Getting Started: SSM Procedure
/*--------------------------------------------------------------
SAS Sample Library
Name: ssmgs.sas
Description: Example program from SAS/ETS User's Guide,
The SSM Procedure
Title: Getting Started: SSM Procedure
Product: SAS/ETS Software
Keys: state space model, panel data
PROC: SSM
Notes:
--------------------------------------------------------------*/
data cigar;
input year region lsales lprice lndi lpimin;
label lsales = 'Log cigarette sales in packs per capita';
label lprice = 'Log price per pack of cigarettes';
label lndi = 'Log per capita disposable income';
label lpimin = 'Log minimum price in adjoining regions
per pack of cigarettes';
year = intnx( 'year', '1jan63'd, year-63 );
format year year.;
datalines;
63 1 4.54223 3.35341 7.3514 3.26194
63 2 4.82831 3.17388 7.5729 3.21487
63 3 4.63860 3.29584 7.3000 3.25037
63 4 4.95583 3.23080 7.9288 3.17388
63 5 5.05114 3.28840 7.9772 3.26576
63 6 5.11078 3.28840 7.7238 3.28840
63 7 5.50696 3.15274 7.9132 3.20680
63 8 4.92362 3.26957 7.5912 3.29213
63 9 4.68491 3.29213 7.4639 3.26194
63 10 4.57471 3.33220 7.5698 3.21487
63 11 4.98018 3.23475 7.8845 3.18221
63 12 4.93087 3.19458 7.6982 3.18221
63 13 4.74406 3.27336 7.6746 3.23475
63 14 4.75186 3.25037 7.6726 3.25037
63 15 4.83866 3.18221 7.4527 3.19458
63 16 4.73620 3.40453 7.4241 3.29584
63 17 4.93015 3.28466 7.5383 3.18635
63 18 4.80974 3.33932 7.7460 3.15274
63 19 4.95723 3.33220 7.8232 3.18635
63 20 4.84182 3.36038 7.7191 3.19458
63 21 4.72384 3.35690 7.6340 3.27336
63 22 4.42963 3.41773 7.1873 3.26194
63 23 4.89185 3.25037 7.6871 3.18221
63 24 4.77828 3.41773 7.6400 3.26576
63 25 4.77491 3.25037 7.6281 3.25037
63 26 5.35988 3.39786 7.9504 3.17388
63 27 5.39997 3.18635 7.7494 3.28466
63 28 4.95159 3.36038 7.9574 3.26576
63 29 4.52721 3.40453 7.5146 3.17388
63 30 4.98975 3.26576 7.8773 3.28840
63 31 4.63764 3.29953 7.5230 3.28091
63 32 4.87061 3.26957 7.7155 3.18221
63 33 4.73092 3.34639 7.4897 3.25037
63 34 4.85437 3.28840 7.6909 3.26576
63 35 4.97397 3.29584 7.7087 3.28840
63 36 4.47961 3.30689 7.3120 3.29213
63 37 4.66344 3.28091 7.4849 3.25037
63 38 4.70320 3.26194 7.4247 3.18221
63 39 4.73092 3.38439 7.5480 3.29584
63 40 4.27667 3.21487 7.6308 3.17388
63 41 4.89410 3.33932 7.6219 3.18635
63 42 4.81056 3.20680 7.5684 3.15274
63 43 4.59613 3.40453 7.7871 3.33220
63 44 4.71671 3.32143 7.3765 3.18221
63 45 4.70411 3.31782 7.6715 3.23475
63 46 4.83310 3.26576 7.7020 3.21487
64 1 4.55808 3.39451 7.4290 3.31419
64 2 4.79579 3.17805 7.6322 3.23868
64 3 4.63084 3.30689 7.3840 3.24649
64 4 4.92943 3.23868 7.9980 3.17805
64 5 4.96634 3.32504 8.0405 3.29213
64 6 5.14108 3.29953 7.7516 3.34990
64 7 5.46086 3.17388 7.9704 3.22684
64 8 4.83231 3.39115 7.6605 3.31419
64 9 4.67842 3.31419 7.5315 3.27714
64 10 4.50092 3.38099 7.6116 3.26576
64 11 4.97328 3.24259 7.9486 3.21888
64 12 4.90008 3.25810 7.7599 3.21888
64 13 4.69775 3.32863 7.7322 3.24259
64 14 4.71133 3.24259 7.7479 3.24649
64 15 4.84419 3.21888 7.4916 3.22684
64 16 4.73620 3.40453 7.4858 3.30689
64 17 4.92290 3.28840 7.6220 3.20680
64 18 4.80566 3.34990 7.8174 3.17388
64 19 4.93231 3.34639 7.8838 3.20680
64 20 4.82831 3.37759 7.8089 3.25810
64 21 4.65110 3.40453 7.6765 3.32863
64 22 4.45551 3.41444 7.2323 3.30689
64 23 4.86753 3.24649 7.7464 3.21888
64 24 4.72562 3.42751 7.6670 3.26576
64 25 4.66627 3.31419 7.6667 3.24259
64 26 5.32933 3.38439 7.9791 3.17805
64 27 5.41120 3.20680 7.8190 3.28840
64 28 4.90971 3.40120 8.0254 3.29213
64 29 4.49870 3.40784 7.5658 3.17805
64 30 4.95018 3.29213 7.9470 3.32504
64 31 4.62497 3.34990 7.5183 3.34990
64 32 4.86291 3.27336 7.7868 3.21888
64 33 4.71402 3.36038 7.5650 3.24259
64 34 4.76559 3.39115 7.7598 3.27336
64 35 4.94378 3.30689 7.7680 3.32504
64 36 4.49647 3.27714 7.3898 3.31419
64 37 4.59915 3.34990 7.4877 3.26576
64 38 4.65871 3.36730 7.4940 3.21888
64 39 4.70682 3.39115 7.6226 3.30689
64 40 4.13196 3.38099 7.6876 3.17805
64 41 4.86059 3.37759 7.6911 3.20680
64 42 4.77491 3.22684 7.6660 3.17388
64 43 4.55808 3.39786 7.8513 3.38099
64 44 4.69135 3.33220 7.4510 3.21888
64 45 4.66532 3.38439 7.7439 3.24259
64 46 4.89784 3.26576 7.7508 3.31419
65 1 4.59006 3.39451 7.5010 3.36384
65 2 4.81381 3.18635 7.6791 3.23080
65 3 4.60817 3.30322 7.4444 3.26194
65 4 4.94164 3.23080 8.0417 3.18635
65 5 4.99043 3.33577 8.0863 3.27714
65 6 5.14049 3.30322 7.8357 3.32863
65 7 5.50736 3.18221 8.0289 3.22287
65 8 4.87596 3.39115 7.7240 3.39451
65 9 4.63957 3.43076 7.6129 3.26576
65 10 4.55598 3.37074 7.7417 3.26194
65 11 4.98018 3.26576 8.0189 3.19867
65 12 4.90749 3.25810 7.8486 3.19867
65 13 4.75359 3.33577 7.8390 3.26194
65 14 4.68028 3.33577 7.8195 3.26194
65 15 4.85748 3.19867 7.5682 3.22287
65 16 4.76644 3.41115 7.5550 3.30322
65 17 4.93519 3.30322 7.7021 3.20680
65 18 4.79579 3.32863 7.8746 3.18221
65 19 4.91632 3.34639 7.9382 3.20680
65 20 4.88129 3.35690 7.8917 3.25810
65 21 4.69318 3.40784 7.7667 3.33577
65 22 4.42485 3.44681 7.3112 3.30322
65 23 4.86907 3.26194 7.8187 3.19867
65 24 4.77068 3.43399 7.7372 3.26194
65 25 4.70502 3.31782 7.7814 3.26194
65 26 5.26113 3.39115 8.0117 3.18635
65 27 5.45447 3.20680 7.8756 3.30322
65 28 4.92725 3.40120 8.0768 3.27714
65 29 4.56747 3.40784 7.6166 3.18635
65 30 4.93087 3.27714 7.9944 3.33577
65 31 4.63667 3.35341 7.6889 3.34286
65 32 4.90379 3.27336 7.8510 3.19867
65 33 4.75014 3.36038 7.6429 3.26194
65 34 4.79082 3.39451 7.8176 3.27336
65 35 4.89185 3.39451 7.8296 3.33577
65 36 4.50092 3.26576 7.4783 3.43076
65 37 4.59208 3.34286 7.6265 3.26194
65 38 4.68306 3.36384 7.5707 3.19867
65 39 4.79165 3.38439 7.6868 3.30322
65 40 4.17439 3.39115 7.7330 3.18635
65 41 4.81137 3.38099 7.7836 3.20680
65 42 4.81462 3.22287 7.7262 3.18221
65 43 4.58802 3.40120 7.9246 3.37074
65 44 4.70502 3.33932 7.5257 3.19867
65 45 4.69501 3.39451 7.8064 3.26576
65 46 4.92435 3.26194 7.8112 3.31782
66 1 4.56851 3.44999 7.5576 3.38439
66 2 4.73532 3.38777 7.7487 3.23868
66 3 4.59411 3.41115 7.5411 3.26576
66 4 4.91852 3.23868 8.1008 3.38777
66 5 4.97328 3.40453 8.1587 3.40120
66 6 5.08327 3.43399 7.8978 3.33932
66 7 5.69002 3.18221 8.0758 3.20680
66 8 4.87748 3.40120 7.7959 3.42100
66 9 4.65205 3.42100 7.6933 3.26576
66 10 4.54860 3.39451 7.7467 3.27714
66 11 4.97120 3.40120 8.0800 3.20680
66 12 4.88356 3.36038 7.9019 3.20680
66 13 4.68398 3.45316 7.9093 3.26576
66 14 4.62203 3.41773 7.8785 3.26576
66 15 4.89784 3.20680 7.6445 3.20680
66 16 4.78499 3.40120 7.6276 3.41115
66 17 4.90602 3.38777 7.7650 3.25424
66 18 4.79579 3.33932 7.9306 3.18221
66 19 4.87977 3.43399 8.0010 3.25424
66 20 4.90156 3.37417 7.9536 3.26957
66 21 4.70682 3.41115 7.8350 3.40784
66 22 4.46476 3.45947 7.3881 3.38439
66 23 4.93663 3.26576 7.8724 3.20680
66 24 4.74406 3.43076 7.8023 3.27714
66 25 4.66438 3.38777 7.8589 3.26576
66 26 5.21494 3.39786 8.0584 3.23868
66 27 5.66157 3.25424 7.9534 3.38777
66 28 4.97604 3.40453 8.1422 3.39451
66 29 4.56954 3.41444 7.6761 3.38777
66 30 4.80729 3.54385 8.0524 3.39451
66 31 4.60016 3.40784 7.7047 3.41115
66 32 4.90897 3.26957 7.9228 3.20680
66 33 4.75273 3.41444 7.6968 3.26576
66 34 4.81137 3.39451 7.8844 3.26957
66 35 4.94307 3.40120 7.9042 3.40453
66 36 4.53689 3.26576 7.5740 3.42100
66 37 4.59310 3.41773 7.7147 3.27714
66 38 4.69957 3.38439 7.6534 3.20680
66 39 4.66438 3.52046 7.7543 3.40120
66 40 4.18510 3.42751 7.7688 3.27714
66 41 4.87061 3.48124 7.8764 3.25424
66 42 4.78916 3.20680 7.7853 3.18221
66 43 4.46476 3.54674 8.0074 3.39451
66 44 4.71133 3.34639 7.5819 3.20680
66 45 4.66627 3.46886 7.8759 3.40120
66 46 4.89260 3.27714 7.8606 3.38777
67 1 4.55913 3.45316 7.6126 3.38777
67 2 4.76303 3.37417 7.8025 3.25810
67 3 4.63376 3.41444 7.6031 3.31419
67 4 4.91118 3.25810 8.1497 3.37417
67 5 4.98086 3.43721 8.2330 3.43399
67 6 5.06386 3.42426 7.9600 3.38099
67 7 5.52066 3.28091 8.1546 3.26957
67 8 4.88884 3.40784 7.8629 3.44999
67 9 4.67002 3.44999 7.7691 3.30689
67 10 4.58802 3.40453 7.8018 3.31054
67 11 4.95442 3.40453 8.1291 3.21888
67 12 4.90379 3.37074 7.9317 3.21888
67 13 4.73356 3.46574 7.9175 3.31419
67 14 4.61710 3.43399 7.9260 3.31419
67 15 4.93663 3.21888 7.7129 3.26957
67 16 4.78749 3.44999 7.7126 3.41444
67 17 4.91265 3.41115 7.8027 3.27714
67 18 4.80156 3.38099 7.9955 3.26957
67 19 4.86907 3.51453 8.0671 3.27714
67 20 4.90082 3.40120 7.9747 3.29584
67 21 4.73970 3.43076 7.8895 3.41773
67 22 4.47847 3.45316 7.4731 3.38777
67 23 4.92943 3.31419 7.9277 3.21888
67 24 4.77068 3.44362 7.8299 3.31054
67 25 4.70048 3.44681 7.8900 3.31054
67 26 5.16935 3.40784 8.1115 3.25810
67 27 5.69676 3.27714 8.0150 3.41115
67 28 4.87596 3.53223 8.1979 3.40453
67 29 4.55913 3.44999 7.7207 3.37417
67 30 4.81381 3.54674 8.1050 3.40453
67 31 4.56747 3.41773 7.7396 3.43076
67 32 4.91559 3.29584 7.9590 3.21888
67 33 4.76984 3.42426 7.7675 3.31419
67 34 4.83231 3.40453 7.9507 3.29584
67 35 4.97328 3.43399 7.9743 3.43721
67 36 4.55493 3.30689 7.6433 3.44999
67 37 4.60116 3.44362 7.7454 3.31054
67 38 4.71402 3.38777 7.7140 3.21888
67 39 4.69135 3.53806 7.8361 3.41444
67 40 4.16356 3.44999 7.8055 3.31054
67 41 4.84733 3.45947 7.9325 3.27714
67 42 4.79496 3.26957 7.8557 3.21888
67 43 4.60217 3.55535 8.0530 3.40453
67 44 4.73268 3.38439 7.6487 3.21888
67 45 4.68491 3.49043 7.9107 3.40453
67 46 4.92290 3.31054 7.9287 3.40453
68 1 4.48187 3.57235 7.6973 3.46574
68 2 4.75014 3.44362 7.9085 3.47507
68 3 4.64439 3.43076 7.6701 3.37417
68 4 4.82270 3.56671 8.2135 3.44362
68 5 4.96424 3.44362 8.2680 3.46886
68 6 5.10473 3.46574 8.0266 3.43076
68 7 5.41298 3.28466 8.2302 3.29953
68 8 4.86214 3.46574 7.9591 3.50556
68 9 4.65396 3.50556 7.8362 3.38439
68 10 4.59613 3.46574 7.8475 3.47507
68 11 4.88734 3.57235 8.1837 3.26957
68 12 4.90008 3.39451 7.9966 3.26957
68 13 4.69318 3.59182 7.9788 3.37417
68 14 4.60617 3.47816 7.9881 3.37417
68 15 4.96145 3.26957 7.7854 3.29953
68 16 4.76473 3.48124 7.7888 3.43076
68 17 4.90971 3.46574 7.8683 3.39786
68 18 4.80156 3.43076 8.0522 3.28466
68 19 4.85203 3.55820 8.1320 3.39786
68 20 4.89933 3.46574 8.0475 3.39451
68 21 4.73356 3.48738 7.9644 3.47507
68 22 4.48864 3.52342 7.5599 3.43076
68 23 4.92217 3.37417 8.0126 3.26957
68 24 4.75445 3.47816 7.8785 3.46574
68 25 4.69592 3.50255 7.9380 3.37417
68 26 5.24544 3.49043 8.1996 3.44362
68 27 5.57595 3.39786 8.0893 3.46574
68 28 4.86907 3.54096 8.2710 3.46574
68 29 4.60417 3.51750 7.7972 3.44042
68 30 4.82751 3.54096 8.1840 3.44362
68 31 4.57471 3.47507 7.7958 3.47816
68 32 4.86599 3.42751 8.0337 3.26957
68 33 4.72739 3.44042 7.8433 3.37417
68 34 4.76303 3.59457 8.0176 3.42751
68 35 4.96215 3.46886 8.0318 3.44362
68 36 4.56122 3.38439 7.7272 3.50556
68 37 4.60916 3.48738 7.8080 3.47507
68 38 4.69318 3.48431 7.8032 3.26957
68 39 4.68583 3.55249 7.9090 3.43076
68 40 4.16356 3.47507 7.8530 3.44362
68 41 4.85826 3.52342 8.0032 3.39786
68 42 4.81056 3.29953 7.9354 3.26957
68 43 4.62006 3.61362 8.1207 3.46574
68 44 4.78582 3.44362 7.6973 3.26957
68 45 4.71313 3.51453 7.9861 3.48738
68 46 4.91632 3.48124 7.9799 3.46574
69 1 4.50092 3.60005 7.7737 3.49043
69 2 4.73444 3.58629 7.9995 3.50556
69 3 4.63376 3.43076 7.7347 3.39786
69 4 4.81947 3.60005 8.2737 3.50556
69 5 4.97466 3.47197 8.3274 3.55535
69 6 5.16764 3.47197 8.0978 3.42426
69 7 5.35753 3.30322 8.2705 3.34286
69 8 4.79744 3.72086 8.0492 3.53223
69 9 4.68767 3.53223 7.9121 3.36730
69 10 4.61115 3.46261 7.9423 3.48431
69 11 4.87061 3.56105 8.2416 3.29584
69 12 4.88960 3.39115 8.0692 3.29584
69 13 4.68120 3.58352 8.0600 3.39786
69 14 4.63084 3.48431 8.0594 3.39786
69 15 4.98566 3.29584 7.8586 3.34286
69 16 4.75273 3.50556 7.8288 3.43076
69 17 4.90676 3.50856 7.9470 3.39786
69 18 4.80648 3.42426 8.1270 3.30322
69 19 4.86522 3.55535 8.1961 3.39786
69 20 4.89335 3.46261 8.1028 3.39115
69 21 4.72117 3.49043 8.0299 3.47507
69 22 4.51086 3.54962 7.6349 3.43076
69 23 4.92144 3.39786 8.0483 3.29584
69 24 4.76559 3.48431 7.9338 3.46261
69 25 4.68583 3.49347 8.0414 3.39786
69 26 5.29129 3.50556 8.2682 3.46261
69 27 5.51544 3.39786 8.1588 3.50856
69 28 4.79744 3.65325 8.3284 3.47197
69 29 4.46591 3.63495 7.8491 3.50556
69 30 4.80729 3.65325 8.2403 3.47197
69 31 4.57368 3.47507 7.8906 3.47816
69 32 4.85826 3.44999 8.1004 3.29584
69 33 4.68859 3.60821 7.9016 3.39786
69 34 4.74232 3.59731 8.0880 3.42426
69 35 4.76899 3.64806 8.0913 3.47197
69 36 4.64631 3.36730 7.8105 3.53223
69 37 4.62986 3.47816 7.8670 3.47507
69 38 4.67563 3.49043 7.8733 3.29584
69 39 4.71223 3.53806 7.9823 3.43076
69 40 4.18358 3.50556 7.9035 3.46261
69 41 4.90231 3.53223 8.0589 3.39786
69 42 4.81947 3.34286 8.0144 3.29584
69 43 4.60717 3.62700 8.1689 3.46261
69 44 4.71939 3.46886 7.7660 3.29584
69 45 4.71402 3.51453 8.0422 3.49043
69 46 4.91045 3.48431 8.0282 3.46261
70 1 4.49758 3.67883 7.8598 3.53515
70 2 4.74667 3.61362 8.0925 3.54385
70 3 4.60817 3.60278 7.8216 3.53515
70 4 4.81218 3.65842 8.3411 3.61362
70 5 4.78749 3.74242 8.4079 3.67122
70 6 5.04343 3.66356 8.1591 3.48431
70 7 5.30032 3.34990 8.3434 3.36038
70 8 4.81705 3.77276 8.1444 3.53515
70 9 4.69957 3.53515 7.9914 3.48124
70 10 4.62889 3.52046 8.0255 3.52636
70 11 4.82671 3.72328 8.2974 3.34286
70 12 4.90231 3.42100 8.1032 3.34286
70 13 4.68675 3.62966 8.1225 3.52342
70 14 4.73620 3.53223 8.1350 3.52342
70 15 5.04857 3.34286 7.9419 3.36038
70 16 4.75273 3.53515 7.9044 3.58906
70 17 4.85593 3.63759 8.0404 3.44681
70 18 4.81624 3.48431 8.2168 3.34990
70 19 4.82270 3.67883 8.2767 3.44681
70 20 4.85671 3.51750 8.1361 3.42100
70 21 4.64727 3.66612 8.1113 3.61899
70 22 4.53689 3.58906 7.7158 3.53515
70 23 4.79827 3.58352 8.1284 3.34286
70 24 4.71133 3.52636 8.0363 3.52046
70 25 4.68306 3.52342 8.1004 3.52930
70 26 5.24439 3.66099 8.3842 3.52046
70 27 5.58237 3.44681 8.2052 3.62966
70 28 4.79331 3.71357 8.4131 3.64806
70 29 4.49981 3.68135 7.9322 3.54385
70 30 4.77912 3.70623 8.3234 3.62966
70 31 4.54116 3.61899 7.9187 3.52636
70 32 4.80074 3.60005 8.1538 3.34286
70 33 4.68583 3.64806 7.9926 3.53223
70 34 4.67563 3.64806 8.1591 3.48431
70 35 4.81947 3.67122 8.1622 3.67883
70 36 4.64054 3.48124 7.8966 3.53515
70 37 4.52937 3.65066 7.9444 3.52342
70 38 4.60317 3.68638 7.9466 3.34286
70 39 4.66721 3.69883 8.0663 3.53515
70 40 4.18205 3.54385 7.9981 3.52046
70 41 4.80893 3.62966 8.1295 3.44681
70 42 4.82270 3.36038 8.0969 3.34286
70 43 4.57161 3.65584 8.2064 3.52046
70 44 4.74057 3.51750 7.8857 3.34286
70 45 4.66721 3.65066 8.1137 3.62966
70 46 4.88432 3.52930 8.0925 3.52046
71 1 4.55808 3.75420 7.9321 3.57795
71 2 4.69684 3.65066 8.1746 3.60005
71 3 4.64535 3.65842 7.9048 3.60550
71 4 4.79579 3.68135 8.3926 3.65066
71 5 4.76729 3.81771 8.4586 3.69387
71 6 5.08203 3.72086 8.2243 3.53223
71 7 5.36129 3.48431 8.4339 3.40784
71 8 4.81218 3.77963 8.2144 3.57795
71 9 4.75100 3.57795 8.0675 3.53515
71 10 4.68675 3.51453 8.0851 3.53806
71 11 4.83310 3.72328 8.3708 3.40453
71 12 4.93663 3.47197 8.1803 3.40453
71 13 4.68583 3.65066 8.1625 3.54674
71 14 4.63279 3.66099 8.2208 3.54674
71 15 5.09681 3.40453 8.0087 3.40784
71 16 4.78582 3.67122 7.9645 3.62434
71 17 4.89185 3.65842 8.0958 3.52930
71 18 4.84182 3.53223 8.2861 3.40784
71 19 4.79909 3.71357 8.3427 3.52930
71 20 4.83708 3.66868 8.2190 3.47197
71 21 4.75703 3.69138 8.1675 3.65066
71 22 4.65776 3.62434 7.8005 3.65842
71 23 4.84890 3.60550 8.1955 3.40453
71 24 4.75014 3.54674 8.0786 3.51453
71 25 4.68767 3.54674 8.1720 3.53806
71 26 5.24965 3.78419 8.4332 3.51453
71 27 5.62762 3.52930 8.2638 3.65842
71 28 4.82911 3.73050 8.4828 3.72086
71 29 4.52829 3.73050 8.0151 3.60005
71 30 4.81462 3.73050 8.3882 3.67630
71 31 4.59006 3.66099 8.0608 3.54674
71 32 4.82511 3.64021 8.2160 3.40453
71 33 4.74840 3.68387 8.0490 3.60550
71 34 4.66627 3.79997 8.2166 3.53223
71 35 4.81381 3.69387 8.2050 3.71357
71 36 4.74493 3.53515 7.9599 3.57795
71 37 4.57161 3.65066 8.0339 3.53806
71 38 4.66627 3.72810 8.0255 3.40453
71 39 4.69043 3.73767 8.1170 3.65842
71 40 4.21509 3.60005 8.0687 3.51453
71 41 4.82350 3.67630 8.2076 3.52930
71 42 4.85515 3.40784 8.1783 3.40453
71 43 4.57471 3.69635 8.2505 3.51453
71 44 4.71402 3.72810 7.9617 3.40453
71 45 4.65776 3.69387 8.1839 3.65066
71 46 4.88053 3.53806 8.1647 3.51453
72 1 4.61611 3.74479 8.0179 3.62167
72 2 4.82831 3.63759 8.2429 3.61631
72 3 4.64343 3.78646 7.9897 3.62167
72 4 4.81624 3.68638 8.4448 3.63759
72 5 4.70773 3.93769 8.5069 3.72810
72 6 5.05178 3.79997 8.2980 3.53515
72 7 5.39635 3.51750 8.5100 3.39786
72 8 4.83628 3.84588 8.2886 3.71113
72 9 4.76217 3.71113 8.1511 3.52930
72 10 4.83708 3.51750 8.1930 3.53806
72 11 4.84103 3.73529 8.4253 3.42100
72 12 5.00529 3.48124 8.2460 3.42100
72 13 4.69501 3.73529 8.2669 3.62966
72 14 4.70953 3.65842 8.3249 3.62966
72 15 5.18962 3.42100 8.0831 3.39786
72 16 4.83071 3.68888 8.0311 3.62167
72 17 4.91632 3.72569 8.1626 3.58629
72 18 4.89185 3.53515 8.3459 3.39786
72 19 4.76984 3.82864 8.3990 3.58629
72 20 4.87825 3.68888 8.2961 3.48124
72 21 4.57265 3.81110 8.2314 3.66099
72 22 4.71939 3.62167 7.8940 3.68888
72 23 4.86753 3.62966 8.2553 3.42100
72 24 4.80566 3.69138 8.2124 3.51750
72 25 4.65301 3.71601 8.2737 3.53806
72 26 5.29129 3.70377 8.4735 3.51750
72 27 5.69103 3.58629 8.3222 3.68888
72 28 4.85515 3.74005 8.5359 3.75420
72 29 4.59815 3.71601 8.0975 3.61631
72 30 4.78666 3.75420 8.4338 3.68888
72 31 4.64247 3.66099 8.2359 3.66612
72 32 4.82350 3.64806 8.2760 3.42100
72 33 4.80156 3.68387 8.1064 3.62966
72 34 4.69135 3.79997 8.2762 3.53515
72 35 4.90082 3.72810 8.2704 3.82864
72 36 4.77660 3.52930 8.0352 3.71113
72 37 4.63473 3.66612 8.1708 3.53806
72 38 4.71402 3.72810 8.1169 3.39786
72 39 4.68767 3.84802 8.1804 3.68387
72 40 4.26690 3.61631 8.1461 3.51750
72 41 4.92725 3.68888 8.2372 3.58629
72 42 4.91998 3.39786 8.2534 3.42100
72 43 4.48300 3.83081 8.3120 3.51750
72 44 4.76644 3.72086 8.0452 3.39786
72 45 4.68951 3.69635 8.2465 3.73529
72 46 4.94164 3.53806 8.2879 3.51750
73 1 4.63376 3.74005 8.1279 3.61899
73 2 4.85437 3.65584 8.3476 3.59731
73 3 4.68213 3.80888 8.1345 3.61899
73 4 4.82350 3.68638 8.5377 3.65584
73 5 4.69410 3.92395 8.6119 3.70377
73 6 5.04149 3.78419 8.3980 3.56388
73 7 5.34425 3.54096 8.5775 3.40453
73 8 4.88734 3.85862 8.4083 3.74005
73 9 4.78582 3.74715 8.2651 3.51155
73 10 4.80238 3.59182 8.3347 3.53806
73 11 4.82350 3.71357 8.5484 3.42100
73 12 5.04986 3.49347 8.3955 3.42100
73 13 4.70592 3.73529 8.4825 3.62966
73 14 4.74667 3.67122 8.4744 3.62966
73 15 5.30777 3.42100 8.2036 3.40453
73 16 4.84182 3.68638 8.1345 3.61899
73 17 4.92725 3.71357 8.2611 3.60821
73 18 4.92217 3.56388 8.4521 3.40453
73 19 4.79744 3.82864 8.4891 3.60821
73 20 4.89560 3.69387 8.4109 3.49347
73 21 4.67096 3.81991 8.4151 3.67377
73 22 4.74493 3.61899 8.0205 3.68638
73 23 4.88356 3.62966 8.3783 3.42100
73 24 4.78666 3.71113 8.3621 3.53806
73 25 4.66908 3.71844 8.4530 3.53806
73 26 5.30579 3.69635 8.5673 3.59182
73 27 5.63121 3.60821 8.4338 3.68387
73 28 4.78916 3.88978 8.6293 3.78419
73 29 4.59411 3.73290 8.1902 3.59731
73 30 4.77660 3.82428 8.5128 3.68387
73 31 4.68859 3.67377 8.6395 3.67883
73 32 4.79165 3.73767 8.3850 3.42100
73 33 4.82109 3.69883 8.2478 3.62966
73 34 4.70682 3.80444 8.3800 3.56388
73 35 4.95583 3.70377 8.3458 3.82864
73 36 4.83231 3.51155 8.1530 3.74715
73 37 4.63957 3.67883 8.4266 3.53806
73 38 4.69775 3.70868 8.2304 3.40453
73 39 4.70411 3.83730 8.3015 3.68638
73 40 4.28634 3.59731 8.2316 3.53806
73 41 4.98907 3.68387 8.3351 3.60821
73 42 4.96354 3.40453 8.3642 3.42100
73 43 4.51086 3.82647 8.4324 3.59182
73 44 4.75875 3.68638 8.1389 3.40453
73 45 4.69592 3.75185 8.3593 3.71357
73 46 4.95018 3.53806 8.4130 3.59182
74 1 4.68398 3.76352 8.2212 3.72328
74 2 4.89110 3.66868 8.4136 3.63231
74 3 4.69775 3.81771 8.2448 3.63759
74 4 4.84182 3.73529 8.6318 3.66868
74 5 4.72206 3.96081 8.6910 3.72086
74 6 5.01926 3.78872 8.4671 3.57795
74 7 5.20785 3.58352 8.6817 3.44362
74 8 4.91265 3.87328 8.4792 3.74715
74 9 4.81786 3.74715 8.3402 3.56105
74 10 4.83310 3.63759 8.4433 3.57795
74 11 4.88204 3.73529 8.6311 3.44999
74 12 5.07267 3.54096 8.4364 3.44999
74 13 4.75445 3.76584 8.4751 3.63759
74 14 4.77576 3.69387 8.5361 3.63759
74 15 5.35847 3.44999 8.3070 3.44362
74 16 4.86676 3.72810 8.2574 3.72328
74 17 4.95653 3.73290 8.3510 3.63495
74 18 4.97535 3.57795 8.5318 3.44362
74 19 4.82270 3.83514 8.5703 3.63495
74 20 4.93303 3.71601 8.4789 3.54096
74 21 4.70592 3.85015 8.4435 3.68638
74 22 4.76303 3.72328 8.1026 3.72810
74 23 4.90823 3.63759 8.4360 3.44999
74 24 4.80320 3.73290 8.4226 3.57795
74 25 4.70502 3.73767 8.4508 3.57795
74 26 5.32155 3.73529 8.6171 3.63231
74 27 5.59768 3.63495 8.5094 3.72086
74 28 4.79909 3.91602 8.7060 3.78872
74 29 4.60817 3.77735 8.2759 3.63231
74 30 4.80074 3.85862 8.5918 3.72086
74 31 4.70502 3.68638 8.5547 3.69883
74 32 4.80484 3.75887 8.4711 3.44999
74 33 4.87137 3.71357 8.3334 3.63759
74 34 4.73795 3.84160 8.4717 3.57795
74 35 4.98429 3.72086 8.4335 3.83514
74 36 4.86522 3.56105 8.2490 3.74715
74 37 4.68583 3.69883 8.3904 3.57795
74 38 4.74319 3.74950 8.3160 3.44362
74 39 4.74232 3.86073 8.3955 3.71357
74 40 4.32546 3.63231 8.3175 3.57795
74 41 5.02256 3.72086 8.4086 3.63495
74 42 5.00797 3.44362 8.4505 3.44999
74 43 4.59107 3.84802 8.5329 3.63759
74 44 4.78666 3.73767 8.2468 3.44362
74 45 4.71671 3.78191 8.4414 3.73529
74 46 4.98224 3.57795 8.5133 3.63231
75 1 4.71582 3.84160 8.3158 3.76120
75 2 4.80238 3.86493 8.4643 3.70130
75 3 4.74319 3.88362 8.3084 3.76120
75 4 4.84497 3.80666 8.7224 3.79549
75 5 4.70230 3.99820 8.7652 3.79098
75 6 4.99451 3.82647 8.5394 3.67630
75 7 5.17332 3.67377 8.7930 3.51453
75 8 4.88204 3.94546 8.5428 3.79549
75 9 4.81137 3.79549 8.4104 3.64021
75 10 4.81462 3.69635 8.4772 3.65325
75 11 4.88129 3.81110 8.7194 3.50556
75 12 5.09006 3.60278 8.5221 3.50556
75 13 4.79165 3.81551 8.5735 3.75654
75 14 4.81543 3.75420 8.6123 3.77276
75 15 5.40717 3.50556 8.3850 3.51453
75 16 4.89485 3.79098 8.3552 3.76120
75 17 4.94663 3.84374 8.4103 3.70868
75 18 4.98429 3.67630 8.6203 3.51453
75 19 4.83708 3.89995 8.6519 3.70868
75 20 4.91852 3.79324 8.5451 3.60278
75 21 4.71402 3.89995 8.5098 3.75185
75 22 4.76046 3.76120 8.1691 3.79098
75 23 4.90971 3.77276 8.5254 3.50556
75 24 4.81786 3.77735 8.4946 3.65325
75 25 4.73708 3.79773 8.5848 3.65325
75 26 5.32399 3.79549 8.7166 3.69635
75 27 5.59508 3.70868 8.5787 3.73290
75 28 4.80648 3.96651 8.7901 3.82647
75 29 4.63570 3.83514 8.3968 3.70130
75 30 4.81947 3.94158 8.6705 3.73290
75 31 4.76984 3.75185 8.5586 3.75654
75 32 4.80811 3.82864 8.5392 3.50556
75 33 4.88960 3.77506 8.4375 3.75420
75 34 4.74145 3.90801 8.5617 3.67630
75 35 5.04149 3.79098 8.5303 3.89995
75 36 4.87137 3.64021 8.3225 3.79549
75 37 4.73180 3.75654 8.4364 3.65325
75 38 4.76559 3.81331 8.3887 3.50556
75 39 4.75359 3.92395 8.5081 3.77506
75 40 4.32810 3.70130 8.4092 3.65325
75 41 5.04665 3.73290 8.4798 3.70868
75 42 5.02848 3.51453 8.5476 3.50556
75 43 4.60016 3.89182 8.6361 3.69635
75 44 4.81381 3.81110 8.3549 3.50556
75 45 4.73180 3.84160 8.5250 3.81110
75 46 5.07954 3.65325 8.6044 3.69635
76 1 4.75531 3.91999 8.4089 3.83730
76 2 4.80648 3.89386 8.5485 3.77046
76 3 4.77996 3.92986 8.3808 3.79997
76 4 4.85203 3.87743 8.7995 3.80444
76 5 4.73092 4.05352 8.8303 3.95508
76 6 5.03044 3.91402 8.6016 3.83081
76 7 5.12218 3.86703 8.8542 3.63495
76 8 4.86984 4.02356 8.6009 3.86912
76 9 4.83549 3.86912 8.4913 3.71357
76 10 4.82911 3.74950 8.5490 3.75185
76 11 4.90082 3.87950 8.7832 3.58352
76 12 5.11560 3.65584 8.6164 3.58352
76 13 4.82350 3.86703 8.6647 3.79997
76 14 4.84968 3.84160 8.6283 3.79997
76 15 5.44198 3.58352 8.4770 3.63495
76 16 4.93878 3.87328 8.4542 3.83730
76 17 4.97604 3.91002 8.5229 3.78191
76 18 4.92071 3.83081 8.7044 3.63495
76 19 4.76132 4.05004 8.7185 3.78191
76 20 4.92725 3.86912 8.6458 3.65584
76 21 4.75961 3.95316 8.5778 3.80666
76 22 4.79496 3.83730 8.2631 3.87328
76 23 4.93806 3.79997 8.6022 3.58352
76 24 4.82751 3.81331 8.5470 3.74950
76 25 4.77153 3.84588 8.6032 3.75185
76 26 5.30529 3.80444 8.7906 3.74950
76 27 5.67160 3.78191 8.6709 3.85227
76 28 4.80729 3.98155 8.8589 3.91402
76 29 4.62889 3.90197 8.4862 3.77046
76 30 4.82511 3.99268 8.7313 3.85227
76 31 4.83151 3.82647 8.5148 3.80666
76 32 4.82511 3.88156 8.6308 3.58352
76 33 4.93159 3.83730 8.5267 3.79997
76 34 4.77744 3.95700 8.6447 3.83081
76 35 5.01197 3.95508 8.6091 4.05004
76 36 4.91852 3.71357 8.4049 3.86912
76 37 4.75961 3.80666 8.4154 3.75185
76 38 4.80156 3.87743 8.4774 3.58352
76 39 4.79909 3.97594 8.6029 3.83730
76 40 4.35543 3.77046 8.4906 3.74950
76 41 5.14225 3.85227 8.5762 3.78191
76 42 5.06323 3.63495 8.6252 3.58352
76 43 4.60817 3.97029 8.7268 3.74950
76 44 4.86522 3.87950 8.4439 3.58352
76 45 4.74840 3.93769 8.6102 3.86703
76 46 5.08451 3.75185 8.6971 3.74950
77 1 4.76303 3.91402 8.4970 3.88773
77 2 4.80156 3.88568 8.6248 3.79997
77 3 4.80893 3.96272 8.4888 3.82647
77 4 4.83945 3.89182 8.8866 3.88568
77 5 4.76473 4.06732 8.9233 3.95700
77 6 5.03240 3.94546 8.6742 3.89589
77 7 4.91779 3.94932 8.9581 3.64806
77 8 4.89110 4.02356 8.6937 3.90197
77 9 4.85125 3.90197 8.5716 3.74242
77 10 4.82831 3.81991 8.6225 3.77046
77 11 4.89784 3.89995 8.8691 3.60821
77 12 5.15329 3.70377 8.7016 3.60821
77 13 4.83231 3.89995 8.7075 3.82647
77 14 4.85125 3.87328 8.7652 3.82647
77 15 5.43547 3.60821 8.5627 3.64806
77 16 4.94164 3.88978 8.5490 3.88773
77 17 4.98086 3.92986 8.6016 3.80666
77 18 4.91045 3.89589 8.7695 3.64806
77 19 4.77828 4.04830 8.7966 3.80666
77 20 4.94378 3.87743 8.7524 3.70377
77 21 4.76388 3.97218 8.7037 3.83730
77 22 4.80484 3.88773 8.3764 3.88978
77 23 4.94734 3.82647 8.7054 3.60821
77 24 4.84419 3.86283 8.6071 3.77046
77 25 4.76814 3.87328 8.6680 3.77046
77 26 5.25123 3.89792 8.8914 3.79997
77 27 5.63049 3.80666 8.7582 3.85015
77 28 4.81056 4.04130 8.9294 3.94546
77 29 4.62889 3.94352 8.5691 3.79997
77 30 4.83231 3.98527 8.8016 3.85015
77 31 4.80566 3.85862 8.5506 3.83730
77 32 4.84655 3.90801 8.7242 3.60821
77 33 4.94450 3.86912 8.6218 3.82647
77 34 4.78832 3.97594 8.7255 3.88978
77 35 5.00260 3.95700 8.6975 4.04830
77 36 4.92144 3.74242 8.4865 3.90197
77 37 4.75014 3.83730 8.5653 3.77046
77 38 4.82511 3.90399 8.5607 3.60821
77 39 4.82189 3.97594 8.6945 3.86912
77 40 4.35671 3.79997 8.5776 3.77046
77 41 5.13226 3.85015 8.6360 3.80666
77 42 5.06069 3.64806 8.7149 3.60821
77 43 4.59815 3.98341 8.8061 3.81991
77 44 4.89709 3.88978 8.5319 3.60821
77 45 4.76388 3.95316 8.7100 3.89995
77 46 5.07767 3.77046 8.8010 3.79997
78 1 4.81218 4.00915 8.6036 3.98155
78 2 4.82591 3.98155 8.7457 3.90197
78 3 4.84655 4.03424 8.6066 3.91002
78 4 4.83708 4.07244 8.9899 3.98155
78 5 4.76644 4.12228 9.0252 4.03069
78 6 5.04665 4.07244 8.7653 3.95316
78 7 4.86984 4.09101 9.0324 3.75654
78 8 4.89335 4.19419 8.8065 4.00186
78 9 4.87214 4.00186 8.6816 3.89589
78 10 4.81056 3.94158 8.7352 3.90197
78 11 4.91779 4.00003 8.9634 3.72328
78 12 5.01662 3.91202 8.8044 3.72328
78 13 4.84497 4.00003 8.8560 3.91002
78 14 4.84497 3.96272 8.8787 3.91002
78 15 5.41477 3.72328 8.6576 3.75654
78 16 4.96074 3.99268 8.6633 3.98155
78 17 4.96912 4.00733 8.6797 3.90600
78 18 4.89859 3.95316 8.8797 3.75654
78 19 4.79165 4.12390 8.8921 3.90600
78 20 4.95442 3.98898 8.8600 3.91202
78 21 4.77828 4.05872 8.8052 3.97406
78 22 4.82751 3.98155 8.4707 3.99268
78 23 4.95442 3.91002 8.8017 3.72328
78 24 4.84576 3.94932 8.7554 3.90801
78 25 4.76559 3.98155 8.7917 3.90801
78 26 5.23111 3.99452 9.0127 3.90197
78 27 5.59694 3.90600 8.8596 3.96081
78 28 4.81947 4.12552 9.0272 4.05004
78 29 4.63570 4.02535 8.6862 3.90197
78 30 4.83945 4.08598 8.9008 3.96081
78 31 4.80320 3.97406 8.7437 3.94932
78 32 4.87748 3.98713 8.8254 3.72328
78 33 4.96703 3.97218 8.7400 3.91002
78 34 4.80648 4.05004 8.8161 3.95316
78 35 4.98907 4.03069 8.7866 4.12228
78 36 4.94450 3.89589 8.5806 4.00186
78 37 4.76132 3.97406 8.6904 3.90801
78 38 4.84655 4.00369 8.6657 3.72328
78 39 4.84103 4.07923 8.8157 3.97218
78 40 4.37701 3.90197 8.6826 3.90801
78 41 5.09006 3.96081 8.7544 3.90600
78 42 5.04921 3.75654 8.8075 3.72328
78 43 4.61809 4.07073 8.9256 3.94158
78 44 4.87977 3.98713 8.6172 3.72328
78 45 4.75961 4.04480 8.8142 4.00003
78 46 5.07705 3.90801 8.9372 3.90197
79 1 4.79909 4.03954 8.6923 4.03424
79 2 4.82511 4.07073 8.8678 3.98341
79 3 4.84024 4.06732 8.7021 3.95508
79 4 4.80320 4.09601 9.1002 4.04480
79 5 4.76559 4.16511 9.1373 4.07244
79 6 5.01197 4.09434 8.8561 4.02892
79 7 4.85593 4.08261 9.1384 3.82428
79 8 4.90823 4.19720 8.9127 4.03601
79 9 4.87520 4.03601 8.7676 3.91602
79 10 4.76644 4.01458 8.8058 3.94546
79 11 4.90749 4.03954 9.0644 3.77046
79 12 5.00327 3.96081 8.9036 3.77046
79 13 4.82189 4.03247 8.9382 3.95508
79 14 4.83945 4.00369 9.0190 3.95508
79 15 5.37017 3.77046 8.7656 3.82428
79 16 4.94236 4.04480 8.7666 4.03424
79 17 4.93087 3.99820 8.7711 3.97406
79 18 4.88204 4.02892 8.9769 3.82428
79 19 4.77238 4.16667 8.9907 3.97406
79 20 4.94805 4.04655 8.9532 3.96081
79 21 4.77322 4.10923 8.9063 3.99083
79 22 4.81947 4.03424 8.5674 4.03954
79 23 4.94307 3.95508 8.9090 3.77046
79 24 4.78999 3.98341 8.8199 3.94546
79 25 4.75445 4.01458 8.9159 3.94546
79 26 5.21112 4.04480 9.1068 3.98341
79 27 5.53969 3.97406 8.9700 3.99820
79 28 4.81867 4.15104 9.1182 4.09434
79 29 4.61512 4.05352 8.7881 3.98341
79 30 4.82350 4.11251 8.9938 4.00369
79 31 4.79827 4.00733 8.8215 3.98341
79 32 4.87443 4.03069 8.9230 3.77046
79 33 4.95301 4.01638 8.8697 3.95508
79 34 4.80893 4.10429 8.9204 4.02892
79 35 4.98224 4.07244 8.8834 4.16511
79 36 4.91045 3.91602 8.6691 4.03601
79 37 4.76559 3.99083 8.8056 3.94546
79 38 4.84576 4.04830 8.7640 3.77046
79 39 4.83945 4.13035 8.9261 4.01638
79 40 4.37071 3.98341 8.7681 3.94546
79 41 5.08078 4.00369 8.8422 3.97406
79 42 5.02256 3.82428 8.9087 3.77046
79 43 4.61907 4.12066 9.0254 4.01458
79 44 4.80484 4.13357 8.7128 3.77046
79 45 4.76303 4.07244 8.9389 4.03247
79 46 5.12753 3.94546 9.0458 3.98341
80 1 4.81381 4.10429 8.7744 4.08261
80 2 4.84261 4.10759 8.9649 4.04655
80 3 4.88129 4.11904 8.7450 4.04830
80 4 4.78916 4.12875 9.1995 4.10759
80 5 4.77068 4.20469 9.2481 4.09434
80 6 5.01396 4.13836 8.9584 4.06217
80 7 4.86522 4.18358 9.2691 3.88156
80 8 4.93447 4.24563 9.0152 4.08261
80 9 4.89784 4.08261 8.8557 3.95700
80 10 4.74667 4.03247 8.9023 4.01277
80 11 4.90676 4.09434 9.1247 3.83514
80 12 4.98975 3.98341 8.9567 3.83514
80 13 4.82511 4.07414 8.9819 4.04830
80 14 4.84497 4.06560 9.0318 4.04830
80 15 5.37203 3.83514 8.8211 3.88156
80 16 4.96842 4.09434 8.8935 4.08933
80 17 4.95018 4.07754 8.8675 4.01277
80 18 4.87901 4.06217 9.0925 3.88156
80 19 4.79165 4.22244 9.0983 4.01277
80 20 4.94663 4.09933 9.0276 3.98341
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80 23 4.95653 4.04830 8.9692 3.83514
80 24 4.80402 4.03777 8.9181 4.01277
80 25 4.75617 4.08598 8.9412 4.01277
80 26 5.18010 4.14472 9.1989 4.03247
80 27 5.51262 4.01277 9.0735 4.07584
80 28 4.82270 4.19570 9.2221 4.11578
80 29 4.63181 4.13677 8.8774 4.04655
80 30 4.84890 4.16511 9.0971 4.07584
80 31 4.81786 4.08766 8.8388 4.03777
80 32 4.89410 4.07244 9.0034 3.83514
80 33 4.95301 4.14155 8.9733 4.04830
80 34 4.82028 4.11578 9.0157 4.06217
80 35 5.00596 4.09434 8.9914 4.20469
80 36 4.92943 3.95700 8.7556 4.08261
80 37 4.74232 4.07414 8.8237 4.01277
80 38 4.87061 4.09933 8.8348 3.83514
80 39 4.86522 4.15418 9.0317 4.09434
80 40 4.31482 4.04655 8.8510 4.01277
80 41 5.08512 4.07584 8.9252 4.01277
80 42 5.00327 3.88156 9.0156 3.83514
80 43 4.61907 4.15575 9.1167 4.03247
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81 2 4.73444 4.14789 9.0650 4.13836
81 3 4.85748 4.16976 8.8680 4.09268
81 4 4.77576 4.19570 9.2889 4.14789
81 5 4.75703 4.38328 9.3475 4.16667
81 6 5.02782 4.18965 9.0470 4.13996
81 7 4.88204 4.23411 9.3599 3.94739
81 8 4.88884 4.28772 9.1196 4.13677
81 9 4.88053 4.13677 8.9548 4.00186
81 10 4.73708 4.08092 8.9931 4.02356
81 11 4.89035 4.14472 9.2237 3.89995
81 12 5.00058 4.06560 9.0369 3.89995
81 13 4.88960 4.11741 9.0996 4.09268
81 14 4.88280 4.09101 9.1550 4.09268
81 15 5.34568 3.89995 8.9235 3.94739
81 16 4.96981 4.13677 9.0075 4.14313
81 17 4.93375 4.14155 8.9683 4.06732
81 18 4.92071 4.13996 9.1826 3.94739
81 19 4.81381 4.25986 9.1939 4.06732
81 20 4.93806 4.12390 9.1054 4.06560
81 21 4.79414 4.18662 9.0933 4.11741
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81 23 4.94521 4.09268 9.0690 3.89995
81 24 4.79662 4.10099 9.0267 4.02356
81 25 4.76217 4.10923 9.0992 4.02356
81 26 5.14691 4.14789 9.2763 4.08092
81 27 5.50289 4.06732 9.1699 4.11087
81 28 4.85125 4.22975 9.3217 4.17131
81 29 4.63473 4.14313 8.9468 4.13836
81 30 4.86830 4.18814 9.2004 4.11087
81 31 4.83390 4.12713 9.0319 4.10099
81 32 4.88884 4.11741 9.0813 3.89995
81 33 4.96773 4.18662 9.0855 4.09101
81 34 4.82991 4.17131 9.1089 4.11741
81 35 5.01860 4.16667 9.0849 4.25986
81 36 4.91339 4.00186 8.8506 4.13677
81 37 4.75100 4.13196 8.9584 4.02356
81 38 4.86059 4.15418 8.9330 3.89995
81 39 4.85981 4.20320 9.1490 4.13677
81 40 4.35157 4.13836 8.9287 4.02356
81 41 5.09865 4.11087 9.0351 4.06732
81 42 5.00997 3.94739 9.1081 3.89995
81 43 4.72473 4.19870 9.2044 4.08092
81 44 4.79165 4.19268 8.8691 3.89995
81 45 4.78666 4.17285 9.0669 4.11741
81 46 5.09436 4.02356 9.2150 4.08092
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82 2 4.73180 4.29456 9.0915 4.22098
82 3 4.84733 4.27805 8.9079 4.16976
82 4 4.74840 4.28772 9.3380 4.27110
82 5 4.74232 4.44969 9.4239 4.27110
82 6 5.03760 4.30542 9.1284 4.18052
82 7 4.88280 4.31482 9.4065 4.03247
82 8 4.88129 4.36945 9.1638 4.21656
82 9 4.87672 4.21656 9.0310 4.12552
82 10 4.71402 4.21361 9.0044 4.16356
82 11 4.87290 4.24276 9.2675 4.03069
82 12 4.99518 4.17592 9.0609 4.03069
82 13 4.75531 4.28772 9.1180 4.16976
82 14 4.87443 4.17592 9.2123 4.16976
82 15 5.34996 4.03069 8.9858 4.03247
82 16 4.96912 4.25277 9.0676 4.23700
82 17 4.93806 4.24420 9.0291 4.20469
82 18 4.87748 4.18052 9.2521 4.03247
82 19 4.80648 4.35799 9.2892 4.20170
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82 21 4.78248 4.27249 9.1460 4.21656
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82 23 4.93950 4.16976 9.1197 4.03069
82 24 4.80729 4.18510 9.0802 4.16356
82 25 4.76303 4.24420 9.1157 4.16356
82 26 5.10655 4.27110 9.2977 4.21361
82 27 5.47981 4.20469 9.2500 4.20170
82 28 4.83866 4.33336 9.4035 4.24563
82 29 4.57985 4.23989 8.9930 4.22098
82 30 4.85593 4.28359 9.2645 4.20170
82 31 4.84261 4.21656 9.0846 4.18510
82 32 4.89784 4.22391 9.1334 4.03069
82 33 4.99043 4.27249 9.1460 4.16976
82 34 4.81462 4.24563 9.1712 4.18052
82 35 4.98566 4.27110 9.1545 4.35799
82 36 4.91265 4.12552 8.9148 4.21656
82 37 4.72739 4.21951 8.9887 4.16356
82 38 4.87825 4.22391 8.9931 4.03069
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82 42 4.99315 4.03247 9.1855 4.03069
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82 44 4.78582 4.31882 8.9402 4.03069
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82 46 5.06069 4.16356 9.2282 4.18510
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83 2 4.71043 4.38826 9.1673 4.37701
83 3 4.85203 4.40672 8.9730 4.31482
83 4 4.70773 4.44147 9.3949 4.38826
83 5 4.73708 4.56017 9.5094 4.42004
83 6 5.00797 4.40672 9.2184 4.31615
83 7 4.82431 4.45783 9.4897 4.23120
83 8 4.84890 4.50535 9.2450 4.36818
83 9 4.85671 4.36818 9.1061 4.28221
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83 14 4.84890 4.34381 9.2496 4.31482
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83 17 4.90823 4.39198 9.1008 4.31348
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83 24 4.73356 4.34640 9.1002 4.26268
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83 28 4.79827 4.52287 9.4867 4.40305
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83 34 4.83071 4.40305 9.2253 4.31615
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83 37 4.69866 4.36691 9.0453 4.26268
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84 8 4.82591 4.59815 9.3140 4.46361
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84 32 4.84497 4.49088 9.2814 4.32281
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84 34 4.74754 4.58190 9.2912 4.43319
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84 37 4.66060 4.49758 9.1413 4.40305
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85 2 4.67376 4.59310 9.3287 4.57985
85 3 4.83469 4.59006 9.1198 4.52721
85 4 4.63279 4.58497 9.5292 4.59310
85 5 4.70953 4.77576 9.6605 4.60817
85 6 4.97328 4.59208 9.3556 4.50092
85 7 4.80484 4.60916 9.6447 4.42604
85 8 4.82189 4.64631 9.3728 4.50756
85 9 4.85826 4.50756 9.2665 4.41884
85 10 4.61215 4.58088 9.1584 4.47050
85 11 4.80074 4.57161 9.4449 4.37324
85 12 4.90749 4.48639 9.2594 4.37324
85 13 4.69501 4.60016 9.2750 4.52504
85 14 4.75100 4.57985 9.3796 4.54010
85 15 5.20620 4.37324 9.1359 4.42604
85 16 4.82831 4.63473 9.1848 4.56851
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85 18 4.80320 4.50092 9.5100 4.42604
85 19 4.76388 4.68491 9.5368 4.49088
85 20 4.84103 4.61907 9.3725 4.48639
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85 22 4.74754 4.56851 8.9832 4.52721
85 23 4.86136 4.54010 9.3381 4.37324
85 24 4.64054 4.55913 9.1866 4.47050
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85 26 4.98839 4.69410 9.4495 4.58088
85 27 5.30380 4.49088 9.5170 4.55913
85 28 4.76132 4.65110 9.6370 4.59208
85 29 4.47734 4.57985 9.1716 4.55493
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85 31 4.63667 4.61115 9.2694 4.52504
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85 42 4.90231 4.42604 9.4130 4.37324
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86 4 4.60217 4.64823 9.5715 4.66908
86 5 4.68675 4.77491 9.7103 4.62301
86 6 4.95864 4.65586 9.3978 4.53582
86 7 4.76388 4.69410 9.6598 4.51415
86 8 4.82591 4.73444 9.4237 4.60617
86 9 4.85981 4.60617 9.3435 4.48526
86 10 4.57161 4.60417 9.1986 4.58292
86 11 4.77238 4.68583 9.4966 4.44735
86 12 4.92435 4.53903 9.3183 4.44735
86 13 4.64535 4.65205 9.3197 4.62399
86 14 4.69501 4.63473 9.4349 4.62399
86 15 5.19185 4.44735 9.1822 4.51415
86 16 4.79744 4.65491 9.2006 4.64054
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86 18 4.80238 4.53582 9.5643 4.51415
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86 28 4.74927 4.74057 9.6887 4.65301
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86 32 4.83866 4.58599 9.3771 4.44735
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86 34 4.73532 4.65301 9.4087 4.53582
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86 36 4.84103 4.48526 9.1828 4.60617
86 37 4.57471 4.68675 9.2575 4.58292
86 38 4.85981 4.59310 9.2679 4.44735
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86 42 4.91118 4.51415 9.4824 4.44735
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87 7 4.72739 4.72295 9.7191 4.54966
87 8 4.82911 4.79414 9.4875 4.64343
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87 31 4.52504 4.70320 9.3383 4.66532
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88 45 4.63084 4.85671 9.4826 4.82109
88 46 4.73883 4.72650 9.3761 4.74754
89 1 4.65966 4.80648 9.3617 4.79991
89 2 4.57265 4.83310 9.5197 4.83945
89 3 4.77322 4.84968 9.3275 4.77828
89 4 4.41159 4.83945 9.7279 4.83310
89 5 4.61115 4.95583 9.9373 4.90379
89 6 4.88053 4.82028 9.6124 4.78916
89 7 4.61611 4.91192 9.9003 4.69501
89 8 4.73444 4.94021 9.6191 4.80648
89 9 4.76303 4.80729 9.5078 4.71761
89 10 4.36182 4.89485 9.3961 4.77576
89 11 4.65014 4.88809 9.6841 4.64247
89 12 4.88658 4.77912 9.5068 4.64247
89 13 4.54754 4.97742 9.4833 4.77828
89 14 4.56954 4.91632 9.5541 4.77828
89 15 5.14517 4.64247 9.3820 4.69501
89 16 4.64054 4.87290 9.3368 4.83469
89 17 4.80729 4.97259 9.5546 4.83549
89 18 4.69135 4.78916 9.7693 4.69501
89 19 4.64823 5.00126 9.8329 4.83549
89 20 4.75875 4.89035 9.5995 4.77912
89 21 4.52504 5.02716 9.6004 4.86830
89 22 4.68491 4.83469 9.2205 4.79991
89 23 4.81056 4.77828 9.5474 4.64247
89 24 4.45667 4.81218 9.4246 4.77576
89 25 4.54116 4.93663 9.4931 4.77576
89 26 4.92653 4.98086 9.6986 4.83310
89 27 5.15271 4.83549 9.7886 4.86522
89 28 4.63473 4.93806 9.9143 4.81056
89 29 4.30946 4.84576 9.3327 4.83310
89 30 4.60617 4.91779 9.7581 4.81056
89 31 4.43201 4.91192 9.3874 4.81218
89 32 4.77576 4.79165 9.5464 4.64247
89 33 4.57985 4.89335 9.3580 4.77828
89 34 4.67376 4.81056 9.6031 4.78916
89 35 4.79414 4.90379 9.6283 4.95583
89 36 4.80729 4.71761 9.3643 4.80729
89 37 4.47050 4.86830 9.4202 4.77576
89 38 4.82591 4.79991 9.4614 4.64247
89 39 4.54860 4.91998 9.5242 4.84576
89 40 4.04305 4.90971 9.3436 4.77576
89 41 4.79496 4.86522 9.5429 4.83549
89 42 4.80811 4.69501 9.6763 4.64247
89 43 4.45551 5.01463 9.6446 4.89485
89 44 4.64439 4.87672 9.2966 4.64247
89 45 4.60817 4.92943 9.5420 4.88809
89 46 4.71313 4.77576 9.4254 4.81218
90 1 4.68767 4.93519 9.4577 4.88507
90 2 4.48751 4.86907 9.5343 4.89485
90 3 4.72827 4.95018 9.4230 4.86059
90 4 4.35414 5.09865 9.7633 4.86907
90 5 4.51634 5.14283 9.9733 5.01662
90 6 4.84576 4.94164 9.7072 4.87901
90 7 4.43201 4.98155 9.8705 4.85671
90 8 4.70139 5.01130 9.6715 4.88507
90 9 4.73444 4.88507 9.5718 4.82991
90 10 4.50092 4.95089 9.4969 4.86368
90 11 4.54436 4.99247 9.7705 4.75014
90 12 4.85437 4.87367 9.5778 4.75014
90 13 4.55808 5.00797 9.5920 4.86059
90 14 4.54648 4.98224 9.6420 4.86059
90 15 5.20675 4.75014 9.4634 4.85671
90 16 4.62006 4.96564 9.4544 4.94093
90 17 4.76644 5.07580 9.6141 4.91192
90 18 4.63279 4.87901 9.8076 4.85671
90 19 4.59915 5.02651 9.8549 4.91192
90 20 4.73970 4.96912 9.6525 4.87367
90 21 4.50756 5.08945 9.6520 4.93375
90 22 4.62301 4.94093 9.3105 4.90527
90 23 4.77996 4.86059 9.6129 4.75014
90 24 4.43912 4.94450 9.4969 4.86368
90 25 4.49870 4.96564 9.6260 4.86059
90 26 4.92217 5.15733 9.6892 4.86907
90 27 5.02651 4.91192 9.8242 4.96773
90 28 4.59107 5.00596 9.9678 4.89560
90 29 4.25986 4.89485 9.4253 4.86907
90 30 4.54010 5.12039 9.8080 4.89560
90 31 4.34510 4.97189 9.5042 4.93375
90 32 4.74927 4.90823 9.6175 4.75014
90 33 4.48187 4.98429 9.4398 4.86059
90 34 4.61809 4.89560 9.6888 4.87901
90 35 4.61907 5.01662 9.6722 5.02651
90 36 4.77576 4.82991 9.4634 4.88507
90 37 4.48074 4.93375 9.5686 4.86368
90 38 4.80238 4.90527 9.5365 4.75014
90 39 4.44969 4.98155 9.5881 4.89485
90 40 3.97781 5.02322 9.3937 4.86368
90 41 4.82270 4.96773 9.6088 4.91192
90 42 4.77828 4.85671 9.7230 4.75014
90 43 4.42365 5.12098 9.6960 4.95089
90 44 4.64535 4.96215 9.3882 4.75014
90 45 4.54436 5.01794 9.6130 4.99247
90 46 4.57368 4.86368 9.5376 4.93375
91 1 4.68120 4.97259 9.5000 4.92290
91 2 4.39692 5.01993 9.5632 4.98975
91 3 4.76046 4.98703 9.4663 4.88658
91 4 4.22975 5.23004 9.7816 5.01993
91 5 4.46245 5.13285 9.9973 5.09559
91 6 4.77744 4.96424 9.7251 4.95301
91 7 4.40916 4.96494 9.9150 4.91632
91 8 4.58701 5.16364 9.6961 4.92870
91 9 4.69684 4.92870 9.5952 4.85981
91 10 4.44735 4.97259 9.5524 4.84419
91 11 4.56539 5.03955 9.7930 4.79165
91 12 4.84576 4.91118 9.6006 4.79165
91 13 4.57574 5.04600 9.6073 4.88658
91 14 4.51961 4.98155 9.6709 4.88658
91 15 5.14049 4.79165 9.4984 4.88658
91 16 4.67470 5.00797 9.4992 4.96074
91 17 4.75445 5.06828 9.6220 5.03630
91 18 4.58088 4.95301 9.8243 4.91632
91 19 4.53796 5.09559 9.8723 5.01130
91 20 4.70320 4.97604 9.6765 4.91118
91 21 4.45667 5.15848 9.6721 5.01263
91 22 4.65966 4.96074 9.3525 4.92290
91 23 4.78666 4.88658 9.6376 4.79165
91 24 4.41764 4.96703 9.5524 4.84419
91 25 4.52613 5.02520 9.6464 4.84419
91 26 4.74927 5.22736 9.7039 4.97259
91 27 4.97535 5.03630 9.8368 5.01130
91 28 4.46245 5.19518 9.9935 4.96424
91 29 4.24707 4.98975 9.4697 5.00462
91 30 4.45899 5.19518 9.8326 4.97051
91 31 4.44500 5.07392 9.5580 4.96703
91 32 4.72916 4.94021 9.6419 4.79165
91 33 4.47506 5.00462 9.4689 4.88658
91 34 4.62986 4.97051 9.7177 4.94021
91 35 4.64054 5.13756 9.6818 5.09559
91 36 4.79991 4.85981 9.4854 4.92870
91 37 4.51961 5.01263 9.6045 4.84419
91 38 4.79248 4.92290 9.5700 4.79165
91 39 4.37701 5.15675 9.6282 4.98703
91 40 3.97968 5.11859 9.4328 4.84419
91 41 4.79496 5.01130 9.6238 5.03630
91 42 4.69226 4.91632 9.7432 4.79165
91 43 4.36564 5.17841 9.7390 4.97259
91 44 4.60617 4.97051 9.4239 4.79165
91 45 4.55913 5.06639 9.6446 5.03955
91 46 4.69226 4.84419 9.5939 4.96703
92 1 4.69226 5.14866 9.5842 5.07204
92 2 4.36945 5.11018 9.6277 5.10837
92 3 4.83628 5.17784 9.5381 5.03109
92 4 4.21213 5.30777 9.8253 5.11018
92 5 4.42604 5.26528 10.0385 5.16992
92 6 4.78749 5.16307 9.8147 5.06953
92 7 4.41401 5.23325 10.0034 5.06196
92 8 4.56331 5.23111 9.7553 5.07204
92 9 4.69318 5.07204 9.6768 5.02322
92 10 4.44383 5.11919 9.5869 5.04407
92 11 4.55177 5.19185 9.8477 4.91118
92 12 4.85359 5.03370 9.6729 4.91118
92 13 4.55598 5.18459 9.6859 5.03109
92 14 4.49981 5.16020 9.7399 5.03109
92 15 5.12158 4.91118 9.5932 5.03109
92 16 4.68675 5.18235 9.5584 5.08016
92 17 4.74232 5.23484 9.6988 5.10230
92 18 4.51852 5.06953 9.8907 5.06196
92 19 4.50535 5.16992 9.9438 5.10230
92 20 4.67842 5.17445 9.7500 5.03370
92 21 4.42843 5.28675 9.7559 5.07517
92 22 4.64343 5.08016 9.4732 5.09926
92 23 4.80648 5.03109 9.7257 4.91118
92 24 4.46130 5.09681 9.6479 5.04407
92 25 4.50645 5.13285 9.7405 5.03109
92 26 4.70048 5.26683 9.7819 5.11018
92 27 4.96773 5.10230 9.9470 5.12396
92 28 4.46130 5.25280 10.0465 5.16307
92 29 4.26830 5.10837 9.5258 5.11018
92 30 4.41159 5.29079 9.9045 5.12396
92 31 4.30946 5.12575 9.6354 5.07517
92 32 4.72117 5.07267 9.7025 4.91118
92 33 4.45783 5.13932 9.5711 5.03109
92 34 4.56643 5.17162 9.7789 5.06386
92 35 4.60617 5.24702 9.7905 5.16992
92 36 4.80320 5.02322 9.5693 5.07204
92 37 4.53260 5.07517 9.6213 5.04407
92 38 4.79579 5.09926 9.6690 4.91118
92 39 4.34640 5.22575 9.6782 5.10837
92 40 4.00733 5.13639 9.4996 5.04407
92 41 4.84024 5.12396 9.7196 5.10230
92 42 4.68398 5.06196 9.7987 4.91118
92 43 4.39568 5.29431 9.8002 5.11919
92 44 4.58497 5.06386 9.5124 4.91118
92 45 4.56643 5.17332 9.7020 5.18459
92 46 4.70773 5.04407 9.6555 5.07517
;
ods graphics on;
proc ssm data=cigar plots=residual(std normal);
id year interval=year;
array RegionArray{46} region1-region46;
do i=1 to 46;
RegionArray[i] = (region=i);
end;
trend IrwTrend(ll) cross(matchparm)=(RegionArray) levelvar=0;
irregular wn;
model lsales = lprice lndi lpimin IrwTrend wn;
eval TrendPlusReg = IrwTrend + lprice + lndi + lpimin;
output out=forCigar pdv;
run;
proc format ;
value RegionFormat
1 = ' Alabama'
2 = ' Arizona'
3 = ' Arkansas'
4 = ' California'
5 = ' Connecticut'
6 = ' Delaware'
7 = ' DC'
8 = ' Florida'
9 = ' Georgia'
10 = ' Idaho'
11 = ' Illinois'
12 = ' Indiana'
13 = ' Iowa'
14 = ' Kansas'
15 = ' Kentucky'
16 = ' Louisiana'
17 = ' Maine'
18 = ' Maryland'
19 = ' Massachusetts'
20 = ' Michigan'
21 = ' Minnesota'
22 = ' Mississippi'
23 = ' Missouri'
24 = ' Montana'
25 = ' Nebraska'
26 = ' Nevada'
27 = ' New Hampshire'
28 = ' New Jersey'
29 = ' New Mexico '
30 = ' New York '
31 = ' North Dakota '
32 = ' Ohio '
33 = ' Oklahoma '
34 = ' Pennsylvania '
35 = ' Rhode Island '
36 = ' South Carolina '
37 = ' South Dakota '
38 = ' Tennessee '
39 = ' Texas '
40 = ' Utah '
41 = ' Vermont '
42 = ' Virginia'
43 = ' Washington'
44 = ' West Virginia'
45 = ' Wisconsin'
46 = ' Wyoming '
;
run;
proc sgpanel data=forCigar noautolegend;
where region <= 3;
format region RegionFormat.;
title 'Region-Specific Sales Patterns with 95% Confidence Band';
panelby region / columns=3;
band x=year lower=Smoothed_Lower_TrendPlusReg
upper=Smoothed_Upper_TrendPlusReg;
scatter x=year y=lsales;
series x=year y= Smoothed_TrendPlusReg;
run;
title;
proc sgpanel data=forCigar noautolegend;
where region <= 3;
format region RegionFormat.;
title 'Region-Specific Trend Estimates';
panelby region / columns=3;
series x=year y= smoothed_IrwTrend;
run;