The SAS System Plot of m*w. A=1, B=2, etc. Plot of m*h. A=1, B=2, etc. m | m | 80 + A 80 + A | | | A | A | A B | A A A | A A A A | BAA 70 + A C AC B 70 + A AA B AAA A A | A C A | AA B A | A A AA | A A A A | AA | A A | A B A | A A AA 60 + A 60 + A | A A | A A | | | | | | 50 + 50 + --+------+------+------+------+-- -+--------------+--------------+- 75 100 125 150 175 2500 3000 3500 w h Plot of w*h. A=1, B=2, etc. 175 + | | A A | A A 150 + | A A B AB A A A w | AA A | A AAAB B AB 125 + | A A A | A A A | 100 + A A A | | | 75 + -+--------------+--------------+ 2500 3000 3500 h The SAS System The REG Procedure Model: MODEL1 Dependent Variable: h Number of Observations Read 37 Number of Observations Used 37 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 713520 356760 16.48 <.0001 Error 34 736024 21648 Corrected Total 36 1449544 Root MSE 147.13176 R-Square 0.4922 Dependent Mean 3015.70270 Adj R-Sq 0.4624 Coeff Var 4.87885 Parameter Estimates Parameter Standard Variance Variable DF Estimate Error t Value Pr > |t| Inflation Intercept 1 977.42536 376.05311 2.60 0.0137 0 m 1 17.77770 4.94281 3.60 0.0010 1.00965 w 1 6.24364 1.52213 4.10 0.0002 1.00965 The SAS System The REG Procedure Model: MODEL1 Dependent Variable: h Output Statistics Dependent Predicted Std Error Std Error Student Obs Variable Value Mean Predict Residual Residual Residual 1 3398 3311 57.0719 86.9116 135.6 0.641 2 2988 2957 41.0637 30.6256 141.3 0.217 3 3048 3105 29.2528 -57.0960 144.2 -0.396 4 2781 2899 59.1551 -117.8746 134.7 -0.875 5 2912 3194 41.7618 -281.9845 141.1 -1.999 6 3135 3003 25.3345 131.6324 144.9 0.908 7 3261 3096 28.8805 164.7929 144.3 1.142 8 3030 3060 55.4891 -30.4228 136.3 -0.223 9 3139 3000 25.1862 139.1880 145.0 0.960 10 2996 3030 32.4587 -34.4296 143.5 -0.240 11 3248 3030 27.5737 217.9659 144.5 1.508 12 3117 3096 28.8805 20.7929 144.3 0.144 13 2891 3000 37.1307 -109.2075 142.4 -0.767 14 2667 2794 45.7559 -126.8196 139.8 -0.907 15 3403 3174 37.9975 228.5710 142.1 1.608 16 2999 2875 41.5245 123.8750 141.2 0.878 17 3318 3082 26.8921 235.8577 144.7 1.631 18 2989 3153 66.1218 -164.4391 131.4 -1.251 19 2936 2875 41.5245 60.8750 141.2 0.431 20 3020 2988 30.7577 32.0796 143.9 0.223 21 2812 2857 46.0121 -45.4427 139.8 -0.325 22 2962 2871 64.2723 91.2119 132.4 0.689 23 3236 3010 24.9516 225.7644 145.0 1.557 24 3214 3032 26.5824 182.4312 144.7 1.261 25 3389 3246 51.3027 143.3173 137.9 1.039 26 2908 2968 25.7989 -59.5691 144.9 -0.411 27 3063 3022 26.6143 41.3019 144.7 0.285 28 2956 3051 29.0770 -95.1243 144.2 -0.660 29 3023 3174 36.6978 -150.6044 142.5 -1.057 30 3001 3017 25.3530 -16.3467 144.9 -0.113 31 2841 3085 31.9054 -243.7159 143.6 -1.697 32 3117 3224 50.6348 -107.3494 138.1 -0.777 33 2733 2912 30.5245 -178.6623 143.9 -1.241 34 2808 3059 44.2339 -251.2173 140.3 -1.790 35 2813 2787 58.7554 25.7671 134.9 0.191 36 2615 2606 75.4471 9.0997 126.3 0.0720 37 2814 2936 40.3077 -121.7552 141.5 -0.860 The SAS System The REG Procedure Model: MODEL1 Dependent Variable: h Output Statistics Cook's Hat Diag Cov Obs -2-1 0 1 2 D RStudent H Ratio DFFITS 1 | |* | 0.024 0.6352 0.1505 1.2413 0.2673 2 | | | 0.001 0.2137 0.0779 1.1812 0.0621 3 | | | 0.002 -0.3910 0.0395 1.1230 -0.0793 4 | *| | 0.049 -0.8719 0.1616 1.2184 -0.3829 5 | ***| | 0.117 -2.0961 0.0806 0.8176 -0.6205 6 | |* | 0.008 0.9058 0.0296 1.0470 0.1583 7 | |** | 0.017 1.1476 0.0385 1.0115 0.2297 8 | | | 0.003 -0.2201 0.1422 1.2694 -0.0896 9 | |* | 0.009 0.9590 0.0293 1.0375 0.1666 10 | | | 0.001 -0.2366 0.0487 1.1438 -0.0535 11 | |*** | 0.028 1.5382 0.0351 0.9209 0.2935 12 | | | 0.000 0.1420 0.0385 1.1354 0.0284 13 | *| | 0.013 -0.7623 0.0637 1.1085 -0.1988 14 | *| | 0.029 -0.9045 0.0967 1.1250 -0.2960 15 | |*** | 0.062 1.6482 0.0667 0.9243 0.4406 16 | |* | 0.022 0.8746 0.0797 1.1094 0.2573 17 | |*** | 0.031 1.6731 0.0334 0.8863 0.3110 18 | **| | 0.132 -1.2619 0.2020 1.1898 -0.6348 19 | | | 0.005 0.4261 0.0797 1.1689 0.1253 20 | | | 0.001 0.2198 0.0437 1.1387 0.0470 21 | | | 0.004 -0.3208 0.0978 1.2010 -0.1056 22 | |* | 0.037 0.6837 0.1908 1.2958 0.3320 23 | |*** | 0.024 1.5917 0.0288 0.9020 0.2739 24 | |** | 0.018 1.2721 0.0326 0.9793 0.2337 25 | |** | 0.050 1.0406 0.1216 1.1301 0.3871 26 | | | 0.002 -0.4062 0.0307 1.1116 -0.0723 27 | | | 0.001 0.2815 0.0327 1.1226 0.0518 28 | *| | 0.006 -0.6540 0.0391 1.0950 -0.1318 29 | **| | 0.025 -1.0589 0.0622 1.0550 -0.2727 30 | | | 0.000 -0.1111 0.0297 1.1259 -0.0194 31 | ***| | 0.047 -1.7473 0.0470 0.8801 -0.3881 32 | *| | 0.027 -0.7725 0.1184 1.1757 -0.2831 33 | **| | 0.023 -1.2516 0.0430 0.9944 -0.2654 34 | ***| | 0.106 -1.8532 0.0904 0.8934 -0.5842 35 | | | 0.002 0.1883 0.1595 1.2970 0.0820 36 | | | 0.001 0.0710 0.2629 1.4832 0.0424 37 | *| | 0.020 -0.8571 0.0751 1.1069 -0.2441 The SAS System The REG Procedure Model: MODEL1 Dependent Variable: h Output Statistics -------------DFBETAS------------- Obs Intercept m w 1 -0.2278 0.1692 0.1558 2 0.0014 0.0276 -0.0444 3 0.0310 -0.0152 -0.0402 4 -0.2390 0.3347 -0.1323 5 0.4795 -0.4506 -0.1846 6 0.0078 0.0268 -0.0412 7 -0.0743 0.0250 0.1200 8 -0.0164 0.0542 -0.0647 9 0.0138 0.0218 -0.0429 10 -0.0100 0.0250 -0.0278 11 -0.0533 0.1245 -0.0778 12 -0.0092 0.0031 0.0148 13 -0.0705 0.1261 -0.0947 14 -0.2541 0.1760 0.1612 15 -0.3210 0.2886 0.1502 16 0.1994 -0.2072 -0.0077 17 -0.1160 0.1023 0.0791 18 0.3784 -0.5684 0.2161 19 0.0971 -0.1010 -0.0037 20 0.0184 -0.0265 0.0144 21 -0.0839 0.0894 0.0006 22 0.0411 0.1355 -0.2881 23 0.0055 0.0452 -0.0539 24 -0.0396 0.0883 -0.0483 25 -0.2223 0.0657 0.3270 26 -0.0295 0.0217 0.0105 27 0.0081 -0.0155 0.0165 28 0.0412 -0.0702 0.0273 29 0.1869 -0.1413 -0.1342 30 0.0009 -0.0047 0.0039 31 0.0523 0.0694 -0.2490 32 0.1368 -0.0155 -0.2456 33 -0.1503 0.0698 0.1386 34 0.2288 -0.4359 0.2634 35 0.0384 0.0042 -0.0747 36 0.0394 -0.0266 -0.0273 37 -0.0321 -0.0845 0.1835 Sum of Residuals 0 Sum of Squared Residuals 736024 Predicted Residual SS (PRESS) 852966