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Analysis of Variance (ANOVA) The basic principle of the inpatient prospective payment system (IPPS) is that the levels (no Complication or Comorbidity/Complication or Comorbidity/Major complication
Analysis of Variance (ANOVA)
The basic principle of the inpatient prospective payment system (IPPS) is that the "levels" (no Complication or Comorbidity/Complication or Comorbidity/Major complication or comorbidity) of a MS-DRG family has different resource intensity and therefore should be paid differently.
Complete the following:
- Use the CHF data to test this hypothesis. Use charge as a measure of resource intensity. Be sure to state the null and alternative hypotheses, and set the alpha prior to performing the test.
- Conclude, if possible, which MS-DRGs have significantly different average charges.
| Patient | LOS | Age | Sex | AmtReim | TotAccomChg | TotDeptChg | NumDxCodes | admsrc | dischdest | drgcode |
| 1 | 8 | 4 | 1 | 10372 | 19632 | 8144 | 9 | 4 | 06 | 291 |
| 2 | 5 | 4 | 2 | 10306 | 12270 | 23259 | 9 | 1 | 01 | 291 |
| 3 | 2 | 4 | 2 | 10306 | 4908 | 12834 | 9 | 1 | 01 | 291 |
| 4 | 2 | 5 | 2 | 10372 | 4908 | 5459 | 9 | 7 | 01 | 291 |
| 5 | 2 | 3 | 2 | 6200 | 4908 | 8893 | 7 | 1 | 01 | 293 |
| 6 | 5 | 4 | 1 | 6186 | 12270 | 25758 | 6 | 7 | 01 | 293 |
| 7 | 7 | 6 | 2 | 10372 | 18816 | 14516 | 9 | 7 | 06 | 291 |
| 8 | 6 | 7 | 2 | 7224 | 14724 | 8105 | 4 | 1 | 01 | 293 |
| 9 | 4 | 7 | 2 | 6200 | 9816 | 22244 | 9 | 1 | 06 | 293 |
| 10 | 8 | 7 | 1 | 6200 | 19632 | 6506 | 8 | 4 | 01 | 293 |
| 11 | 6 | 9 | 1 | 7328 | 14724 | 9108 | 9 | 1 | 06 | 292 |
| 12 | 7 | 3 | 2 | 7307 | 18816 | 17622 | 9 | 1 | 62 | 292 |
| 13 | 8 | 3 | 1 | 10372 | 21816 | 15152 | 9 | 7 | 06 | 291 |
| 14 | 17 | 4 | 2 | 10306 | 59718 | 39275 | 9 | 4 | 06 | 291 |
| 15 | 3 | 7 | 1 | 6200 | 7362 | 23293 | 9 | 7 | 06 | 293 |
| 16 | 6 | 8 | 2 | 7328 | 14724 | 11008 | 9 | 1 | 06 | 292 |
| 17 | 5 | 8 | 2 | 7328 | 12270 | 7951 | 9 | 1 | 06 | 292 |
| 18 | 3 | 5 | 1 | 9604 | 8181 | 6400 | 9 | 1 | 01 | 291 |
| 19 | 3 | 3 | 1 | 7307 | 7362 | 15891 | 9 | 1 | 01 | 292 |
| 20 | 18 | 8 | 2 | 9348 | 44172 | 44636 | 9 | 1 | 62 | 291 |
| 21 | 8 | 4 | 1 | 10306 | 22632 | 16528 | 9 | 4 | 62 | 291 |
| 22 | 3 | 9 | 2 | 7111 | 7362 | 7642 | 9 | 6 | 03 | 291 |
| 23 | 3 | 5 | 1 | 8352 | 7362 | 21648 | 9 | 4 | 01 | 292 |
| 24 | 6 | 5 | 2 | 7224 | 14724 | 13808 | 7 | 1 | 06 | 293 |
| 25 | 3 | 3 | 1 | 7125 | 7362 | 7051 | 9 | 7 | 06 | 292 |
| 26 | 3 | 3 | 1 | 7307 | 7362 | 13726 | 9 | 7 | 01 | 292 |
| 27 | 7 | 9 | 2 | 7328 | 17178 | 11598 | 9 | 5 | 01 | 292 |
| 28 | 6 | 9 | 2 | 10372 | 16362 | 9502 | 9 | 7 | 03 | 291 |
| 29 | 6 | 6 | 1 | 7224 | 14724 | 3841 | 9 | 4 | 01 | 293 |
| 30 | 7 | 9 | 2 | 10372 | 17178 | 11772 | 9 | 1 | 20 | 291 |
| 31 | 3 | 9 | 2 | 8096 | 8181 | 12812 | 9 | 5 | 03 | 292 |
| 32 | 3 | 9 | 2 | 7224 | 7362 | 18325 | 9 | 7 | 62 | 293 |
| 33 | 7 | 4 | 2 | 10372 | 17178 | 25524 | 9 | 7 | 01 | 291 |
| 34 | 2 | 3 | 2 | 6186 | 4908 | 20305 | 8 | 7 | 01 | 293 |
| 35 | 3 | 6 | 1 | 7156 | 8181 | 7851 | 9 | 7 | 06 | 292 |
| 36 | 13 | 7 | 1 | 10372 | 31902 | 38027 | 9 | 4 | 62 | 291 |
| 37 | 7 | 6 | 2 | 10306 | 17178 | 21988 | 9 | 4 | 01 | 291 |
| 38 | 12 | 6 | 1 | 7307 | 29448 | 33959 | 9 | 7 | 06 | 292 |
| 39 | 7 | 8 | 2 | 10306 | 17178 | 7653 | 9 | 7 | 03 | 291 |
| 40 | 10 | 8 | 2 | 9348 | 27270 | 12287 | 9 | 5 | 03 | 291 |
| 41 | 4 | 7 | 2 | 7224 | 9816 | 6545 | 6 | 4 | 62 | 293 |
| 42 | 10 | 3 | 1 | 7328 | 27270 | 51831 | 9 | 1 | 06 | 292 |
| 43 | 4 | 8 | 1 | 7328 | 10089 | 8197 | 9 | 1 | 06 | 292 |
| 44 | 14 | 7 | 2 | 9314 | 36290 | 26885 | 9 | 1 | 63 | 291 |
| 45 | 5 | 7 | 2 | 7328 | 12270 | 7381 | 9 | 1 | 01 | 292 |
| 46 | 11 | 6 | 1 | 10372 | 27813 | 29640 | 9 | 6 | 20 | 291 |
| 47 | 3 | 4 | 1 | 10306 | 7362 | 16110 | 9 | 1 | 01 | 291 |
| 48 | 4 | 8 | 1 | 8352 | 10635 | 16165 | 9 | 1 | 06 | 292 |
| 49 | 4 | 8 | 2 | 8352 | 9816 | 9050 | 9 | 5 | 03 | 292 |
| 50 | 14 | 6 | 1 | 10372 | 52356 | 54000 | 9 | 4 | 63 | 291 |
| 51 | 4 | 6 | 2 | 7307 | 9816 | 19578 | 9 | 4 | 01 | 292 |
| 52 | 2 | 7 | 2 | 5077 | 5454 | 7349 | 9 | 7 | 06 | 291 |
| 53 | 6 | 7 | 2 | 10372 | 16089 | 14907 | 9 | 2 | 03 | 291 |
| 54 | 6 | 7 | 1 | 6200 | 14724 | 7592 | 9 | 1 | 01 | 293 |
| 55 | 1 | 8 | 1 | 6200 | 2454 | 12934 | 9 | 7 | 01 | 293 |
| 56 | 7 | 8 | 1 | 8352 | 17178 | 20868 | 5 | 7 | 06 | 292 |
| 57 | 2 | 8 | 2 | 6946 | 4908 | 5275 | 7 | 1 | 06 | 293 |
| 58 | 2 | 8 | 2 | 8299 | 4908 | 6669 | 7 | 1 | 01 | 292 |
| 59 | 3 | 7 | 2 | 7091 | 7362 | 16887 | 9 | 7 | 06 | 291 |
| 60 | 4 | 8 | 2 | 8352 | 9816 | 19391 | 9 | 7 | 01 | 292 |
| 61 | 8 | 4 | 1 | 10306 | 21543 | 34499 | 9 | 1 | 06 | 291 |
| 62 | 12 | 3 | 1 | 10372 | 29721 | 36984 | 9 | 7 | 06 | 291 |
| 63 | 5 | 9 | 2 | 9348 | 12270 | 14455 | 9 | 7 | 01 | 291 |
| 64 | 3 | 4 | 2 | 8135 | 7362 | 21724 | 9 | 4 | 62 | 291 |
| 65 | 5 | 9 | 1 | 8352 | 12270 | 9817 | 9 | 7 | 06 | 292 |
| 66 | 9 | 8 | 1 | 7328 | 22086 | 12891 | 9 | 1 | 01 | 292 |
| 67 | 4 | 5 | 1 | 8352 | 9816 | 8099 | 7 | 1 | 01 | 292 |
| 68 | 16 | 6 | 2 | 9389 | 39264 | 56077 | 9 | 7 | 20 | 291 |
| 69 | 4 | 7 | 2 | 8299 | 9816 | 6609 | 9 | 7 | 06 | 292 |
| 70 | 2 | 7 | 2 | 5954 | 4908 | 11836 | 9 | 7 | 06 | 293 |
| 71 | 10 | 6 | 2 | 7307 | 27270 | 11076 | 9 | 1 | 62 | 292 |
| 72 | 6 | 6 | 2 | 9348 | 16362 | 8068 | 9 | 1 | 03 | 291 |
| 73 | 7 | 7 | 2 | 8385 | 17178 | 3737 | 9 | 1 | 03 | 292 |
| 74 | 1 | 4 | 1 | 7307 | 2454 | 6343 | 9 | 1 | 01 | 292 |
| 75 | 4 | 9 | 1 | 8352 | 9816 | 9802 | 9 | 7 | 06 | 292 |
| 76 | 2 | 5 | 2 | 6200 | 4908 | 17325 | 7 | 1 | 01 | 293 |
| 77 | 2 | 7 | 1 | 7328 | 4908 | 10749 | 9 | 1 | 01 | 292 |
| 78 | 18 | 4 | 2 | 8352 | 49086 | 23614 | 9 | 7 | 03 | 292 |
| 79 | 6 | 4 | 1 | 9348 | 14724 | 39146 | 7 | 1 | 01 | 291 |
| 80 | 4 | 5 | 1 | 6186 | 9816 | 14517 | 9 | 1 | 01 | 293 |
| 81 | 5 | 8 | 2 | 6200 | 12270 | 10710 | 9 | 1 | 06 | 293 |
| 82 | 11 | 3 | 1 | 5176 | 29724 | 13601 | 9 | 7 | 07 | 293 |
| 83 | 4 | 3 | 1 | 10104 | 9816 | 17515 | 9 | 7 | 06 | 291 |
| 84 | 6 | 3 | 1 | 9348 | 14724 | 8024 | 9 | 7 | 06 | 291 |
| 85 | 12 | 6 | 2 | 7328 | 29448 | 17512 | 9 | 7 | 06 | 292 |
| 86 | 1 | 6 | 2 | 7307 | 5454 | 13419 | 9 | 7 | 20 | 292 |
| 87 | 1 | 8 | 1 | 7307 | 2454 | 7257 | 9 | 1 | 01 | 292 |
| 88 | 17 | 7 | 2 | 24691 | 81537 | 92645 | 9 | 5 | 20 | 291 |
| 89 | 19 | 4 | 2 | 7307 | 51813 | 22010 | 9 | 7 | 06 | 292 |
| 90 | 8 | 5 | 2 | 9348 | 19632 | 28685 | 9 | 7 | 62 | 291 |
| 91 | 8 | 5 | 2 | 10372 | 19632 | 12937 | 9 | 6 | 62 | 291 |
| 92 | 10 | 8 | 2 | 7328 | 24540 | 20389 | 9 | 1 | 03 | 292 |
| 93 | 3 | 6 | 2 | 7224 | 7362 | 4845 | 8 | 7 | 01 | 293 |
| 94 | 5 | 8 | 1 | 10306 | 12270 | 11413 | 9 | 4 | 01 | 291 |
| 95 | 3 | 8 | 1 | 7111 | 7635 | 7573 | 9 | 1 | 06 | 291 |
| 96 | 8 | 8 | 1 | 7328 | 19632 | 9014 | 9 | 1 | 06 | 292 |
| 97 | 6 | 9 | 2 | 9348 | 14724 | 15619 | 9 | 7 | 06 | 291 |
| 98 | 2 | 3 | 1 | 0 | 5454 | 14680 | 9 | 1 | 01 | 291 |
| 99 | 8 | 4 | 1 | 7178 | 19632 | 27023 | 8 | 7 | 06 | 293 |
| 100 | 7 | 8 | 1 | 6200 | 17178 | 15861 | 9 | 1 | 06 | 293 |
| 101 | 5 | 3 | 2 | 8299 | 12270 | 9417 | 9 | 1 | 06 | 292 |
| 102 | 47 | 7 | 1 | 19293 | 115897 | 40341 | 9 | 4 | 50 | 291 |
| 103 | 6 | 8 | 1 | 9348 | 14724 | 16173 | 9 | 7 | 03 | 291 |
| 104 | 6 | 8 | 1 | 7307 | 14724 | 7696 | 9 | 1 | 06 | 292 |
| 105 | 8 | 6 | 1 | 9348 | 21816 | 11337 | 9 | 1 | 06 | 291 |
| 106 | 3 | 7 | 1 | 6200 | 7362 | 4854 | 6 | 7 | 01 | 293 |
| 107 | 12 | 7 | 2 | 6200 | 29448 | 22170 | 9 | 7 | 03 | 293 |
| 108 | 2 | 9 | 1 | 5077 | 4908 | 4975 | 9 | 7 | 06 | 291 |
| 109 | 13 | 9 | 2 | 8352 | 35451 | 22129 | 9 | 7 | 62 | 292 |
| 110 | 4 | 6 | 1 | 8299 | 9816 | 20513 | 9 | 7 | 01 | 292 |
| 111 | 14 | 6 | 1 | 7224 | 43356 | 31181 | 9 | 7 | 62 | 293 |
| 112 | 5 | 7 | 2 | 8352 | 13635 | 7406 | 9 | 4 | 06 | 292 |
| 113 | 9 | 5 | 1 | 7307 | 22086 | 15972 | 9 | 7 | 06 | 292 |
| 114 | 6 | 7 | 1 | 9348 | 14724 | 14957 | 9 | 7 | 06 | 291 |
| 115 | 13 | 7 | 2 | 7252 | 31902 | 15884 | 9 | 7 | 06 | 293 |
| 116 | 5 | 3 | 1 | 7328 | 12270 | 15440 | 9 | 1 | 01 | 292 |
| 117 | 5 | 5 | 2 | 10372 | 12270 | 12367 | 9 | 4 | 06 | 291 |
| 118 | 6 | 3 | 2 | 9314 | 14724 | 9204 | 9 | 1 | 01 | 291 |
| 119 | 6 | 4 | 1 | 9348 | 14724 | 14024 | 9 | 1 | 06 | 291 |
| 120 | 11 | 6 | 1 | 9314 | 26994 | 17687 | 9 | 4 | 06 | 291 |
| 121 | 25 | 8 | 2 | 13283 | 70350 | 61336 | 9 | 1 | 03 | 291 |
| 122 | 11 | 9 | 2 | 8299 | 26994 | 10189 | 9 | 7 | 06 | 292 |
| 123 | 4 | 8 | 2 | 8299 | 9816 | 5602 | 9 | 4 | 03 | 292 |
| 124 | 4 | 8 | 1 | 10372 | 9816 | 6083 | 9 | 7 | 01 | 291 |
| 125 | 15 | 8 | 2 | 7328 | 39267 | 42305 | 9 | 7 | 06 | 292 |
| 126 | 17 | 7 | 1 | 8352 | 41718 | 56768 | 9 | 6 | 65 | 292 |
| 127 | 8 | 7 | 1 | 7328 | 19632 | 21843 | 9 | 7 | 06 | 292 |
| 128 | 3 | 7 | 2 | 9314 | 7362 | 11111 | 9 | 7 | 01 | 291 |
| 129 | 4 | 5 | 1 | 8352 | 9816 | 5931 | 9 | 7 | 06 | 292 |
| 130 | 6 | 7 | 2 | 9314 | 13054 | 35895 | 9 | 7 | 06 | 291 |
| 131 | 2 | 8 | 2 | 9348 | 4908 | 7574 | 7 | 1 | 01 | 291 |
| 132 | 9 | 4 | 1 | 9389 | 22086 | 38094 | 9 | 1 | 01 | 291 |
| 133 | 10 | 8 | 1 | 8352 | 24540 | 14220 | 9 | 7 | 62 | 292 |
| 134 | 5 | 8 | 1 | 7224 | 12270 | 9956 | 9 | 6 | 62 | 293 |
| 135 | 8 | 7 | 1 | 7307 | 21816 | 18192 | 8 | 7 | 62 | 292 |
| 136 | 7 | 7 | 2 | 10058 | 18270 | 21166 | 9 | 5 | 03 | 291 |
| 137 | 6 | 7 | 2 | 7328 | 14724 | 19871 | 9 | 7 | 03 | 292 |
| 138 | 6 | 9 | 2 | 6200 | 16362 | 9560 | 9 | 1 | 06 | 293 |
| 139 | 4 | 8 | 1 | 7328 | 9816 | 8393 | 9 | 1 | 03 | 292 |
| 140 | 5 | 8 | 2 | 9348 | 12270 | 12906 | 9 | 1 | 06 | 291 |
| 141 | 2 | 9 | 2 | 5088 | 4908 | 4317 | 9 | 1 | 06 | 292 |
| 142 | 11 | 8 | 2 | 9348 | 26994 | 37174 | 9 | 1 | 01 | 291 |
| 143 | 22 | 7 | 2 | 10372 | 59721 | 31004 | 9 | 1 | 06 | 291 |
| 144 | 3 | 7 | 2 | 7224 | 7362 | 8213 | 8 | 7 | 06 | 293 |
| 145 | 7 | 7 | 2 | 6200 | 17178 | 21553 | 9 | 7 | 06 | 293 |
| 146 | 6 | 7 | 1 | 6186 | 14724 | 8024 | 9 | 7 | 06 | 293 |
| 147 | 4 | 8 | 2 | 6200 | 9816 | 6995 | 6 | 1 | 06 | 293 |
| 148 | 7 | 7 | 2 | 9348 | 17178 | 14906 | 9 | 5 | 03 | 291 |
| 149 | 7 | 7 | 1 | 8352 | 17178 | 13895 | 9 | 1 | 06 | 292 |
| 150 | 7 | 7 | 1 | 9348 | 23178 | 13867 | 9 | 7 | 06 | 291 |
| 151 | 10 | 6 | 1 | 0 | 27270 | 19106 | 9 | 7 | 06 | 291 |
| 152 | 4 | 4 | 1 | 7178 | 13635 | 13328 | 9 | 7 | 06 | 293 |
| 153 | 9 | 4 | 1 | 10372 | 24543 | 16223 | 9 | 7 | 06 | 291 |
| 154 | 10 | 4 | 1 | 10372 | 27270 | 14859 | 9 | 1 | 06 | 291 |
| 155 | 5 | 9 | 1 | 7328 | 13635 | 22619 | 9 | 7 | 06 | 292 |
| 156 | 10 | 8 | 2 | 8352 | 24813 | 20491 | 9 | 1 | 06 | 292 |
| 157 | 2 | 8 | 2 | 7224 | 4908 | 7530 | 6 | 1 | 01 | 293 |
| 158 | 3 | 6 | 2 | 8096 | 7362 | 8240 | 9 | 1 | 06 | 292 |
| 159 | 4 | 7 | 1 | 9389 | 9816 | 8370 | 9 | 7 | 01 | 291 |
| 160 | 7 | 7 | 2 | 7328 | 17178 | 8819 | 9 | 1 | 06 | 292 |
| 161 | 6 | 7 | 2 | 10372 | 20724 | 19088 | 9 | 7 | 20 | 291 |
| 162 | 7 | 7 | 1 | 8299 | 17178 | 23280 | 9 | 7 | 63 | 292 |
| 163 | 3 | 6 | 1 | 7224 | 7362 | 7926 | 9 | 1 | 06 | 293 |
| 164 | 4 | 6 | 1 | 9145 | 9816 | 7965 | 9 | 1 | 06 | 291 |
| 165 | 17 | 6 | 1 | 10413 | 41718 | 21486 | 9 | 1 | 51 | 291 |
| 166 | 10 | 6 | 2 | 8352 | 26451 | 18721 | 9 | 7 | 03 | 292 |
| 167 | 4 | 5 | 2 | 6186 | 9816 | 11391 | 8 | 1 | 01 | 293 |
| 168 | 2 | 4 | 2 | 9348 | 4908 | 25068 | 9 | 5 | 01 | 291 |
| 169 | 5 | 8 | 2 | 7328 | 12270 | 13065 | 9 | 7 | 01 | 292 |
| 170 | 1 | 9 | 2 | 8299 | 5454 | 14773 | 9 | 5 | 20 | 292 |
| 171 | 4 | 8 | 2 | 8299 | 9816 | 17999 | 9 | 7 | 03 | 292 |
| 172 | 14 | 7 | 2 | 9348 | 34356 | 39941 | 9 | 7 | 03 | 291 |
| 173 | 15 | 7 | 2 | 10372 | 36810 | 35288 | 9 | 5 | 03 | 291 |
| 174 | 5 | 7 | 2 | 10306 | 12270 | 6764 | 9 | 7 | 03 | 291 |
| 175 | 2 | 7 | 1 | 5077 | 4908 | 4450 | 9 | 7 | 06 | 291 |
| 176 | 4 | 7 | 1 | 10169 | 9816 | 12498 | 9 | 7 | 06 | 291 |
| 177 | 1 | 7 | 1 | 6200 | 2454 | 4546 | 9 | 7 | 20 | 293 |
| 178 | 9 | 6 | 1 | 8299 | 22086 | 24650 | 9 | 1 | 06 | 292 |
| 179 | 18 | 5 | 2 | 10413 | 49086 | 24523 | 9 | 1 | 01 | 291 |
| 180 | 4 | 8 | 1 | 7307 | 9816 | 13703 | 9 | 1 | 06 | 292 |
| 181 | 10 | 8 | 1 | 10372 | 25359 | 27084 | 9 | 6 | 20 | 291 |
| 182 | 4 | 7 | 2 | 7328 | 9816 | 9117 | 9 | 1 | 62 | 292 |
| 183 | 4 | 8 | 2 | 7328 | 9816 | 16523 | 9 | 1 | 03 | 292 |
| 184 | 10 | 9 | 1 | 10372 | 24540 | 20580 | 9 | 7 | 03 | 291 |
| 185 | 5 | 9 | 1 | 8352 | 12270 | 14783 | 9 | 7 | 06 | 292 |
| 186 | 4 | 9 | 1 | 8352 | 10908 | 9856 | 8 | 7 | 06 | 292 |
| 187 | 2 | 9 | 1 | 6062 | 4908 | 4814 | 9 | 7 | 06 | 291 |
| 188 | 3 | 6 | 1 | 7125 | 7362 | 10933 | 9 | 4 | 06 | 292 |
| 189 | 16 | 6 | 1 | 9996 | 81537 | 48878 | 9 | 6 | 20 | 291 |
| 190 | 6 | 6 | 2 | 7307 | 14724 | 14252 | 9 | 4 | 06 | 292 |
| 191 | 4 | 3 | 1 | 9348 | 10908 | 22982 | 9 | 7 | 01 | 291 |
| 192 | 10 | 7 | 2 | 10306 | 24540 | 21039 | 9 | 7 | 03 | 291 |
| 193 | 3 | 6 | 2 | 8083 | 7362 | 7839 | 8 | 7 | 06 | 291 |
| 194 | 8 | 6 | 2 | 7328 | 19632 | 9017 | 9 | 1 | 06 | 292 |
| 195 | 8 | 9 | 1 | 9348 | 19632 | 11476 | 5 | 1 | 03 | 291 |
| 196 | 3 | 6 | 1 | 9348 | 7362 | 13545 | 9 | 1 | 01 | 291 |
| 197 | 6 | 3 | 1 | 6200 | 14724 | 20531 | 9 | 1 | 06 | 293 |
| 198 | 2 | 6 | 1 | 6112 | 4908 | 6006 | 9 | 1 | 03 | 292 |
| 199 | 4 | 7 | 2 | 6186 | 9816 | 8047 | 8 | 7 | 06 | 293 |
| 200 | 12 | 7 | 2 | 10372 | 29448 | 26315 | 9 | 5 | 03 | 291 |
| 201 | 17 | 7 | 1 | 9348 | 41718 | 29424 | 9 | 1 | 06 | 291 |
| 202 | 10 | 4 | 2 | 8299 | 24540 | 13549 | 9 | 1 | 03 | 292 |
| 203 | 3 | 4 | 2 | 8135 | 7362 | 15985 | 9 | 5 | 03 | 291 |
| 204 | 4 | 9 | 2 | 9145 | 9816 | 5648 | 9 | 7 | 06 | 291 |
| 205 | 5 | 4 | 2 | 7307 | 12270 | 13066 | 9 | 1 | 01 | 292 |
| 206 | 4 | 8 | 1 | 9348 | 9816 | 14594 | 9 | 7 | 01 | 291 |
| 207 | 10 | 4 | 1 | 7307 | 24540 | 21355 | 9 | 7 | 03 | 292 |
| 208 | 5 | 9 | 2 | 10306 | 12270 | 7470 | 9 | 7 | 06 | 291 |
| 209 | 9 | 9 | 2 | 10306 | 22086 | 20359 | 9 | 7 | 06 | 291 |
| 210 | 1 | 9 | 1 | 6200 | 2454 | 11895 | 9 | 7 | 01 | 293 |
| 211 | 11 | 6 | 1 | 7328 | 26994 | 12474 | 9 | 7 | 50 | 292 |
| 212 | 16 | 6 | 1 | 8352 | 39810 | 49354 | 9 | 7 | 62 | 292 |
| 213 | 3 | 6 | 1 | 6186 | 7362 | 5371 | 9 | 7 | 50 | 293 |
| 214 | 4 | 6 | 2 | 6186 | 9816 | 17176 | 9 | 7 | 06 | 293 |
| 215 | 4 | 8 | 1 | 8299 | 9816 | 5386 | 9 | 5 | 03 | 292 |
| 216 | 4 | 8 | 1 | 7224 | 9816 | 20038 | 8 | 7 | 06 | 293 |
| 217 | 4 | 8 | 2 | 8299 | 8814 | 4159 | 5 | 7 | 06 | 292 |
| 218 | 1 | 4 | 1 | 7224 | 2454 | 3631 | 6 | 1 | 01 | 293 |
| 219 | 10 | 4 | 2 | 9314 | 24540 | 45508 | 9 | 1 | 62 | 291 |
| 220 | 5 | 7 | 1 | 7328 | 12270 | 5904 | 9 | 1 | 01 | 292 |
| 221 | 2 | 7 | 2 | 0 | 4908 | 14757 | 7 | 7 | 01 | 293 |
| 222 | 12 | 7 | 1 | 7328 | 29448 | 27402 | 9 | 1 | 03 | 292 |
| 223 | 15 | 9 | 2 | 9314 | 36810 | 19218 | 9 | 7 | 62 | 291 |
| 224 | 5 | 9 | 2 | 8352 | 12270 | 4125 | 9 | 1 | 06 | 292 |
| 225 | 5 | 9 | 2 | 7224 | 12270 | 9425 | 9 | 7 | 06 | 293 |
| 226 | 5 | 9 | 2 | 6228 | 12270 | 4807 | 9 | 1 | 06 | 293 |
| 227 | 17 | 8 | 2 | 13203 | 64558 | 62748 | 9 | 7 | 20 | 291 |
| 228 | 6 | 8 | 1 | 7178 | 14724 | 13875 | 6 | 7 | 01 | 293 |
| 229 | 4 | 8 | 1 | 6200 | 9816 | 18811 | 9 | 7 | 06 | 293 |
| 230 | 10 | 8 | 1 | 10372 | 24540 | 15363 | 9 | 7 | 06 | 291 |
| 231 | 6 | 6 | 1 | 9314 | 13054 | 7594 | 9 | 1 | 06 | 291 |
| 232 | 6 | 7 | 1 | 6200 | 16362 | 8481 | 9 | 1 | 01 | 293 |
| 233 | 11 | 8 | 1 | 4850 | 29997 | 28589 | 9 | 6 | 20 | 291 |
| 234 | 1 | 9 | 2 | 3050 | 2454 | 6291 | 9 | 7 | 06 | 292 |
| 235 | 1 | 2 | 2 | 10306 | 2727 | 18699 | 9 | 4 | 01 | 291 |
| 236 | 2 | 5 | 2 | 7307 | 4908 | 5110 | 9 | 1 | 01 | 292 |
| 237 | 4 | 5 | 2 | 7328 | 9816 | 9821 | 9 | 1 | 01 | 292 |
| 238 | 1 | 3 | 1 | 6186 | 2454 | 12585 | 9 | 1 | 01 | 293 |
| 239 | 5 | 8 | 2 | 10372 | 12270 | 23082 | 8 | 7 | 06 | 291 |
| 240 | 9 | 9 | 2 | 10306 | 23178 | 12147 | 9 | 5 | 01 | 291 |
| 241 | 3 | 8 | 1 | 9348 | 7362 | 8456 | 9 | 7 | 01 | 291 |
| 242 | 2 | 5 | 1 | 5088 | 4908 | 13418 | 9 | 7 | 06 | 292 |
| 243 | 4 | 9 | 2 | 10104 | 9816 | 8225 | 9 | 4 | 06 | 291 |
| 244 | 2 | 6 | 1 | 6946 | 4908 | 7100 | 9 | 1 | 06 | 293 |
| 245 | 6 | 6 | 2 | 7328 | 14724 | 10096 | 9 | 7 | 06 | 292 |
| 246 | 5 | 8 | 2 | 6200 | 12270 | 11347 | 9 | 7 | 06 | 293 |
| 247 | 4 | 8 | 2 | 6186 | 9816 | 10900 | 7 | 7 | 06 | 293 |
| 248 | 17 | 9 | 2 | 10306 | 41718 | 24289 | 9 | 4 | 20 | 291 |
| 249 | 13 | 7 | 2 | 7307 | 31902 | 22532 | 9 | 7 | 06 | 292 |
| 250 | 11 | 8 | 1 | 6200 | 29997 | 13888 | 9 | 1 | 06 | 293 |
| 251 | 2 | 7 | 1 | 6991 | 4908 | 10297 | 9 | 1 | 06 | 293 |
| 252 | 5 | 8 | 2 | 7224 | 12816 | 5951 | 9 | 7 | 06 | 293 |
| 253 | 5 | 4 | 2 | 9348 | 13635 | 22709 | 9 | 7 | 06 | 291 |
| 254 | 7 | 6 | 2 | 6200 | 19089 | 15749 | 9 | 7 | 62 | 293 |
| 255 | 11 | 6 | 2 | 9348 | 26994 | 21738 | 9 | 7 | 62 | 291 |
| 256 | 8 | 6 | 1 | 8299 | 19632 | 18865 | 9 | 4 | 06 | 292 |
| 257 | 4 | 8 | 1 | 7224 | 9816 | 9616 | 9 | 1 | 06 | 293 |
| 258 | 10 | 5 | 1 | 9314 | 24540 | 42265 | 9 | 7 | 03 | 291 |
| 259 | 5 | 8 | 2 | 8352 | 12270 | 12269 | 9 | 1 | 06 | 292 |
| 260 | 18 | 8 | 2 | 10306 | 49086 | 30427 | 9 | 7 | 03 | 291 |
| 261 | 4 | 7 | 2 | 8299 | 9816 | 25656 | 9 | 1 | 06 | 292 |
| 262 | 23 | 4 | 1 | 0 | 89445 | 39396 | 9 | 7 | 51 | 291 |
| 263 | 2 | 6 | 1 | 8352 | 5454 | 7815 | 8 | 7 | 01 | 292 |
| 264 | 3 | 6 | 2 | 8096 | 7362 | 8185 | 9 | 7 | 06 | 292 |
| 265 | 3 | 5 | 1 | 7178 | 7362 | 8012 | 9 | 7 | 06 | 293 |
| 266 | 6 | 5 | 1 | 8299 | 14724 | 5542 | 9 | 7 | 06 | 292 |
| 267 | 2 | 6 | 1 | 6200 | 4908 | 16489 | 9 | 7 | 01 | 293 |
| 268 | 5 | 6 | 1 | 8352 | 12270 | 12246 | 9 | 1 | 01 | 292 |
| 269 | 34 | 8 | 1 | 32788 | 119436 | 87820 | 9 | 7 | 20 | 291 |
| 270 | 3 | 8 | 1 | 7104 | 7362 | 2484 | 9 | 1 | 06 | 292 |
| 271 | 5 | 8 | 1 | 7178 | 12270 | 6066 | 9 | 1 | 06 | 293 |
| 272 | 9 | 6 | 1 | 8352 | 22086 | 22238 | 9 | 1 | 06 | 292 |
| 273 | 3 | 8 | 1 | 8135 | 7362 | 15272 | 9 | 7 | 63 | 291 |
| 274 | 3 | 8 | 1 | 8149 | 10908 | 20721 | 9 | 7 | 06 | 292 |
| 275 | 6 | 8 | 1 | 10306 | 14724 | 9614 | 9 | 7 | 03 | 291 |
| 276 | 4 | 5 | 2 | 7328 | 9816 | 14719 | 9 | 1 | 01 | 292 |
| 277 | 16 | 8 | 2 | 10413 | 39264 | 40591 | 9 | 7 | 20 | 291 |
| 278 | 20 | 4 | 2 | 6090 | 54267 | 48128 | 9 | 7 | 06 | 291 |
| 279 | 9 | 3 | 1 | 10306 | 40086 | 62025 | 9 | 1 | 20 | 291 |
| 280 | 7 | 7 | 2 | 7178 | 17178 | 18664 | 9 | 4 | 65 | 293 |
| 281 | 10 | 7 | 1 | 5293 | 26997 | 18455 | 9 | 5 | 03 | 291 |
| 282 | 2 | 8 | 1 | 6186 | 4908 | 9125 | 9 | 1 | 01 | 293 |
| 283 | 9 | 6 | 1 | 10306 | 22086 | 16268 | 9 | 1 | 01 | 291 |
| 284 | 5 | 4 | 1 | 7328 | 13635 | 8158 | 9 | 7 | 20 | 292 |
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| 286 | 2 | 4 | 2 | 9348 | 4908 | 10009 | 9 | 1 | 01 | 291 |
| 287 | 3 | 3 | 1 | 10413 | 10362 | 33567 | 9 | 7 | 01 | 291 |
| 288 | 3 | 8 | 1 | 6200 | 7362 | 9463 | 9 | 2 | 06 | 293 |
| 289 | 2 | 7 | 2 | 7328 | 5181 | 7370 | 9 | 7 | 01 | 292 |
| 290 | 9 | 8 | 2 | 9348 | 22086 | 14179 | 9 | 7 | 06 | 291 |
| 291 | 11 | 8 | 2 | 8352 | 26994 | 14936 | 9 | 7 | 03 | 292 |
| 292 | 4 | 8 | 2 | 9112 | 9816 | 15547 | 9 | 7 | 05 | 291 |
| 293 | 7 | 8 | 2 | 8352 | 17178 | 21798 | 9 | 7 | 06 | 292 |
| 294 | 11 | 7 | 2 | 7328 | 29997 | 17736 | 9 | 1 | 06 | 292 |
| 295 | 6 | 7 | 2 | 0 | 16089 | 14351 | 9 | 1 | 06 | 291 |
| 296 | 10 | 7 | 2 | 0 | 27270 | 13234 | 9 | 1 | 06 | 292 |
| 297 | 12 | 6 | 1 | 10306 | 29448 | 41799 | 9 | 4 | 06 | 291 |
| 298 | 12 | 8 | 2 | 10306 | 31632 | 24625 | 9 | 1 | 03 | 291 |
| 299 | 5 | 5 | 2 | 6186 | 12270 | 13170 | 9 | 7 | 01 | 293 |
| 300 | 1 | 3 | 1 | 3800 | 2727 | 6118 | 9 | 4 | 06 | 292 |
| 301 | 38 | 3 | 1 | 7320 | 190890 | 262383 | 9 | 7 | 20 | 291 |
| 302 | 7 | 9 | 1 | 10306 | 17178 | 15214 | 9 | 5 | 03 | 291 |
| 303 | 5 | 3 | 1 | 9348 | 12270 | 18549 | 9 | 4 | 01 | 291 |
| 304 | 6 | 8 | 2 | 7328 | 14724 | 9972 | 9 | 4 | 01 | 292 |
| 305 | 12 | 3 | 1 | 7328 | 29448 | 32845 | 9 | 1 | 06 | 292 |
| 306 | 15 | 9 | 1 | 9348 | 36810 | 40286 | 9 | 7 | 03 | 291 |
| 307 | 7 | 6 | 1 | 7252 | 17178 | 9586 | 9 | 7 | 03 | 293 |
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| 309 | 6 | 9 | 2 | 8385 | 16089 | 7453 | 9 | 5 | 03 | 292 |
| 310 | 7 | 9 | 2 | 7307 | 18270 | 24993 | 9 | 7 | 62 | 292 |
| 311 | 4 | 5 | 1 | 7307 | 9816 | 14962 | 9 | 4 | 06 | 292 |
| 312 | 2 | 6 | 2 | 10372 | 10908 | 19015 | 9 | 7 | 20 | 291 |
| 313 | 8 | 8 | 2 | 7224 | 21543 | 11179 | 9 | 5 | 20 | 293 |
| 314 | 4 | 8 | 1 | 7224 | 9816 | 5276 | 9 | 4 | 06 | 293 |
| 315 | 5 | 9 | 2 | 9348 | 12270 | 9704 | 9 | 7 | 06 | 291 |
| 316 | 5 | 9 | 2 | 7224 | 12270 | 7748 | 9 | 7 | 06 | 293 |
| 317 | 3 | 7 | 1 | 31 | 7362 | 16668 | 9 | 1 | 06 | 292 |
| 318 | 6 | 5 | 2 | 9348 | 14724 | 10998 | 9 | 1 | 01 | 291 |
| 319 | 4 | 6 | 2 | 7178 | 10908 | 7304 | 9 | 7 | 01 | 293 |
| 320 | 3 | 8 | 1 | 6228 | 7362 | 5733 | 9 | 7 | 01 | 293 |
| 321 | 5 | 8 | 1 | 7328 | 12270 | 22359 | 9 | 1 | 01 | 292 |
| 322 | 8 | 7 | 2 | 8299 | 19632 | 24769 | 9 | 6 | 03 | 292 |
| 323 | 5 | 7 | 2 | 6200 | 12270 | 13403 | 8 | 1 | 01 | 293 |
| 324 | 7 | 8 | 1 | 6200 | 17178 | 13961 | 9 | 4 | 06 | 293 |
| 325 | 4 | 7 | 1 | 7178 | 9816 | 7718 | 7 | 7 | 03 | 293 |
| 326 | 7 | 4 | 1 | 8352 | 17178 | 17080 | 9 | 1 | 01 | 292 |
| 327 | 3 | 3 | 1 | 9348 | 7362 | 14889 | 9 | 7 | 01 | 291 |
| 328 | 6 | 9 | 1 | 9389 | 14724 | 17634 | 9 | 7 | 06 | 291 |
| 329 | 5 | 5 | 1 | 8352 | 12270 | 7398 | 9 | 7 | 01 | 292 |
| 330 | 2 | 4 | 2 | 7361 | 4908 | 3530 | 9 | 1 | 01 | 292 |
| 331 | 6 | 3 | 1 | 7328 | 16362 | 23076 | 9 | 1 | 01 | 292 |
| 332 | 4 | 7 | 2 | 9112 | 9816 | 6107 | 9 | 1 | 06 | 291 |
| 333 | 4 | 8 | 1 | 7307 | 11576 | 10013 | 9 | 1 | 06 | 292 |
| 334 | 12 | 7 | 1 | 8352 | 32724 | 10951 | 9 | 4 | 62 | 292 |
| 335 | 5 | 8 | 1 | 7224 | 12270 | 9561 | 9 | 7 | 06 | 293 |
| 336 | 9 | 7 | 1 | 8352 | 22086 | 10719 | 9 | 7 | 62 | 292 |
| 337 | 3 | 6 | 1 | 7111 | 7362 | 6079 | 9 | 1 | 06 | 291 |
| 338 | 9 | 5 | 2 | 8352 | 22086 | 26121 | 9 | 7 | 01 | 292 |
| 339 | 4 | 5 | 2 | 7328 | 9816 | 13562 | 9 | 1 | 01 | 292 |
| 340 | 4 | 3 | 1 | 7328 | 9816 | 12504 | 9 | 7 | 01 | 292 |
| 341 | 6 | 7 | 1 | 9314 | 14724 | 14311 | 9 | 1 | 06 | 291 |
| 342 | 18 | 6 | 2 | 9348 | 44172 | 44078 | 9 | 7 | 03 | 291 |
| 343 | 5 | 6 | 1 | 7328 | 12270 | 8970 | 9 | 1 | 01 | 292 |
| 344 | 21 | 7 | 1 | 38442 | 54534 | 165852 | 9 | 4 | 06 | 291 |
| 345 | 5 | 9 | 2 | 10306 | 10934 | 5263 | 9 | 4 | 50 | 291 |
| 346 | 3 | 4 | 1 | 7328 | 7362 | 8339 | 9 | 1 | 01 | 292 |
| 347 | 8 | 6 | 2 | 7555 | 19632 | 11634 | 9 | 7 | 03 | 292 |
| 348 | 10 | 5 | 1 | 9314 | 24540 | 23142 | 9 | 1 | 01 | 291 |
| 349 | 8 | 6 | 2 | 9389 | 19632 | 23894 | 9 | 7 | 06 | 291 |
| 350 | 1 | 4 | 2 | 10372 | 2454 | 8134 | 9 | 7 | 01 | 291 |
| 351 | 4 | 4 | 2 | 10209 | 11576 | 18696 | 9 | 7 | 06 | 291 |
| 352 | 9 | 9 | 1 | 10306 | 22905 | 16157 | 9 | 1 | 06 | 291 |
| 353 | 4 | 7 | 1 | 7307 | 9816 | 9596 | 9 | 1 | 06 | 292 |
| 354 | 6 | 7 | 1 | 7178 | 14724 | 12643 | 9 | 7 | 01 | 293 |
| 355 | 4 | 7 | 2 | 7361 | 10635 | 29103 | 9 | 7 | 06 | 292 |
| 356 | 26 | 2 | 2 | 20992 | 70902 | 94002 | 9 | 1 | 50 | 292 |
| 357 | 8 | 8 | 2 | 7328 | 19632 | 7407 | 9 | 7 | 07 | 292 |
| 358 | 5 | 9 | 1 | 9314 | 12270 | 7433 | 9 | 1 | 03 | 291 |
| 359 | 4 | 6 | 1 | 8385 | 9816 | 27877 | 4 | 1 | 01 | 292 |
| 360 | 5 | 7 | 2 | 6186 | 12270 | 14449 | 8 | 4 | 01 | 293 |
| 361 | 3 | 7 | 2 | 8096 | 7908 | 6675 | 9 | 5 | 06 | 292 |
| 362 | 2 | 8 | 1 | 5954 | 5454 | 7418 | 9 | 1 | 06 | 293 |
| 363 | 20 | 7 | 2 | 29308 | 76080 | 107910 | 9 | 7 | 51 | 291 |
| 364 | 2 | 7 | 1 | 7307 | 4908 | 7635 | 9 | 1 | 01 | 292 |
| 365 | 1 | 3 | 1 | 9314 | 2727 | 12252 | 9 | 7 | 07 | 291 |
| 366 | 14 | 3 | 1 | 6834 | 46359 | 24719 | 9 | 1 | 01 | 291 |
| 367 | 11 | 2 | 1 | 9314 | 28359 | 42020 | 9 | 7 | 06 | 291 |
| 368 | 3 | 4 | 1 | 9389 | 7362 | 17404 | 9 | 7 | 01 | 291 |
| 369 | 7 | 5 | 1 | 9314 | 17178 | 9520 | 9 | 1 | 01 | 291 |
| 370 | 3 | 5 | 2 | 7104 | 7362 | 36842 | 9 | 7 | 06 | 292 |
| 371 | 2 | 8 | 2 | 6200 | 4908 | 8601 | 9 | 7 | 01 | 293 |
| 372 | 15 | 6 | 1 | 9348 | 36810 | 17515 | 9 | 1 | 06 | 291 |
| 373 | 7 | 8 | 1 | 9348 | 29178 | 22667 | 9 | 7 | 03 | 291 |
| 374 | 3 | 8 | 1 | 10372 | 7362 | 11432 | 9 | 5 | 20 | 291 |
| 375 | 6 | 9 | 2 | 7307 | 14724 | 8867 | 9 | 1 | 06 | 292 |
| 376 | 5 | 9 | 2 | 9348 | 12270 | 8019 | 9 | 7 | 06 | 291 |
| 377 | 4 | 6 | 2 | 9314 | 10908 | 16195 | 9 | 1 | 50 | 291 |
| 378 | 6 | 4 | 1 | 10372 | 14724 | 37746 | 9 | 7 | 06 | 291 |
| 379 | 3 | 4 | 1 | 8135 | 7362 | 26073 | 9 | 1 | 06 | 291 |
| 380 | 18 | 8 | 2 | 10372 | 48540 | 50009 | 9 | 4 | 50 | 291 |
| 381 | 4 | 8 | 2 | 7328 | 9816 | 14916 | 9 | 7 | 06 | 292 |
| 382 | 20 | 5 | 2 | 10372 | 49080 | 20857 | 9 | 4 | 03 | 291 |
| 383 | 15 | 4 | 2 | 9314 | 36810 | 17626 | 9 | 1 | 06 | 291 |
| 384 | 2 | 7 | 1 | 5954 | 4908 | 4386 | 9 | 7 | 06 | 293 |
| 385 | 24 | 7 | 1 | 11539 | 58896 | 61342 | 9 | 4 | 62 | 291 |
| 386 | 15 | 4 | 1 | 8352 | 48810 | 51408 | 9 | 4 | 06 | 292 |
| 387 | 2 | 4 | 2 | 9348 | 4908 | 32164 | 7 | 7 | 50 | 291 |
| 388 | 12 | 7 | 2 | 7361 | 29448 | 29337 | 9 | 7 | 03 | 292 |
| 389 | 2 | 3 | 2 | 5088 | 4908 | 8346 | 8 | 4 | 06 | 292 |
| 390 | 13 | 6 | 1 | 9314 | 29787 | 40885 | 9 | 1 | 06 | 291 |
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Differential Equations and Linear Algebra
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
2nd edition
131860615, 978-0131860612
