Least Squares approximation for a, b and c is given by 0 1.40108 1 0.299191 2 -0.999894 The error in each equation is given by 0 0.00188962 1 0.00160078 2 0.00277674 3 -0.00201417 4 -0.00532461 5 0.000185867 6 0.00839476 7 0.012115 8 -0.0061339 9 -0.017565 10 0.00765787 11 -0.0027343 12 -0.00137498 13 0.00176658 14 -0.0109127 15 -0.00370154 16 0.00797727 17 0.00271686 18 0.00839981 19 0.00364186 20 -0.00715279 21 -0.00111379 22 -0.00244895 23 -0.00385373 24 -0.010586 25 -0.00703107 26 0.00423095 27 0.00882551 28 0.00568539 29 -0.00554527 30 -0.00743722 31 -0.000608668 32 0.00337247 33 0.00116476 34 0.000679108 35 -2.44763e-005 36 0.00436207 37 0.00805273 38 -0.00347953 39 -0.00216312 40 0.00616987 41 0.0140806 42 -0.00569959 43 -0.00384678 44 0.000766062 45 0.00518265 46 -0.0023974 47 0.00587874 48 0.00925981 49 0.00387166 50 0.0131284 51 -0.000634416 52 0.01336 53 -0.00636476 54 -0.0081696 55 -0.00109522 56 -0.00682002 57 0.012991 58 0.00396477 59 -0.00179884 60 0.00329955 61 0.000656944 62 -0.00145072 63 -0.0108463 64 -0.00180403 65 -0.00299505 66 0.00191695 67 -0.012036 68 0.00153023 69 -0.0073603 70 0.00810852 71 0.00322116 72 -0.00413619 73 0.00100148 74 0.0102894 75 0.00182642 76 0.00570659 77 0.00924072 78 -0.00471745 79 -0.00475025 80 -0.00977183 81 0.00483436 82 0.0139331 83 -0.000137525 84 -0.00302222 85 -0.00349728 86 -0.0087239 87 -0.00456176 88 -0.010108 89 -0.00521805 90 -0.000536393 91 -0.00332107 92 -0.000539598 93 0.00337201 94 -0.0023675 95 0.00996103 96 -0.00411663 97 -0.00989165 98 0.00901533 99 0.00543443 100 -0.00352695 101 -0.0097028 102 -0.00841232 103 0.00694985 104 0.0031348 105 0.00246812 106 0.0063286 107 -0.00476964 108 -0.00203566 109 -0.00965229 110 -0.00212899 111 0.00129661 112 0.00594894 113 0.00418573 114 0.00458309 115 0.0200823 116 -0.010014 117 -0.003298 118 -0.003937 119 -0.0104232 120 -0.000694534 121 -0.00356324 122 -0.00853758 123 -0.00192875 124 -0.00130396 125 -0.000472239 126 0.0126241 127 0.00143706 128 0.0117054 129 -0.00781989 130 -0.00683146 131 0.00149547 132 0.00370679 133 -0.00308507 134 -0.0142305 135 0.0142564 136 0.00230449 137 -0.00448758 138 -0.00775251 139 -0.0105755 140 -0.00182016 141 -0.0164993 142 0.014242 143 0.000263876 144 0.000191578 145 -0.00393945 146 0.00835927 147 0.0175897 148 -0.00738148 149 -0.000426835 150 0.00144473 151 -0.00785794 152 0.0106513 153 0.00627191 154 0.00201622 155 0.0047824 156 0.000585295 157 -0.00574376 158 0.00388536 159 -0.00169128 160 -0.0108935 161 -0.00494727 162 -0.00799877 163 0.00137048 164 0.00628107 165 0.00271481 166 0.0106096 167 0.00518981 168 0.00386908 169 -0.00459042 170 -0.00989523 171 -0.00299704 172 0.00436857 173 -0.00181679 174 0.000885398 175 -0.00881139 176 0.00336797 177 0.00201693 178 -0.00847769 179 -0.00549885 180 -0.00890258 181 -0.00157504 182 0.00335644 183 -0.00311031 184 -0.00924281 185 0.000993155 186 0.00534374 187 -0.000628175 188 -0.00891976 189 0.000726262 190 0.00158718 191 0.000600934 192 0.00213984 193 0.00325842 194 0.0105288 195 0.00172021 196 0.00638882 197 0.00918469 The solution using SVD = 1.40108 0.299191 -0.999894 The error in each equation is given by 0 0.00188962 1 0.00160078 2 0.00277674 3 -0.00201417 4 -0.00532461 5 0.000185867 6 0.00839476 7 0.012115 8 -0.0061339 9 -0.017565 10 0.00765787 11 -0.0027343 12 -0.00137498 13 0.00176658 14 -0.0109127 15 -0.00370154 16 0.00797727 17 0.00271686 18 0.00839981 19 0.00364186 20 -0.00715279 21 -0.00111379 22 -0.00244895 23 -0.00385373 24 -0.010586 25 -0.00703107 26 0.00423095 27 0.00882551 28 0.00568539 29 -0.00554527 30 -0.00743722 31 -0.000608668 32 0.00337247 33 0.00116476 34 0.000679108 35 -2.44763e-005 36 0.00436207 37 0.00805273 38 -0.00347953 39 -0.00216312 40 0.00616987 41 0.0140806 42 -0.00569959 43 -0.00384678 44 0.000766062 45 0.00518265 46 -0.0023974 47 0.00587874 48 0.00925981 49 0.00387166 50 0.0131284 51 -0.000634416 52 0.01336 53 -0.00636476 54 -0.0081696 55 -0.00109522 56 -0.00682002 57 0.012991 58 0.00396477 59 -0.00179884 60 0.00329955 61 0.000656944 62 -0.00145072 63 -0.0108463 64 -0.00180403 65 -0.00299505 66 0.00191695 67 -0.012036 68 0.00153023 69 -0.0073603 70 0.00810852 71 0.00322116 72 -0.00413619 73 0.00100148 74 0.0102894 75 0.00182642 76 0.00570659 77 0.00924072 78 -0.00471745 79 -0.00475025 80 -0.00977183 81 0.00483436 82 0.0139331 83 -0.000137525 84 -0.00302222 85 -0.00349728 86 -0.0087239 87 -0.00456176 88 -0.010108 89 -0.00521805 90 -0.000536393 91 -0.00332107 92 -0.000539598 93 0.00337201 94 -0.0023675 95 0.00996103 96 -0.00411663 97 -0.00989165 98 0.00901533 99 0.00543443 100 -0.00352695 101 -0.0097028 102 -0.00841232 103 0.00694985 104 0.0031348 105 0.00246812 106 0.0063286 107 -0.00476964 108 -0.00203566 109 -0.00965229 110 -0.00212899 111 0.00129661 112 0.00594894 113 0.00418573 114 0.00458309 115 0.0200823 116 -0.010014 117 -0.003298 118 -0.003937 119 -0.0104232 120 -0.000694534 121 -0.00356324 122 -0.00853758 123 -0.00192875 124 -0.00130396 125 -0.000472239 126 0.0126241 127 0.00143706 128 0.0117054 129 -0.00781989 130 -0.00683146 131 0.00149547 132 0.00370679 133 -0.00308507 134 -0.0142305 135 0.0142564 136 0.00230449 137 -0.00448758 138 -0.00775251 139 -0.0105755 140 -0.00182016 141 -0.0164993 142 0.014242 143 0.000263876 144 0.000191578 145 -0.00393945 146 0.00835927 147 0.0175897 148 -0.00738148 149 -0.000426835 150 0.00144473 151 -0.00785794 152 0.0106513 153 0.00627191 154 0.00201622 155 0.0047824 156 0.000585295 157 -0.00574376 158 0.00388536 159 -0.00169128 160 -0.0108935 161 -0.00494727 162 -0.00799877 163 0.00137048 164 0.00628107 165 0.00271481 166 0.0106096 167 0.00518981 168 0.00386908 169 -0.00459042 170 -0.00989523 171 -0.00299704 172 0.00436857 173 -0.00181679 174 0.000885398 175 -0.00881139 176 0.00336797 177 0.00201693 178 -0.00847769 179 -0.00549885 180 -0.00890258 181 -0.00157504 182 0.00335644 183 -0.00311031 184 -0.00924281 185 0.000993155 186 0.00534374 187 -0.000628175 188 -0.00891976 189 0.000726262 190 0.00158718 191 0.000600934 192 0.00213984 193 0.00325842 194 0.0105288 195 0.00172021 196 0.00638882 197 0.00918469 The difference between the two methods is given by 0 1.77636e-015 1 -5.55112e-017 2 -5.55112e-016 The sequence can be extrapolated using the coefficients to retrieve the predicted values Predicted Actual 1.52691 1.5264 -0.802081 -0.793814 1.21465 1.22997 -0.314112 -0.344299 1.66583 1.64695 have a nice day :) Press any key to continue