: ym10 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1300.79217 650.39608 18.79 <.0001 Error 35 1211.27256 34.60779 Corrected Total 37 2512.06472 Root MSE 5.88284 R-Square 0.5178 Dependent Mean 4358.76574 Adj R-Sq 0.4903 Coeff Var 0.13497 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 4361.61643 1.06594 4091.81 <.0001 pptv 1 -0.02696 0.00945 -2.85 0.0072 ppdoc 1 -0.00049399 0.00019823 -2.49 0.0176 Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation Frequency 10 ˆ ***** ‚ ***** ‚ ***** ‚ ***** 9 ˆ ***** ***** ***** ‚ ***** ***** ***** ‚ ***** ***** ***** ‚ ***** ***** ***** 8 ˆ ***** ***** ***** ‚ ***** ***** ***** ‚ ***** ***** ***** ‚ ***** ***** ***** 7 ˆ ***** ***** ***** ‚ ***** ***** ***** ‚ ***** ***** ***** ‚ ***** ***** ***** 6 ˆ ***** ***** ***** ‚ ***** ***** ***** ‚ ***** ***** ***** ‚ ***** ***** ***** 5 ˆ ***** ***** ***** ***** ‚ ***** ***** ***** ***** ‚ ***** ***** ***** ***** ‚ ***** ***** ***** ***** 4 ˆ ***** ***** ***** ***** ‚ ***** ***** ***** ***** ‚ ***** ***** ***** ***** ‚ ***** ***** ***** ***** 3 ˆ ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** 2 ˆ ***** ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ***** 1 ˆ ***** ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ***** Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ -12 -8 -4 0 4 8 Residual Televisions, Physicians and Life Expectancy Illustration of Box-Cox Transformation Plot of te*tyhat. Legend: A = 1 obs, B = 2 obs, etc. ‚ ‚ 10 ˆ ‚ A ‚ ‚ A ‚ C ‚ ‚ C 5 ˆ AA ‚ A ‚ ‚ A A ‚ AB ‚ A R ‚ BC e 0 ˆ A s ‚ A i ‚ d ‚ AA u ‚ A A a ‚ l ‚ BA -5 ˆ A A ‚ ‚ ‚ ‚ A ‚ ‚ A -10 ˆ ‚ ‚ A ‚ A ‚ ‚ A ‚ -15 ˆ ‚ Šƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒ 4330 4340 4350 4360 4370 Predicted Value of ym10 NOTE: 2 obs had missing values.