Zestaw | 51 | Uzupełnić tylko to co w kolorze żółtym, reszta sama się liczy ! Pamiętać o zmianie nazwiska w zakładce Zestawienie. | |||||||||||||
Nr | X [m] | Y [m] | ∆z [mm] | ||||||||||||
1 | 0.7 | 0.7 | 1.6 | ||||||||||||
2 | 0.3 | 10.2 | 26.6 | ||||||||||||
3 | 0.2 | 20.3 | 43.0 | ||||||||||||
4 | 0.7 | 30.2 | 74.4 | ||||||||||||
5 | 10.5 | 0.7 | -10.2 | ||||||||||||
6 | 10.1 | 10.4 | 7.6 | ||||||||||||
7 | 10.2 | 20.0 | 21.6 | ||||||||||||
8 | 10.8 | 30.3 | 81.4 | ||||||||||||
9 | 20.1 | 0.2 | -39.1 | ||||||||||||
10 | 20.6 | 10.2 | -40.0 | ||||||||||||
11 | 20.6 | 20.3 | -9.2 | ||||||||||||
12 | 20.8 | 30.1 | 33.4 | ||||||||||||
13 | 30.1 | 0.6 | -121.7 | ||||||||||||
14 | 30.0 | 10.4 | -103.7 | ||||||||||||
15 | 30.1 | 20.4 | -59.4 | ||||||||||||
16 | 30.5 | 30.1 | -23.0 | ||||||||||||
Model 1: | |||||||||||||||
A | L | Lśr | L' | L'L' | |||||||||||
1 | 0.7 | 0.7 | 1.6 | -7.294 | 8.894 | 79.099 | |||||||||
1 | 0.3 | 10.2 | 26.6 | 33.894 | 1148.786 | ||||||||||
1 | 0.2 | 20.3 | 43.0 | 50.294 | 2529.461 | ||||||||||
1 | 0.7 | 30.2 | 74.4 | 81.694 | 6673.869 | ||||||||||
1 | 10.5 | 0.7 | -10.2 | -2.906 | 8.446 | ||||||||||
1 | 10.1 | 10.4 | 7.6 | 14.894 | 221.824 | ||||||||||
1 | 10.2 | 20.0 | 21.6 | 28.894 | 834.849 | ||||||||||
1 | 10.8 | 30.3 | 81.4 | 88.694 | 7866.581 | ||||||||||
1 | 20.1 | 0.2 | -39.1 | -31.806 | 1011.638 | ||||||||||
1 | 20.6 | 10.2 | -40.0 | -32.706 | 1069.699 | ||||||||||
1 | 20.6 | 20.3 | -9.2 | -1.906 | 3.634 | ||||||||||
1 | 20.8 | 30.1 | 33.4 | 40.694 | 1655.981 | ||||||||||
1 | 30.1 | 0.6 | -121.7 | -114.406 | 13088.790 | ||||||||||
1 | 30.0 | 10.4 | -103.7 | -96.406 | 9294.165 | ||||||||||
1 | 30.1 | 20.4 | -59.4 | -52.106 | 2715.061 | ||||||||||
1 | 30.5 | 30.1 | -23.0 | -15.706 | 246.686 | ||||||||||
suma | 0.000 | 48448.569 | |||||||||||||
A^T | |||||||||||||||
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
0.7 | 0.3 | 0.2 | 0.7 | 10.5 | 10.1 | 10.2 | 10.8 | 20.1 | 20.6 | 20.6 | 20.8 | 30.1 | 30 | 30.1 | 30.5 |
0.7 | 10.2 | 20.3 | 30.2 | 0.7 | 10.4 | 20 | 30.3 | 0.2 | 10.2 | 20.3 | 30.1 | 0.6 | 10.4 | 20.4 | 30.1 |
A^T*A | (A^T*A)^-1 | ||||||||||||||
16 | 246.3 | 245.1 | 0.300474911367237 | -0.007734767580419 | -0.00776224123549 | ||||||||||
246.3 | 5761.69 | 3792.93 | -0.007734767580419 | 0.000507612608963 | -5.1762721371326E-06 | ||||||||||
245.1 | 3792.93 | 5708.27 | -0.00776224123549 | -5.17627213713277E-06 | 0.000511916669095 | ||||||||||
((A^T*A)^-1)*A^T | |||||||||||||||
0.2896270051961 | 0.218979620491109 | 0.141354460770698 | 0.060640888749134 | 0.213826282907998 | 0.141626449955909 | 0.06633545733716 | -0.018256487936643 | 0.143453634753726 | 0.061963838608612 | -0.016434797869841 | -0.09405171549373 | 0.063001062455344 | -0.01229542489442 | -0.090691314007366 | -0.16907896102379 |
-0.007383062144641 | -0.007635281773529 | -0.00773832338301 | -0.007535762172686 | -0.002408458576806 | -0.002661713460122 | -0.002660644411742 | -0.002409392449377 | 0.002467210605304 | 0.002669254188414 | 0.002616973839829 | 0.002667768894678 | 0.007541266186076 | 0.007439777458236 | 0.007438775997761 | 0.007591611201616 |
-0.00740752295762 | -0.002542244092361 | 0.002628631892714 | 0.007694018780687 | -0.007458250424564 | -0.002490588225486 | 0.002423294170614 | 0.007692930099012 | -0.007763900971628 | -0.002647322416745 | 0.002523035941116 | 0.007538784043821 | -0.007610897025361 | -0.002593596041015 | 0.002525053022723 | 0.007488574204091 |
X | V | VV | m0^2 | cov (X) | |||||||||||
7.53 | a0 | 5.26 | 27.69 | 346.86 | 104.223791738401 | -2.68290887175341 | -2.69243848103583 | ||||||||
-3.80 | a1 | 8.88 | 78.91 | -2.68290887175341 | 0.176072307000874 | -0.001795460082664 | |||||||||
2.85 | a2 | 21.68 | 469.84 | m0 | -2.69243848103582 | -0.001795460082664 | 0.177565228539099 | ||||||||
16.62 | 276.12 | 18.62 | |||||||||||||
-20.19 | 407.76 | 0.9 i 0.95 | |||||||||||||
-8.80 | 77.46 | błędy prametrów | a0 | 10.209 | 0.737 | nieistotny | |||||||||
4.20 | 17.68 | a1 | 0.420 | 9.060 | istotny | ||||||||||
-28.49 | 811.87 | a2 | 0.421 | 6.770 | istotny | ||||||||||
-29.21 | 853.46 | ||||||||||||||
-1.69 | 2.85 | ||||||||||||||
-3.68 | 13.51 | ||||||||||||||
-19.08 | 364.02 | ||||||||||||||
16.51 | 272.64 | ||||||||||||||
26.85 | 720.83 | ||||||||||||||
10.70 | 114.39 | ||||||||||||||
0.45 | 0.20 | ||||||||||||||
suma | 0.00 | 4509.2260 | |||||||||||||
R^2 | |||||||||||||||
0.906927571006411 | |||||||||||||||
delta Z | -6.70619529293978 | ||||||||||||||
1 | 15 | 15 | |||||||||||||
15 | |||||||||||||||
15 | |||||||||||||||
23.5935814465622 | -0.068756167980245 | -0.055891954189291 | |||||||||||||
V(delta Z) | 4.66089 | ||||||||||||||
t= | 1.7709 | alfa=0.1 | alfa=0.05 | 2.16 | |||||||||||
1-alfa/2=0.9 | 1.35 | alfa=0.2 |
Nr | X [m] | Y [m] | ∆z [mm] | ||||||||||||
1 | 0.7 | 0.7 | 1.6 | ||||||||||||
2 | 0.3 | 10.2 | 26.6 | ||||||||||||
3 | 0.2 | 20.3 | 43 | ||||||||||||
4 | 0.7 | 30.2 | 74.4 | ||||||||||||
5 | 10.5 | 0.7 | -10.2 | ||||||||||||
6 | 10.1 | 10.4 | 7.6 | ||||||||||||
7 | 10.2 | 20 | 21.6 | ||||||||||||
8 | 10.8 | 30.3 | 81.4 | ||||||||||||
9 | 20.1 | 0.2 | -39.1 | ||||||||||||
10 | 20.6 | 10.2 | -40 | ||||||||||||
11 | 20.6 | 20.3 | -9.2 | ||||||||||||
12 | 20.8 | 30.1 | 33.4 | ||||||||||||
13 | 30.1 | 0.6 | -121.7 | ||||||||||||
14 | 30 | 10.4 | -103.7 | ||||||||||||
15 | 30.1 | 20.4 | -59.4 | ||||||||||||
16 | 30.5 | 30.1 | -23 | ||||||||||||
a0 | a1 | a2 | a3 | a4 | a5 | ||||||||||
A | L | Lśr | L' | L'L' | |||||||||||
1.00 | 0.70 | 0.70 | 0.49 | 0.49 | 0.49 | 1.60 | -7.29375 | 8.894 | 79.099 | ||||||
1.00 | 0.30 | 10.20 | 0.09 | 104.04 | 3.06 | 26.60 | 33.894 | 1148.786 | |||||||
1.00 | 0.20 | 20.30 | 0.04 | 412.09 | 4.06 | 43.00 | 50.294 | 2529.461 | |||||||
1.00 | 0.70 | 30.20 | 0.49 | 912.04 | 21.14 | 74.40 | 81.694 | 6673.869 | |||||||
1.00 | 10.50 | 0.70 | 110.25 | 0.49 | 7.35 | -10.20 | -2.906 | 8.446 | |||||||
1.00 | 10.10 | 10.40 | 102.01 | 108.16 | 105.04 | 7.60 | 14.894 | 221.824 | |||||||
1.00 | 10.20 | 20.00 | 104.04 | 400.00 | 204.00 | 21.60 | 28.894 | 834.849 | |||||||
1.00 | 10.80 | 30.30 | 116.64 | 918.09 | 327.24 | 81.40 | 88.694 | 7866.581 | |||||||
1.00 | 20.10 | 0.20 | 404.01 | 0.04 | 4.02 | -39.10 | -31.806 | 1011.638 | |||||||
1.00 | 20.60 | 10.20 | 424.36 | 104.04 | 210.12 | -40.00 | -32.706 | 1069.699 | |||||||
1.00 | 20.60 | 20.30 | 424.36 | 412.09 | 418.18 | -9.20 | -1.906 | 3.634 | |||||||
1.00 | 20.80 | 30.10 | 432.64 | 906.01 | 626.08 | 33.40 | 40.694 | 1655.981 | |||||||
1.00 | 30.10 | 0.60 | 906.01 | 0.36 | 18.06 | -121.70 | -114.406 | 13088.790 | |||||||
1.00 | 30.00 | 10.40 | 900.00 | 108.16 | 312.00 | -103.70 | -96.406 | 9294.165 | |||||||
1.00 | 30.10 | 20.40 | 906.01 | 416.16 | 614.04 | -59.40 | -52.106 | 2715.061 | |||||||
1.00 | 30.50 | 30.10 | 930.25 | 906.01 | 918.05 | -23.00 | -15.706 | 246.686 | |||||||
suma = | 0.000 | 48448.569 | |||||||||||||
A^T*A | |||||||||||||||
16.000 | 246.300 | 245.100 | 5761.690 | 5708.270 | 3792.930 | ||||||||||
246.300 | 5761.690 | 3792.930 | 149027.139 | 88738.781 | 89202.923 | ||||||||||
245.100 | 3792.930 | 5708.270 | 89202.923 | 147497.109 | 88738.781 | ||||||||||
5761.690 | 149027.139 | 89202.923 | 4074628.375 | 2088810.770 | 2317551.631 | ||||||||||
5708.270 | 88738.781 | 147497.109 | 2088810.770 | 4034286.358 | 2297150.084 | ||||||||||
3792.930 | 89202.923 | 88738.781 | 2317551.631 | 2297150.084 | 2088810.770 | ||||||||||
(A^T*A)^-1 | |||||||||||||||
0.718120683484766 | -0.046287437125051 | -0.047894208533559 | 0.000747180486243 | 0.000793637575669 | 0.001005611872582 | ||||||||||
-0.046287437125051 | 0.00761139170633 | 0.001195438756202 | -0.000200139833774 | -6.17160929528221E-06 | -6.29370780281028E-05 | ||||||||||
-0.047894208533559 | 0.001195438756202 | 0.007804866249632 | -4.50886454331783E-06 | -0.000203438657926 | -6.6924641179569E-05 | ||||||||||
0.000747180486243 | -0.000200139833774 | -4.5088645433174E-06 | 6.5756072143961E-06 | 1.50599349518706E-07 | -7.95153355892865E-08 | ||||||||||
0.000793637575669 | -6.17160929528256E-06 | -0.000203438657926 | 1.50599349518709E-07 | 6.59458589672468E-06 | 4.5689641944153E-08 | ||||||||||
0.001005611872582 | -6.29370780281034E-05 | -6.69246411795684E-05 | -7.95153355892675E-08 | 4.56896419441357E-08 | 4.22158484644084E-06 | ||||||||||
((A^T*A)^-1)*A^T | |||||||||||||||
0.653441 | 0.301428 | 0.067774 | -0.015232 | 0.288733 | 0.020207 | -0.111559 | -0.088120 | 0.084107 | -0.112979 | -0.143003 | -0.014376 | -0.008468 | -0.096549 | -0.027454 | 0.202048 |
-0.040255 | -0.032663 | -0.023305 | -0.011915 | 0.011938 | 0.015325 | 0.019127 | 0.022531 | 0.025829 | 0.023903 | 0.020981 | 0.016429 | 0.001065 | -0.005943 | -0.015341 | -0.027708 |
-0.041729 | 0.010703 | 0.026677 | 0.001688 | -0.030967 | 0.015857 | 0.024899 | -0.007697 | -0.024404 | 0.019200 | 0.021436 | -0.016271 | -0.012596 | 0.022197 | 0.017465 | -0.026459 |
0.000607 | 0.000657 | 0.000678 | 0.000610 | -0.000633 | -0.000642 | -0.000656 | -0.000672 | -0.000620 | -0.000632 | -0.000648 | -0.000620 | 0.000676 | 0.000606 | 0.000602 | 0.000688 |
0.000650 | -0.000597 | -0.000620 | 0.000661 | 0.000607 | -0.000651 | -0.000675 | 0.000650 | 0.000690 | -0.000649 | -0.000663 | 0.000610 | 0.000625 | -0.000644 | -0.000633 | 0.000639 |
0.000917 | 0.000322 | -0.000330 | -0.000929 | 0.000320 | 0.000114 | -0.000104 | -0.000288 | -0.000288 | -0.000115 | 0.000101 | 0.000332 | -0.000925 | -0.000328 | 0.000285 | 0.000915 |
X | V | VV | m0^2 | cov (X) | |||||||||||
8.5627 | a0 | 6.90 | 47.61 | 55.60 | 39.9291230718764 | -2.57368547676308 | -2.66302557626745 | 0.041544913380478 | 0.044128031906252 | 0.055914278959386 | |||||
-0.1550 | a1 | -9.43 | 88.83 | -2.57368547676307 | 0.423210475870895 | 0.066469080085066 | -0.011128224319569 | -0.000343155339722 | -0.003499442910032 | ||||||
0.0860 | a2 | -2.13 | 4.52 | m0 | -2.66302557626746 | 0.066469080085067 | 0.433968095068372 | -0.000250702996592 | -0.011311646352387 | -0.003721160378271 | |||||
-0.1362 | a3 | 4.72 | 22.27 | 7.46 | 0.041544913380478 | -0.011128224319569 | -0.000250702996592 | 0.000365618531501 | 8.37366211525436E-06 | -4.42123126914994E-06 | |||||
0.0739 | a4 | 2.46 | 6.03 | 0.044128031906253 | -0.000343155339722 | -0.011311646352387 | 8.37366211525452E-06 | 0.000366673788869 | 2.54044672191474E-06 | ||||||
0.0333 | a5 | -2.11 | 4.46 | 0.055914278959386 | -0.003499442910032 | -0.003721160378271 | -4.42123126914888E-06 | 2.54044672191378E-06 | 0.000234729600147 | ||||||
9.30 | 86.43 | 0.9 | 0.95 | ||||||||||||
-9.02 | 81.30 | błędy prametrów | a0 | 6.32 | ok | 1.355 | nieistotny | nieistotny | |||||||
-10.34 | 107.00 | a1 | 0.65 | błąd większy | 0.238 | nieistotny | nieistotny | ||||||||
3.12 | 9.75 | a2 | 0.66 | błąd większy | 0.130 | nieistotny | nieistotny | ||||||||
2.90 | 8.40 | a3 | 0.02 | ok | 7.125 | istotny | istotny | ||||||||
3.43 | 11.74 | a4 | 0.02 | ok | 3.861 | istotny | istotny | ||||||||
2.84 | 8.05 | a5 | 0.02 | ok | 2.175 | istotny | nieistotny | ||||||||
4.28 | 18.29 | ||||||||||||||
-7.16 | 51.29 | A (15,15) | |||||||||||||
0.25 | 0.06 | R^2 | x | 15.00 | 1 | 15 | 15 | 225 | 225 | 225 | |||||
suma = | 0.00 | 556.02 | 0.98852 | y | 15.00 | ||||||||||
delta Z | 1.00 | ||||||||||||||
-6.76441726820539 | 1.40307278447856 | 1.40474236240287 | -0.045985529833919 | -0.045736716491556 | -3.78685514011712E-06 | ||||||||||
V (delta Z) | 3.84 | ||||||||||||||
alfa=0.1 | 1 - alfa = 0.9 | t = | 1.8125 | ||||||||||||
1 - alfa = 0.7 | t = | 1.0931 | |||||||||||||
1 - alfa = 0.8 | t = | 1.3722 | |||||||||||||
alfa=0.05 | 1 - alfa = 0.95 | t = | 2.2281 | ||||||||||||
alfa=0.2 | 1-alfa/2=0.90 | t= | 1.372 |
A | L | Lśr | L' | L'L' | |||||||||||
1.00 | 0.70 | 0.49 | 0.49 | 1.6 | -7.29375 | 8.89375 | 79.0987890625 | ||||||||
1.00 | 10.20 | 0.09 | 3.06 | 26.6 | 33.89375 | 1148.7862890625 | |||||||||
1.00 | 20.30 | 0.04 | 4.06 | 43 | 50.29375 | 2529.4612890625 | |||||||||
1.00 | 30.20 | 0.49 | 21.14 | 74.4 | 81.69375 | 6673.8687890625 | |||||||||
1.00 | 0.70 | 110.25 | 7.35 | -10.2 | -2.90625 | 8.44628906250001 | |||||||||
1.00 | 10.40 | 102.01 | 105.04 | 7.6 | 14.89375 | 221.8237890625 | |||||||||
1.00 | 20.00 | 104.04 | 204.00 | 21.6 | 28.89375 | 834.8487890625 | |||||||||
1.00 | 30.30 | 116.64 | 327.24 | 81.4 | 88.69375 | 7866.5812890625 | |||||||||
1.00 | 0.20 | 404.01 | 4.02 | -39.1 | -31.80625 | 1011.6375390625 | |||||||||
1.00 | 10.20 | 424.36 | 210.12 | -40 | -32.70625 | 1069.6987890625 | |||||||||
1.00 | 20.30 | 424.36 | 418.18 | -9.2 | -1.90625 | 3.63378906250001 | |||||||||
1.00 | 30.10 | 432.64 | 626.08 | 33.4 | 40.69375 | 1655.9812890625 | |||||||||
1.00 | 0.60 | 906.01 | 18.06 | -121.7 | -114.40625 | 13088.7900390625 | |||||||||
1.00 | 10.40 | 900.00 | 312.00 | -103.7 | -96.40625 | 9294.1650390625 | |||||||||
1.00 | 20.40 | 906.01 | 614.04 | -59.4 | -52.10625 | 2715.0612890625 | |||||||||
1.00 | 30.10 | 930.25 | 918.05 | -23 | -15.70625 | 246.6862890625 | |||||||||
suma = | 0 | 48448.569375 | |||||||||||||
A^T*A | |||||||||||||||
16 | 245.1 | 5761.69 | 3792.93 | ||||||||||||
245.1 | 5708.27 | 89202.923 | 88738.781 | ||||||||||||
5761.69 | 89202.923 | 4074628.3753 | 2317551.6309 | ||||||||||||
3792.93 | 88738.781 | 2317551.6309 | 2088810.7699 | ||||||||||||
(A^T*A)^-1 | |||||||||||||||
0.3499 | -0.0174 | -0.0005 | 0.0006 | ||||||||||||
-0.0174 | 0.0014 | 0.0000 | -0.0001 | ||||||||||||
-0.0005 | 0.0000 | 0.0000 | 0.0000 | ||||||||||||
0.0006 | -0.0001 | 0.0000 | 0.0000 | ||||||||||||
((A^T*A)^-1)*A^T | |||||||||||||||
0.337774760764342 | 0.174336021047833 | -0.000681082447777 | -0.162428377982118 | 0.290618663062203 | 0.186680956333837 | 0.080461831148993 | -0.02774692297071 | 0.15958368434304 | 0.104622871463799 | 0.058680784506345 | 0.013976701171698 | -0.073855232294247 | -0.058218565534783 | -0.046642714079485 | -0.037163378532968 |
-0.016430216628727 | -0.003324868424927 | 0.010717250507888 | 0.023573592295912 | -0.013906751511253 | -0.0061716985506 | 0.001623927818303 | 0.009288718033985 | -0.006610286341831 | -0.003898359186311 | -0.001699559437752 | 0.000309528196148 | 0.006481143878697 | 0.00318877651629 | 3.16013853962974E-05 | -0.003172798551218 |
-0.000450207203123 | -0.000202812900814 | 6.37036080218516E-05 | 0.000297673580921 | -0.000317995575562 | -0.000240561676808 | -0.000154503074818 | -7.80825736578736E-05 | 6.01906481505102E-05 | -4.89904419895742E-06 | -9.74502666850817E-05 | -0.000186822514678 | 0.00070556868912 | 0.00044820300604 | 0.000197883263751 | -3.98879656603194E-05 |
0.000584404210895 | 5.11725701958444E-05 | -0.00052279931916 | -0.001026682885914 | 0.000419421954577 | 0.00024040249123 | 5.39911926923887E-05 | -0.00010093158555 | -7.38103847548176E-05 | 8.16647465454803E-05 | 0.000273969646987 | 0.000468482369823 | -0.000915417028097 | -0.000377670785767 | 0.000157766134305 | 0.000686036671991 |
X | V | VV | m0^2 | cov (X) | |||||||||||
-0.85 | a0 | -0.84 | 0.70 | 115.492 | 40.4076 | -2.0087 | -0.0541 | 0.0720 | |||||||
2.38 | a3 | -3.11 | 9.65 | -2.0087 | 0.1612 | 0.0031 | -0.0066 | ||||||||
-0.14 | a4 | 4.55 | 20.72 | m0 | -0.0541 | 0.0031 | 0.0002 | -0.0002 | |||||||
0.03 | a5 | -2.82 | 7.95 | 10.75 | 0.0720 | -0.0066 | -0.0002 | 0.0004 | |||||||
-4.20 | 17.68 | ||||||||||||||
5.35 | 28.67 | a/ma | 0.9 | 0.95 | |||||||||||
17.08 | 291.59 | błędy prametrów | a0 | 6.36 | -0.134 | błąd większy | nieistotny | nieistotny | |||||||
-16.04 | 257.28 | a3 | 0.40 | 5.922 | ok | istotny | istotny | ||||||||
-17.78 | 316.24 | a4 | 0.01 | -11.385 | ok | istotny | istotny | ||||||||
10.66 | 113.65 | a5 | 0.02 | 1.552 | ok | nieistotny | nieistotny | ||||||||
10.56 | 111.47 | ||||||||||||||
-3.22 | 10.39 | R^2 | x | 15.00 | A (15,15) | ||||||||||
-4.16 | 17.28 | 0.97139 | y | 15.00 | 1 | 15 | 225 | 225 | |||||||
11.43 | 130.55 | ||||||||||||||
-0.24 | 0.06 | delta Z | 10.50 | ||||||||||||
-7.21 | 52.03 | 14.3020653524284 | -0.386257744619789 | -0.019049421539694 | 0.024015122687354 | ||||||||||
suma = | 0.00 | 1385.905 | |||||||||||||
V (delta Z) | 3.10 | ||||||||||||||
alfa=0.05 | 1-alfa=0.95 | t= | 2.179 | ||||||||||||
alfa=0.1 | 1 - alfa = 0.9 | t = | 1.7823 | ||||||||||||
alfa=0.2 | 1-alfa/2=0.9 | t= | 1.358 | estymacja przedzialowa |
A | L | Lśr | L' | L'L' | ||||||||||||||||||||
1.0 | 0.7 | 0.5 | 0.5 | 1.60 | -7.29 | 8.89 | 79.10 | |||||||||||||||||
1.0 | 10.2 | 0.1 | 3.1 | 26.60 | 33.89 | 1148.79 | ||||||||||||||||||
1.0 | 20.3 | 0.0 | 4.1 | 43.00 | 50.29 | 2529.46 | ||||||||||||||||||
1.0 | 30.2 | 0.5 | 21.1 | 74.40 | 81.69 | 6673.87 | ||||||||||||||||||
1.0 | 0.7 | 110.3 | 7.4 | -10.20 | -2.91 | 8.45 | ||||||||||||||||||
1.0 | 10.4 | 102.0 | 105.0 | 7.60 | 14.89 | 221.82 | ||||||||||||||||||
1.0 | 20.0 | 104.0 | 204.0 | 21.60 | 28.89 | 834.85 | ||||||||||||||||||
1.0 | 30.3 | 116.6 | 327.2 | 81.40 | 88.69 | 7866.58 | ||||||||||||||||||
1.0 | 0.2 | 404.0 | 4.0 | -39.10 | -31.81 | 1011.64 | ||||||||||||||||||
1.0 | 10.2 | 424.4 | 210.1 | -40.00 | -32.71 | 1069.70 | ||||||||||||||||||
1.0 | 20.3 | 424.4 | 418.2 | -9.20 | -1.91 | 3.63 | ||||||||||||||||||
1.0 | 30.1 | 432.6 | 626.1 | 33.40 | 40.69 | 1655.98 | ||||||||||||||||||
1.0 | 0.6 | 906.0 | 18.1 | -121.70 | -114.41 | 13088.79 | ||||||||||||||||||
1.0 | 10.4 | 900.0 | 312.0 | -103.70 | -96.41 | 9294.17 | ||||||||||||||||||
1.0 | 20.4 | 906.0 | 614.0 | -59.40 | -52.11 | 2715.06 | ||||||||||||||||||
1.0 | 30.1 | 930.3 | 918.1 | -23.00 | -15.71 | 246.69 | ||||||||||||||||||
suma = | 0.00 | 48448.57 | ||||||||||||||||||||||
a0 | a1 | a2 | a3 | a4 | a5 | a6 | a7 | |||||||||||||||||
A | AT | |||||||||||||||||||||||
1.00 | 0.70 | 0.70 | 0.49 | 0.49 | 0.49 | 0.34 | 0.34 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | |
1.00 | 0.30 | 10.20 | 0.09 | 104.04 | 3.06 | 0.03 | 1061.21 | 0.7 | 0.3 | 0.2 | 0.7 | 10.5 | 10.1 | 10.2 | 10.8 | 20.1 | 20.6 | 20.6 | 20.8 | 30.1 | 30 | 30.1 | 30.5 | |
1.00 | 0.20 | 20.30 | 0.04 | 412.09 | 4.06 | 0.01 | 8365.43 | 0.7 | 10.2 | 20.3 | 30.2 | 0.7 | 10.4 | 20 | 30.3 | 0.2 | 10.2 | 20.3 | 30.1 | 0.6 | 10.4 | 20.4 | 30.1 | |
1.00 | 0.70 | 30.20 | 0.49 | 912.04 | 21.14 | 0.34 | 27543.61 | 0.49 | 0.09 | 0.04 | 0.49 | 110.25 | 102.01 | 104.04 | 116.64 | 404.01 | 424.36 | 424.36 | 432.64 | 906.01 | 900 | 906.01 | 930.25 | |
1.00 | 10.50 | 0.70 | 110.25 | 0.49 | 7.35 | 1157.63 | 0.34 | 0.49 | 104.04 | 412.09 | 912.04 | 0.49 | 108.16 | 400 | 918.09 | 0.04 | 104.04 | 412.09 | 906.01 | 0.36 | 108.16 | 416.16 | 906.01 | |
1.00 | 10.10 | 10.40 | 102.01 | 108.16 | 105.04 | 1030.30 | 1124.86 | 0.49 | 3.06 | 4.06 | 21.14 | 7.35 | 105.04 | 204 | 327.24 | 4.02 | 210.12 | 418.18 | 626.08 | 18.06 | 312 | 614.04 | 918.05 | |
1.00 | 10.20 | 20.00 | 104.04 | 400.00 | 204.00 | 1061.21 | 8000.00 | 0.343 | 0.027 | 0.008 | 0.343 | 1157.625 | 1030.301 | 1061.208 | 1259.712 | 8120.601 | 8741.816 | 8741.816 | 8998.912 | 27270.901 | 27000 | 27270.901 | 28372.625 | |
1.00 | 10.80 | 30.30 | 116.64 | 918.09 | 327.24 | 1259.71 | 27818.13 | 0.343 | 1061.208 | 8365.427 | 27543.608 | 0.343 | 1124.864 | 8000 | 27818.127 | 0.008 | 1061.208 | 8365.427 | 27270.901 | 0.216 | 1124.864 | 8489.664 | 27270.901 | |
1.00 | 20.10 | 0.20 | 404.01 | 0.04 | 4.02 | 8120.60 | 0.01 | |||||||||||||||||
1.00 | 20.60 | 10.20 | 424.36 | 104.04 | 210.12 | 8741.82 | 1061.21 | |||||||||||||||||
1.00 | 20.60 | 20.30 | 424.36 | 412.09 | 418.18 | 8741.82 | 8365.43 | |||||||||||||||||
1.00 | 20.80 | 30.10 | 432.64 | 906.01 | 626.08 | 8998.91 | 27270.90 | |||||||||||||||||
1.00 | 30.10 | 0.60 | 906.01 | 0.36 | 18.06 | 27270.90 | 0.22 | |||||||||||||||||
1.00 | 30.00 | 10.40 | 900.00 | 108.16 | 312.00 | 27000.00 | 1124.86 | |||||||||||||||||
1.00 | 30.10 | 20.40 | 906.01 | 416.16 | 614.04 | 27270.90 | 8489.66 | |||||||||||||||||
1.00 | 30.50 | 30.10 | 930.25 | 906.01 | 918.05 | 28372.63 | 27270.90 | |||||||||||||||||
A^T*A | ||||||||||||||||||||||||
16.00 | 246.30 | 245.10 | 5761.69 | 5708.27 | 3792.93 | 149027.14 | 147497.11 | |||||||||||||||||
246.30 | 5761.69 | 3792.93 | 149027.14 | 88738.78 | 89202.92 | 4074628.38 | 2297150.08 | |||||||||||||||||
245.10 | 3792.93 | 5708.27 | 89202.92 | 147497.11 | 88738.78 | 2317551.63 | 4034286.36 | |||||||||||||||||
5761.69 | 149027.14 | 89202.92 | 4074628.38 | 2088810.77 | 2317551.63 | 115192570.20 | 54077560.29 | |||||||||||||||||
5708.27 | 88738.78 | 147497.11 | 2088810.77 | 4034286.36 | 2297150.08 | 54343756.12 | 114167657.84 | |||||||||||||||||
3792.93 | 89202.92 | 88738.78 | 2317551.63 | 2297150.08 | 2088810.77 | 63614045.02 | 62867851.52 | |||||||||||||||||
149027.14 | 4074628.38 | 2317551.63 | 115192570.20 | 54343756.12 | 63614045.02 | 3326287856.60 | 1408160845.48 | |||||||||||||||||
147497.109 | 2297150.0841 | 4034286.3575 | 54077560.29083 | 114167657.83821 | 62867851.51901 | 1408160845.48077 | 3300720709.92449 | |||||||||||||||||
(A^T*A)^-1 | ||||||||||||||||||||||||
0.81750018157172 | -0.087356619322787 | -0.092547652714117 | 0.004437874875875 | 0.004782690202926 | 0.001027407542038 | -8.01467877425598E-05 | -8.61306549070089E-05 | |||||||||||||||||
-0.087356619322797 | 0.044297415987979 | 0.000772481530975 | -0.003524358480605 | 8.25404122408563E-05 | -7.66695845842814E-05 | 7.22807023960495E-05 | -2.35915628908849E-06 | |||||||||||||||||
-0.092547652714115 | 0.000772481530967 | 0.045942851457766 | 5.97533446807626E-05 | -0.003659205670965 | -7.21933968268281E-05 | -1.4838606909387E-06 | 7.5040935690543E-05 | |||||||||||||||||
0.004437874875876 | -0.003524358480605 | 5.9753344680012E-05 | 0.000307809579108 | -1.02376407969933E-05 | 1.16113243602455E-06 | -6.54998997125933E-06 | 2.64791405545624E-07 | |||||||||||||||||
0.004782690202926 | 8.25404122415426E-05 | -0.003659205670966 | -1.02376407970591E-05 | 0.000319798475569 | 5.04159440548782E-07 | 2.33720925142795E-07 | -6.801722267155E-06 | |||||||||||||||||
0.001027407542038 | -7.6669584584282E-05 | -7.21933968268154E-05 | 1.16113243602463E-06 | 5.04159440547621E-07 | 4.22749764927742E-06 | -2.69639118541114E-08 | -9.79281432064461E-09 | |||||||||||||||||
-8.0146787742579E-05 | 7.22807023960494E-05 | -1.48386069092224E-06 | -6.54998997125933E-06 | 2.33720925141352E-07 | -2.69639118541094E-08 | 1.42422275765133E-07 | -5.92782212246737E-09 | |||||||||||||||||
-8.61306549070085E-05 | -2.35915628910299E-06 | 7.5040935690544E-05 | 2.64791405547021E-07 | -6.80172226715502E-06 | -9.79281432066987E-09 | -5.92782212249805E-09 | 1.47715358528896E-07 | |||||||||||||||||
(A^T*A)^-1*AT | ||||||||||||||||||||||||
0.69653166456727 | 0.257036798625 | 0.17603875568918 | -0.025066323005796 | 0.241833522506049 | -0.128835573722336 | -0.114204319553485 | -0.182317933445937 | 0.189549143435828 | -0.121336701859098 | 0.001884969882036 | 0.041110350921626 | -0.012120604916047 | -0.194608214637585 | 0.025191088586112 | 0.149313376927142 | |||||||||
-0.057507766919159 | -0.060653983561266 | -0.048988706891047 | -0.026041942745683 | 0.072896525411916 | 0.081252629274065 | 0.088459577008725 | 0.079496221687057 | -0.034042316236063 | -0.040708566637416 | -0.040663597143106 | -0.054604617804512 | 0.023159495347471 | 0.011608931005522 | 0.0070534594099 | -0.000715341206417 | |||||||||
-0.061620795949601 | 0.075015885831924 | -0.040216594160715 | 0.023525976614031 | -0.049704441804323 | 0.078674648756865 | -0.039251494612967 | 0.01735751759956 | -0.056177080830936 | 0.088128850645726 | -0.041971786466898 | 0.00485650360083 | -0.030664255889631 | 0.088253041836027 | -0.04846321423795 | -0.00774276093195 | |||||||||
0.002156874662286 | 0.003237005134452 | 0.00295923403498 | 0.001904674099317 | -0.006168879170188 | -0.006573000604078 | -0.006981761937232 | -0.005815967743375 | 0.004782773394449 | 0.005268691907534 | 0.004894175071351 | 0.00583040417042 | -0.001337692977315 | -0.00093972837363 | -0.001471443218592 | -0.001745358450379 | |||||||||
0.002428703544523 | -0.006462026552044 | 0.005405405113342 | -0.001336791312166 | 0.002387855684059 | -0.006251581937422 | 0.005231851971748 | -0.001541912819537 | 0.003486520721 | -0.006982449778266 | 0.004997119740762 | -0.001401372379229 | 0.002292771880163 | -0.006604559799684 | 0.005370307182594 | -0.001019841259843 | |||||||||
0.000926078314361 | 0.000323134471025 | -0.00031040446989 | -0.000926488607471 | 0.000299958065649 | 8.04702390713615E-05 | -0.000120569475478 | -0.000312763852254 | -0.000260929212974 | -0.000100991602188 | 0.000133205706006 | 0.000355831758509 | -0.000930467574732 | -0.000344004182752 | 0.000286101124545 | 0.000901839298572 | |||||||||
-3.36503651007968E-05 | -5.62404465446453E-05 | -4.94580601848485E-05 | -2.82043265421719E-05 | 0.000120411382842 | 0.000128808463705 | 0.000137683019748 | 0.000111796303812 | -0.000117407508519 | -0.000128464096961 | -0.000120361581425 | -0.000140299640211 | 4.38352975643266E-05 | 3.34511255393546E-05 | 4.5242126709092E-05 | 5.28583055691263E-05 | |||||||||
-3.84126708022174E-05 | 0.000127678382932 | -0.000130520386759 | 4.35460423593549E-05 | -3.93962383103943E-05 | 0.000120828299398 | -0.000129080862423 | 4.69155360723174E-05 | -6.00108659619847E-05 | 0.000138283089537 | -0.000122166168974 | 4.451790479491E-05 | -3.64636584286447E-05 | 0.000129211505859 | -0.000130623716885 | 3.56938075913304E-05 | |||||||||
X | V | VV | m0^2 | cov (X) | ||||||||||||||||||||
8.42624790378179 | a0 | 6.83224429072913 | 46.6795620479947 | 34.4345159477136 | 28.1502230395923 | -3.00808290120887 | -3.18683362330771 | 0.152816073187262 | 0.164689622065644 | 0.035378281391112 | -0.002759815840679 | -0.002965867409982 | ||||||||||||
-0.408919875285653 | a1 | -8.63495221652376 | 74.5623997816486 | -3.00808290120921 | 1.52536007728055 | 0.026600027597682 | -0.121359578305842 | 0.002842239141639 | -0.002640080033072 | 0.002488950999369 | -8.12364048597666E-05 | |||||||||||||
0.444346107668217 | a2 | -2.57423901620719 | 6.62670651256338 | m0 | -3.18683362330764 | 0.026600027597411 | 1.58201985120589 | 0.002057577500339 | -0.126002976032825 | -0.002485944674353 | -5.10960246263139E-05 | 0.002583998296767 | ||||||||||||
-0.112998904841607 | a3 | 5.01908152359367 | 25.1911793404793 | 5.87 | 0.152816073187295 | -0.121359578305842 | 0.002057577500313 | 0.010599273860643 | -0.000352528205291 | 3.99830333856948E-05 | -0.000225545734123 | 9.1179638770783E-06 | ||||||||||||
0.041117621613045 | a4 | 1.86505801347696 | 3.47844139363464 | 0.16468962206564 | 0.002842239141662 | -0.126002976032826 | -0.000352528205293 | 0.011012105707038 | 1.73604862957674E-05 | 8.04806692414397E-06 | -0.00023421401388 | |||||||||||||
0.033363392419592 | a5 | -1.97457861656462 | 3.89896071299424 | 0.035378281391111 | -0.002640080033072 | -0.002485944674353 | 3.99830333856977E-05 | 1.73604862957274E-05 | 0.000145571835223 | -9.28489252753144E-07 | -3.37210820897235E-07 | |||||||||||||
-0.000506259127884 | a6 | 8.22620918502512 | 67.6705175557917 | -0.00275981584068 | 0.002488950999369 | -5.10960246257474E-05 | -0.000225545734123 | 8.04806692409429E-06 | -9.28489252753074E-07 | 4.90424212614416E-06 | -2.04121685411313E-07 | |||||||||||||
0.00071556168166 | a7 | -9.17123314731819 | 84.1115174424679 | -0.002965867409982 | -8.1236404860266E-05 | 0.002583998296767 | 9.11796387712641E-06 | -0.00023421401388 | -3.37210820898105E-07 | -2.04121685412369E-07 | 5.08650686898552E-06 | |||||||||||||
-10.2322170262567 | 104.698265272417 | |||||||||||||||||||||||
4.20454251713979 | 17.6781777784362 | a/ma | 0.9 | 0.95 | ||||||||||||||||||||
2.72692820016301 | 7.43613740884426 | Błędy parametrów | a0 | 5.31 | 1.588 | ok | nieistotny | nieistotny | ||||||||||||||||
4.10704567059761 | 16.8678241403745 | a1 | 1.24 | -0.331 | błąd większy | nieistotny | nieistotny | |||||||||||||||||
2.5175867620591 | 6.33824310449521 | a2 | 1.26 | 0.353 | błąd większy | nieistotny | nieistotny | |||||||||||||||||
4.77341031869433 | 22.7854460706175 | a3 | 0.10 | -1.098 | ok | nieistotny | nieistotny | |||||||||||||||||
-7.92901493792966 | 62.8692778859117 | a4 | 0.10 | 0.392 | błąd większy | nieistotny | nieistotny | |||||||||||||||||
0.244128479579636 | 0.059598714541865 | a5 | 0.01 | 2.765 | ok | istotny | istotny | |||||||||||||||||
Suma: | 550.952255163419 | a6 | 0.00 | -0.229 | błąd większy | nieistotny | nieistotny | |||||||||||||||||
a7 | 0.00 | 0.317 | błąd większy | nieistotny | nieistotny | |||||||||||||||||||
1-alfa=0.95 | t= | 2.306 | ||||||||||||||||||||||
1 - alfa = 0.9 | t = | 1.860 |
Zestawienie wyników: APROKSYMACJA | ||||||||||||||||||||||||||
Zestaw nr: | 51 | Zaawansowane metody opracowania wyników obserwacji | ||||||||||||||||||||||||
Ewelina Barszczak | Specjalność: GNiK | Kierunek: GiK | ||||||||||||||||||||||||
Model 1: | ||||||||||||||||||||||||||
Model 2: | ||||||||||||||||||||||||||
Model 3: | ||||||||||||||||||||||||||
Model 1 | Model 2 | Model 3 | ||||||||||||||||||||||||
Odchylenie standardowe (δ₀) | 18.62 | Odchylenie standardowe (δ₀) | 7.46 | Odchylenie standardowe (δ₀) | 10.75 | |||||||||||||||||||||
Wsp. korelacji wielorakiej . | 0.91 | Wsp. korelacji wielorakiej | 0.99 | Wsp. Korelacji wielorakiej | 0.97 | |||||||||||||||||||||
Parametry modelu | Odchylenie standard. parametrów | Wartość odchylenia standardowego na poziomie 1-α=0.90 | Parametry modelu | Odchylenie standard. parametrów | Wartość odchylenia standardowego na poziomie 1-α=0.90 | Parametry modelu | Odchylenie standard. parametrów | Wartość odchylenia standardowego na poziomie 1-α=0.90 | ||||||||||||||||||
7.53 | 10.21 | 18.08 | 8.56 | 6.32 | 11.45 | -0.85 | 6.36 | 11.33 | ||||||||||||||||||
-3.80 | 0.42 | 0.74 | -0.16 | 0.65 | 1.18 | |||||||||||||||||||||
2.85 | 0.42 | 0.75 | 0.09 | 0.66 | 1.19 | |||||||||||||||||||||
-0.14 | 0.02 | 0.03 | 2.38 | 0.40 | 0.72 | |||||||||||||||||||||
0.07 | 0.02 | 0.03 | -0.14 | 0.01 | 0.02 | |||||||||||||||||||||
0.03 | 0.02 | 0.03 | 0.03 | 0.02 | 0.04 | |||||||||||||||||||||
∆z(15,15) | -6.71 | ∆z(15,15) | 1.00 | ∆z(15,15) | 10.50 | |||||||||||||||||||||
σ∆z(15,15) | 4.66 | σ∆z(15,15) | 3.84 | σ∆z(15,15) | 3.10 | |||||||||||||||||||||
Model 1 | Model 2 | Model 3 | -3.50 | -0.86 | -3.78 | |||||||||||||||||||||
δ1 | -5.26 | -6.90 | 0.84 | -5.31 | 7.69 | 7.37 | ||||||||||||||||||||
δ2 | -8.88 | 9.43 | 3.11 | -16.91 | 4.25 | 4.34 | ||||||||||||||||||||
δ3 | -21.68 | 2.13 | -4.55 | -32.82 | -2.20 | -3.94 | ||||||||||||||||||||
δ4 | -16.62 | -4.72 | 2.82 | 14.48 | -5.63 | -6.13 | ||||||||||||||||||||
δ5 | 20.19 | -2.46 | 4.20 | 4.40 | -14.09 | -12.31 | ||||||||||||||||||||
δ6 | 8.80 | 2.11 | -5.35 | 15.86 | -0.24 | 1.68 | ||||||||||||||||||||
δ7 | -4.20 | -9.30 | -17.08 | 4.55 | -6.83 | -6.99 | ||||||||||||||||||||
δ8 | 28.49 | 9.02 | 16.04 | 17.11 | 5.25 | 5.37 | ||||||||||||||||||||
δ9 | 29.21 | 10.34 | 17.78 | 29.84 | 14.15 | 16.29 | ||||||||||||||||||||
δ10 | 1.69 | -3.12 | -10.66 | 16.60 | -3.25 | -1.18 | ||||||||||||||||||||
δ11 | 3.68 | -2.90 | -10.56 | 31.25 | 10.74 | 10.44 | ||||||||||||||||||||
δ12 | 19.08 | -3.43 | 3.22 | -33.54 | -3.31 | -4.37 | ||||||||||||||||||||
δ13 | -16.51 | -2.84 | 4.16 | -15.26 | 5.63 | 6.39 | ||||||||||||||||||||
δ14 | -26.85 | -4.28 | -11.43 | -25.62 | -13.92 | -13.52 | ||||||||||||||||||||
δ15 | -10.70 | 7.16 | 0.24 | -1.13 | 2.60 | 0.33 | ||||||||||||||||||||
δ16 | -0.45 | -0.25 | 7.21 | 0.00 | 0.00 | 0.00 | ||||||||||||||||||||
∑δ | 0.00 | 0.00 | 0.00 | |||||||||||||||||||||||
-3.50221182534591 | -5.30598586187734 | -16.9061713210149 | -32.822411704786 | 14.4837247359498 | 4.39592374924731 | 15.8648792165103 | 4.5547901315544 | 17.1103421218587 | 29.8360333383684 | 16.5976479012344 | 31.2456272159976 | -33.5371638165851 | -15.2620570505069 | -25.6214798102266 | -1.13148702037795 | 1.24344978758018E-13 | ||||||||||
Weryfikacja statystyczna hipotez o istotności parametrów modelu 2, dla: | -0.856539328783522 | 7.69250390197842 | 4.25075026022608 | -2.20058483502746 | -5.62828381888193 | -14.0895061572556 | -0.243300894140361 | -6.82706791177495 | 5.25389784086261 | 14.1508241063638 | -3.24625052122473 | 10.7352798253405 | -3.31069040684932 | 5.63398115083918 | -13.9163502799111 | 2.60133706824212 | 3.72502029222233E-12 | |||||||||
-3.77985346920145 | 7.37332724377741 | 4.33871638124182 | -3.93760807403988 | -6.13394332007043 | -12.3116996890335 | 1.67646461697463 | -6.98924736258385 | 5.36662509623806 | 16.294243014022 | -1.17763976292491 | 10.4390886668291 | -4.36761996598801 | 6.39086790369868 | -13.5156430106773 | 0.333921731738119 | 4.81392703477468E-13 | ||||||||||
1 - α = 0.70 | 1 - α = 0.80 | 1 - α = 0.95 | ||||||||||||||||||||||||
t = | 1.0931 | 1.3722 | 2.2281 | |||||||||||||||||||||||
Wartość parametru | Odch. stand. parametru | Weryfikacja | Weryfikacja | Weryfikacja | ||||||||||||||||||||||
8.56 | 6.32 | istotny | nieistotny | nieistotny | ||||||||||||||||||||||
-0.16 | 0.65 | -0.24 | nieistotny | nieistotny | nieistotny | |||||||||||||||||||||
0.09 | 0.66 | 0.13 | nieistotny | nieistotny | nieistotny | |||||||||||||||||||||
-0.14 | 0.02 | -7.13 | istotny | istotny | istotny | |||||||||||||||||||||
0.07 | 0.02 | 3.86 | istotny | istotny | istotny | |||||||||||||||||||||
0.03 | 0.02 | 2.17 | istotny | istotny | nieistotny | |||||||||||||||||||||
1 - α = 0.80 | 1 - α = 0.95 | |||||||||||||||||||||||||
t = | 1.3722 | t = | 2.2281 | |||||||||||||||||||||||
Wartość parametru | Decyzja | Wartość parametru | Decyzja | |||||||||||||||||||||||
8.56 | 1.36 | nieistotny | 8.56 | 1.36 | nieistotny | |||||||||||||||||||||
-0.16 | -0.24 | nieistotny | -0.16 | -0.24 | nieistotny | |||||||||||||||||||||
0.09 | 0.13 | nieistotny | 0.09 | 0.13 | nieistotny | |||||||||||||||||||||
-0.14 | -7.13 | istotny | -0.14 | -7.13 | istotny | |||||||||||||||||||||
0.07 | 3.86 | istotny | 0.07 | 3.86 | istotny | |||||||||||||||||||||
0.03 | 2.17 | istotny | 0.03 | 2.17 | nieistotny |
Model 1 | Punkty pierwotne | |||||||||||
Nr | X [m] | Y [m] | ∆z [mm] | a0 | 7.53 | Nr | X [m] | Y [m] | ∆z [mm] | |||
1 | 0.70 | 0.70 | 6.86 | a1 | -3.80 | 1 | 0.7 | 0.7 | 1.6 | |||
2 | 0.30 | 10.20 | 35.48 | a2 | 2.85 | 2 | 0.3 | 10.2 | 26.6 | |||
3 | 0.20 | 20.30 | 64.68 | 3 | 0.2 | 20.3 | 43 | |||||
4 | 0.70 | 30.20 | 91.02 | 4 | 0.7 | 30.2 | 74.4 | |||||
5 | 10.50 | 0.70 | -30.39 | 5 | 10.5 | 0.7 | -10.2 | |||||
6 | 10.10 | 10.40 | -1.20 | To co na zielono, trzeba zapisać w pliku tekstowym, każdy model oddzielnie. Trzeba pamiętać, żeby zamienić , na . | 6 | 10.1 | 10.4 | 7.6 | ||||
7 | 10.20 | 20.00 | 25.80 | 7 | 10.2 | 20 | 21.6 | |||||
8 | 10.80 | 30.30 | 52.91 | 8 | 10.8 | 30.3 | 81.4 | |||||
9 | 20.10 | 0.20 | -68.31 | 9 | 20.1 | 0.2 | -39.1 | |||||
10 | 20.60 | 10.20 | -41.69 | 10 | 20.6 | 10.2 | -40 | |||||
11 | 20.60 | 20.30 | -12.88 | 11 | 20.6 | 20.3 | -9.2 | |||||
12 | 20.80 | 30.10 | 14.32 | 12 | 20.8 | 30.1 | 33.4 | |||||
13 | 30.10 | 0.60 | -105.19 | 13 | 30.1 | 0.6 | -121.7 | |||||
14 | 30.00 | 10.40 | -76.85 | 14 | 30 | 10.4 | -103.7 | |||||
15 | 30.10 | 20.40 | -48.70 | 15 | 30.1 | 20.4 | -59.4 | |||||
16 | 30.50 | 30.10 | -22.55 | 16 | 30.5 | 30.1 | -23 | |||||
Model 2 | ||||||||||||
Nr | X [m] | Y [m] | ∆z [mm] | a0 | 8.56269 | |||||||
1 | 0.7 | 0.7 | 8.50 | a1 | -0.15505 | |||||||
2 | 0.3 | 10.2 | 17.17 | a2 | 0.08596 | |||||||
3 | 0.2 | 20.3 | 40.87 | a3 | -0.13624 | |||||||
4 | 0.7 | 30.2 | 79.12 | a4 | 0.07393 | |||||||
5 | 10.5 | 0.7 | -7.74 | a5 | 0.03332 | |||||||
6 | 10.1 | 10.4 | 5.49 | |||||||||
7 | 10.2 | 20 | 30.90 | |||||||||
8 | 10.8 | 30.3 | 72.38 | |||||||||
9 | 20.1 | 0.2 | -49.44 | |||||||||
10 | 20.6 | 10.2 | -36.88 | |||||||||
11 | 20.6 | 20.3 | -6.30 | |||||||||
12 | 20.8 | 30.1 | 36.83 | |||||||||
13 | 30.1 | 0.6 | -118.86 | |||||||||
14 | 30 | 10.4 | -99.42 | |||||||||
15 | 30.1 | 20.4 | -66.56 | |||||||||
16 | 30.5 | 30.1 | -22.75 | |||||||||
Model 3 | a0 | -0.85 | ||||||||||
Nr | X [m] | Y [m] | ∆z [mm] | a2 | 2.38 | |||||||
1 | 0.7 | 0.7 | 0.76 | a3 | -0.14 | |||||||
2 | 0.3 | 10.2 | 23.49 | a5 | 0.03 | |||||||
3 | 0.2 | 20.3 | 47.55 | |||||||||
4 | 0.7 | 30.2 | 71.58 | |||||||||
5 | 10.5 | 0.7 | -14.40 | |||||||||
6 | 10.1 | 10.4 | 12.95 | |||||||||
7 | 10.2 | 20.0 | 38.68 | |||||||||
8 | 10.8 | 30.3 | 65.36 | |||||||||
9 | 20.1 | 0.2 | -56.88 | |||||||||
10 | 20.6 | 10.2 | -29.34 | |||||||||
11 | 20.6 | 20.3 | 1.36 | |||||||||
12 | 20.8 | 30.1 | 30.18 | |||||||||
13 | 30.1 | 0.6 | -125.86 | |||||||||
14 | 30.0 | 10.4 | -92.27 | |||||||||
15 | 30.1 | 20.4 | -59.64 | |||||||||
16 | 30.5 | 30.1 | -30.21 |
A | L | Lśr | L' | L'L' | ||||||||||||||||||||
1.0 | 0.7 | 0.5 | 0.5 | 1.60 | -7.29 | 8.89 | 79.10 | |||||||||||||||||
1.0 | 10.2 | 0.1 | 3.1 | 26.60 | 33.89 | 1148.79 | ||||||||||||||||||
1.0 | 20.3 | 0.0 | 4.1 | 43.00 | 50.29 | 2529.46 | ||||||||||||||||||
1.0 | 30.2 | 0.5 | 21.1 | 74.40 | 81.69 | 6673.87 | ||||||||||||||||||
1.0 | 0.7 | 110.3 | 7.4 | -10.20 | -2.91 | 8.45 | ||||||||||||||||||
1.0 | 10.4 | 102.0 | 105.0 | 7.60 | 14.89 | 221.82 | ||||||||||||||||||
1.0 | 20.0 | 104.0 | 204.0 | 21.60 | 28.89 | 834.85 | ||||||||||||||||||
1.0 | 30.3 | 116.6 | 327.2 | 81.40 | 88.69 | 7866.58 | ||||||||||||||||||
1.0 | 0.2 | 404.0 | 4.0 | -39.10 | -31.81 | 1011.64 | ||||||||||||||||||
1.0 | 10.2 | 424.4 | 210.1 | -40.00 | -32.71 | 1069.70 | ||||||||||||||||||
1.0 | 20.3 | 424.4 | 418.2 | -9.20 | -1.91 | 3.63 | ||||||||||||||||||
1.0 | 30.1 | 432.6 | 626.1 | 33.40 | 40.69 | 1655.98 | ||||||||||||||||||
1.0 | 0.6 | 906.0 | 18.1 | -121.70 | -114.41 | 13088.79 | ||||||||||||||||||
1.0 | 10.4 | 900.0 | 312.0 | -103.70 | -96.41 | 9294.17 | ||||||||||||||||||
1.0 | 20.4 | 906.0 | 614.0 | -59.40 | -52.11 | 2715.06 | ||||||||||||||||||
1.0 | 30.1 | 930.3 | 918.1 | -23.00 | -15.71 | 246.69 | ||||||||||||||||||
suma = | 0.00 | 48448.57 | ||||||||||||||||||||||
a0 | a1 | a2 | a3 | a4 | a5 | a6 | a7 | |||||||||||||||||
A | AT | |||||||||||||||||||||||
1 | 0.7 | 0.2 | 0.49 | 0.04 | 0.14 | 0.34 | 0.01 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | |
1 | 0.1 | 10.6 | 0.01 | 112.36 | 1.06 | 0 | 1191.02 | 0.7 | 0.1 | 0.4 | 0.8 | 10.4 | 10 | 10.6 | 10.8 | 20.2 | 20.8 | 20.2 | 20.2 | 30.3 | 30.7 | 30.8 | 30.7 | |
1 | 0.4 | 20.4 | 0.16 | 416.16 | 8.16 | 0.06 | 8489.66 | 0.2 | 10.6 | 20.4 | 30.2 | 0.7 | 10.5 | 20.5 | 30 | 0.7 | 10.2 | 20.2 | 30 | 0.4 | 10.1 | 20 | 30.1 | |
1 | 0.8 | 30.2 | 0.64 | 912.04 | 24.16 | 0.51 | 27543.61 | 0.49 | 0.01 | 0.16 | 0.64 | 108.16 | 100 | 112.36 | 116.64 | 408.04 | 432.64 | 408.04 | 408.04 | 918.09 | 942.49 | 948.64 | 942.49 | |
1 | 10.4 | 0.7 | 108.16 | 0.49 | 7.28 | 1124.86 | 0.34 | 0.04 | 112.36 | 416.16 | 912.04 | 0.49 | 110.25 | 420.25 | 900 | 0.49 | 104.04 | 408.04 | 900 | 0.16 | 102.01 | 400 | 906.01 | |
1 | 10 | 10.5 | 100 | 110.25 | 105 | 1000 | 1157.63 | 0.14 | 1.06 | 8.16 | 24.16 | 7.28 | 105 | 217.3 | 324 | 14.14 | 212.16 | 408.04 | 606 | 12.12 | 310.07 | 616 | 924.07 | |
1 | 10.6 | 20.5 | 112.36 | 420.25 | 217.3 | 1191.02 | 8615.13 | 0.34 | 0 | 0.06 | 0.51 | 1124.86 | 1000 | 1191.02 | 1259.71 | 8242.41 | 8998.91 | 8242.41 | 8242.41 | 27818.13 | 28934.44 | 29218.11 | 28934.44 | |
1 | 10.8 | 30 | 116.64 | 900 | 324 | 1259.71 | 27000 | 0.01 | 1191.02 | 8489.66 | 27543.61 | 0.34 | 1157.63 | 8615.13 | 27000 | 0.34 | 1061.21 | 8242.41 | 27000 | 0.06 | 1030.3 | 8000 | 27270.9 | |
1 | 20.2 | 0.7 | 408.04 | 0.49 | 14.14 | 8242.41 | 0.34 | |||||||||||||||||
1 | 20.8 | 10.2 | 432.64 | 104.04 | 212.16 | 8998.91 | 1061.21 | |||||||||||||||||
1 | 20.2 | 20.2 | 408.04 | 408.04 | 408.04 | 8242.41 | 8242.41 | |||||||||||||||||
1 | 20.2 | 30 | 408.04 | 900 | 606 | 8242.41 | 27000 | |||||||||||||||||
1 | 30.3 | 0.4 | 918.09 | 0.16 | 12.12 | 27818.13 | 0.06 | |||||||||||||||||
1 | 30.7 | 10.1 | 942.49 | 102.01 | 310.07 | 28934.44 | 1030.3 | |||||||||||||||||
1 | 30.8 | 20 | 948.64 | 400 | 616 | 29218.11 | 8000 | |||||||||||||||||
1 | 30.7 | 30.1 | 942.49 | 906.01 | 924.07 | 28934.44 | 27270.9 | |||||||||||||||||
A^T*A | ||||||||||||||||||||||||
16.00 | 247.70 | 244.80 | 5846.93 | 5692.34 | 3789.70 | 153207.76 | 146602.62 | |||||||||||||||||
247.70 | 5846.93 | 3789.70 | 153207.77 | 88057.01 | 89361.39 | 4253978.01 | 2269275.45 | |||||||||||||||||
244.80 | 3789.70 | 5692.34 | 89361.39 | 146602.61 | 88057.01 | 2343492.80 | 3994977.82 | |||||||||||||||||
5846.93 | 153207.77 | 89361.39 | 4253978.11 | 2072520.83 | 2343493.01 | 122283263.85 | 53354420.63 | |||||||||||||||||
5692.34 | 88057.01 | 146602.61 | 2072520.83 | 3994977.63 | 2269275.54 | 54325432.92 | 112622341.69 | |||||||||||||||||
3789.70 | 89361.39 | 88057.01 | 2343493.01 | 2269275.54 | 2072520.83 | 65208707.66 | 61875683.61 | |||||||||||||||||
153207.76 | 4253978.01 | 2343492.80 | 122283263.85 | 54325432.92 | 65208707.66 | 3592013002.23 | 1398106381.93 | |||||||||||||||||
146602.62 | 2269275.451 | 3994977.824 | 53354420.6301 | 112622341.6872 | 61875683.6088 | 1398106381.9335 | 3243530873.929 | |||||||||||||||||
(A^T*A)^-1 | ||||||||||||||||||||||||
0.768303304433505 | -0.084758394078463 | -0.081269352783398 | 0.004380750346934 | 0.004038248922802 | 0.000957355807438 | -7.90060723017674E-05 | -7.18147843145286E-05 | |||||||||||||||||
-0.084758394078464 | 0.044178609985751 | 0.001706508566632 | -0.003497484177882 | -4.64790843069883E-05 | -7.16366916755271E-05 | 7.09599778467174E-05 | 7.45699800698145E-07 | |||||||||||||||||
-0.081269352783394 | 0.001706508566631 | 0.044878425619146 | -9.03074944713464E-05 | -0.003619927824869 | -5.18478247972536E-05 | 1.91425221095213E-06 | 7.45447785489404E-05 | |||||||||||||||||
0.004380750346934 | -0.003497484177882 | -9.03074944714358E-05 | 0.000302873249467 | 6.26479999437888E-06 | 9.41245849714312E-07 | -6.36401675118786E-06 | -1.14242490976045E-07 | |||||||||||||||||
0.004038248922802 | -4.64790843068971E-05 | -0.003619927824869 | 6.26479999437149E-06 | 0.00032031925541 | -9.70249665163881E-07 | -1.33022264396784E-07 | -6.84080367127087E-06 | |||||||||||||||||
0.000957355807438 | -7.16366916755247E-05 | -5.18478247972615E-05 | 9.41245849714138E-07 | -9.70249665163186E-07 | 4.13859220738736E-06 | -2.22857493970811E-08 | 1.95697891280578E-08 | |||||||||||||||||
-7.90060723017673E-05 | 7.0959977846717E-05 | 1.91425221095405E-06 | -6.36401675118785E-06 | -1.33022264396944E-07 | -2.22857493970849E-08 | 1.36467029760195E-07 | 2.47279675883202E-09 | |||||||||||||||||
-7.18147843145227E-05 | 7.45699800696251E-07 | 7.454477854894E-05 | -1.1424249097589E-07 | -6.84080367127086E-06 | 1.95697891280726E-08 | 2.47279675882866E-09 | 1.49184904439559E-07 | |||||||||||||||||
(A^T*A)^-1*AT | ||||||||||||||||||||||||
0.695133105249427 | 0.267635734732749 | 0.155887923010311 | -0.022938625296076 | 0.223802521327779 | -0.110935523431239 | -0.11162028413689 | -0.168113818349058 | 0.151107464324975 | -0.092257936016738 | -0.002656593268547 | 0.03000656504602 | 0.003983082006078 | -0.176984605508797 | 0.010217081069978 | 0.147733909239493 | |||||||||
-0.055193587073015 | -0.066696698544649 | -0.046426068553933 | -0.023663409697435 | 0.076881821442204 | 0.084374678576753 | 0.081380540417567 | 0.080100720591485 | -0.03442359334254 | -0.042268799820938 | -0.042160809997177 | -0.048496544719358 | 0.016629102967686 | 0.019418601729359 | 0.008781775243391 | -0.008237729219392 | |||||||||
-0.071294021850143 | 0.076605979612098 | -0.039113618262054 | 0.025828178288313 | -0.041847030191042 | 0.08165691234389 | -0.041367916904308 | 0.013366928013369 | -0.038935547934172 | 0.081631854708991 | -0.045127408638839 | 0.00183806697134 | -0.04247337511077 | 0.086124657133146 | -0.044430008067262 | -0.002463650112558 | |||||||||
0.00206107527406 | 0.00364561677661 | 0.002832521493329 | 0.001635907972437 | -0.006446274390245 | -0.006961737449572 | -0.006239617486692 | -0.005932246938271 | 0.004814260235718 | 0.005208060907295 | 0.005035645463837 | 0.005276078245354 | -0.000586883531308 | -0.001775151254917 | -0.001602986811789 | -0.000964268505846 | |||||||||
0.003297361050467 | -0.006495062196521 | 0.005394170846924 | -0.001616708960454 | 0.001696453456004 | -0.006648124206162 | 0.005351449870891 | -0.001227133285536 | 0.002166198121448 | -0.006477794260228 | 0.005359154021058 | -0.001040938930841 | 0.003272262328007 | -0.006567501469519 | 0.005068116342113 | -0.001531902727653 | |||||||||
0.000897834980238 | 0.000319292273488 | -0.000332712565178 | -0.000911062300527 | 0.000282437722355 | 0.000118662297066 | -0.000125492979948 | -0.000293978389033 | -0.000267570243731 | -5.69954375548203E-05 | 0.000117458964054 | 0.000318384049992 | -0.000939768880166 | -0.0003188236642 | 0.000273576440153 | 0.000918757732993 | |||||||||
-3.2031622952362E-05 | -6.3707495374792E-05 | -4.7128584252949E-05 | -2.21813459806532E-05 | 0.000125265344725 | 0.000136615584397 | 0.000120444068404 | 0.000114224114699 | -0.000116610188295 | -0.000124730473324 | -0.000121892886741 | -0.000126602827462 | 2.50731543458738E-05 | 5.14421106645647E-05 | 4.78395723392875E-05 | 3.39814748084989E-05 | |||||||||
-5.6708377341256E-05 | 0.000127503544217 | -0.000131001202959 | 5.04392851660837E-05 | -2.46118819314009E-05 | 0.000129968080145 | -0.000130981423954 | 3.99816200606458E-05 | -3.3828558754208E-05 | 0.000127630341867 | -0.000130873948005 | 3.64864147788056E-05 | -5.63468674221356E-05 | 0.000129799876094 | -0.000124863451296 | 4.74065493328369E-05 | |||||||||
X | V | VV | m0^2 | cov (X) | ||||||||||||||||||||
6.67897533234281 | a0 | 6.78794176821376 | 46.0761534482007 | 3040.6043881734 | 2336.10639890825 | -257.716744969504 | -247.107950697212 | 13.3201287283795 | 12.2787173952086 | 2.91094026914051 | -0.240226210133098 | -0.218360348322482 | ||||||||||||
-0.049080399308674 | a1 | 19.7332918448578 | 389.40280703433 | -257.716744969508 | 134.329675386075 | 5.18881743615705 | -10.6344657388336 | -0.14132450770211 | -0.217818839062832 | 0.215761220025416 | 0.002267378086263 | |||||||||||||
1.07269124926534 | a2 | 40.818878325452 | 1666.18082774806 | m0 | -247.107950697199 | 5.18881743615365 | 136.457537871889 | -0.274589363974521 | -11.0067684291668 | -0.157648723595775 | 0.005820483672692 | 0.226661180771322 | ||||||||||||
-0.154801173496432 | a3 | 79.0400039481868 | 6247.32222412939 | 55.14 | 13.3201287283799 | -10.6344657388336 | -0.274589363974792 | 0.92091773138894 | 0.019048778353937 | 0.002861956260991 | -0.019350457260071 | -0.000347366219378 | ||||||||||||
-0.000608502774423 | a4 | -8.84058417104128 | 78.1559284852657 | 12.2787173952075 | -0.141324507701833 | -11.0067684291667 | 0.019048778353915 | 0.973964133617444 | -0.002950145389521 | -0.00040446808085 | -0.020800177661499 | |||||||||||||
0.031565751559108 | a5 | 7.56509980666032 | 57.230735084732 | 2.91094026914052 | -0.217818839062825 | -0.157648723595799 | 0.002861956260991 | -0.002950145389519 | 0.012583821626642 | -6.77621474104975E-05 | 5.95039866984006E-05 | |||||||||||||
0.000669678640409 | a6 | 30.6353082474785 | 938.522111418022 | -0.240226210133098 | 0.215761220025415 | 0.005820483672698 | -0.019350457260071 | -0.00040446808085 | -6.77621474105091E-05 | 0.00041494224953 | 7.51879667596561E-06 | |||||||||||||
0.001448470216327 | a7 | 69.9055833502529 | 4886.79058353916 | -0.218360348322464 | 0.002267378086257 | 0.226661180771321 | -0.000347366219377 | -0.020800177661499 | 5.95039866984456E-05 | 7.51879667595539E-06 | 0.000453612275088 | |||||||||||||
-50.7603357296403 | 2576.6116833858 | |||||||||||||||||||||||
-36.1764358179101 | 1308.73450848737 | cov(X) | ||||||||||||||||||||||
-5.71870921966777 | 32.7036351391132 | 40.1645709 | -4.4309225 | -4.2485171 | 0.2290133 | 0.2111076 | 0.0500476 | -0.0041302 | -0.0037543 | |||||||||||||||
37.9128726219409 | 1437.38591044752 | -4.4309225 | 2.3095233 | 0.0892104 | -0.1828377 | -0.0024297 | -0.003745 | 0.0037096 | 3.9E-05 | |||||||||||||||
-117.488719708567 | 13803.5992587582 | błędy prametrów | -4.2485171 | 0.0892104 | 2.3461139 | -0.004721 | -0.1892393 | -0.0027104 | 0.0001001 | 0.003897 | ||||||||||||||
-99.297514795525 | 9859.99644456751 | 0.2290133 | -0.1828377 | -0.004721 | 0.0158333 | 0.0003275 | 4.92E-05 | -0.0003327 | -6E-06 | |||||||||||||||
-69.8738534453458 | 4882.35539530166 | 0.2111076 | -0.0024297 | -0.1892393 | 0.0003275 | 0.0167454 | -5.07E-05 | -7E-06 | -0.0003576 | |||||||||||||||
-20.9428270250128 | 438.602003799605 | 0.0500476 | -0.003745 | -0.0027104 | 4.92E-05 | -5.07E-05 | 0.0002164 | -1.2E-06 | 1E-06 | |||||||||||||||
Suma: | 48649.6702107685 | -0.0041302 | 0.0037096 | 0.0001001 | -0.0003327 | -7E-06 | -1.2E-06 | 7.1E-06 | 1E-07 | |||||||||||||||
R^2 | -0.0037543 | 3.9E-05 | 0.003897 | -6E-06 | -0.0003576 | 1E-06 | 1E-07 | 7.8E-06 | ||||||||||||||||
-0.00415 |