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5100,58 | 4,2 | 327,019 | 106941,2 | 0,14007 | 0,01962 | 45,8044 |
4885,41 | 4,078 | 111,849 | 12510,12 | 0,01807 | 0,00033 | 2,02073 |
5416,94 | 4,23 | 643,379 | 413936,1 | 0,17007 | 0,02892 | 109,417 |
4496,66 | 4,001 | -276,901 | 76674,35 | -0,0589 | 0,00347 | 16,3187 |
4722,08 | 4,044 | -51,4813 | 2650,328 | -0,0159 | 0,00025 | 0,82027 |
5537,91 | 4,208 | 764,349 | 584228,9 | 0,14807 | 0,02192 | 113,175 |
5074,01 | 4,11 | 300,449 | 90269,4 | 0,05007 | 0,00251 | 15,0425 |
4807,09 | 4,062 | 33,5287 | 1124,171 | 0,00207 | 4,3E-06 | 0,06929 |
4046,02 | 3,85 | -727,541 | 529316,4 | -0,2099 | 0,04407 | 152,735 |
4683,93 | 4,037 | -89,6313 | 8033,776 | -0,0229 | 0,00053 | 2,05555 |
4872,42 | 4,08 | 98,8587 | 9773,036 | 0,02007 | 0,0004 | 1,98376 |
4003,22 | 3,9 | -770,341 | 593425,8 | -0,1599 | 0,02558 | 123,203 |
4628,01 | 4,03 | -145,551 | 21185,19 | -0,0299 | 0,0009 | 4,35684 |
4293,44 | 3,96 | -480,121 | 230516,5 | -0,0999 | 0,00999 | 47,9801 |
5035,7 | 4,109 | 262,139 | 68716,68 | 0,04907 | 0,00241 | 12,8623 |
71603,42 | 60,899 | 0,1609 | 647,845 |
.
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|
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=
:
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2 -
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5100,58 | 4,2 | 4,137 |
4885,41 | 4,078 | 4,0863 |
5416,94 | 4,23 | 4,2115 |
4496,66 | 4,001 | 3,9947 |
4722,08 | 4,044 | 4,0478 |
5537,91 | 4,208 | 4,24 |
5074,01 | 4,11 | 4,1307 |
4807,09 | 4,062 | 4,0678 |
4046,02 | 3,85 | 3,8885 |
4683,93 | 4,037 | 4,0388 |
4872,42 | 4,08 | 4,0832 |
4003,22 | 3,9 | 3,8784 |
4628,01 | 4,03 | 4,0256 |
4293,44 | 3,96 | 3,9468 |
5035,7 | 4,109 | 4,1217 |
71603,42 | 60,899 | 60,899 |
.2.
(5200 ).
( 3).
3 -
0,10,3 | (-0,1)(-0,3) | |
0,30,5 | (-0,3)(-0,5) | |
0,50,7 | (-0,5)(-0,7) | |
0,70,9 | (-0,7)(-0,9) | |
0,90,99 | (-0,9)(-0,99) |
. . .. = 0,974, , X Y , .
( ) . . .
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H 0 t - n 2 . t = 6,247 t a,n n = n 2 = 15-2 = 13 ( ). t a,n = t a=0.05, n=13 = 1,771. 15,501 1,771 , H 0 . . .
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5100,58 | 4,2 | 1,32696 | 6,76828 | 21422,44 | 109266848,6 | |
4885,41 | 4,078 | 1,16601 | 5,69645 | 19922,7 | 97330567,48 | |
5416,94 | 4,23 | 1,58951 | 8,61026 | 22913,66 | 124121900,8 | |
4496,66 | 4,001 | 4,08846 | 17991,14 | 80900024,57 | ||
4722,08 | 4,044 | 1,05293 | 4,97203 | 19096,09 | 90173271,84 | |
5537,91 | 4,208 | 1,69839 | 9,40554 | 23303,53 | 129052825,7 | |
5074,01 | 4,11 | 1,30633 | 6,62835 | 20854,18 | 105814323,4 | |
4807,09 | 4,062 | 1,11083 | 5,33985 | 19526,4 | 93865160,16 | |
4046,02 | 3,85 | 2,67986 | 15577,18 | 63025569,69 | ||
4683,93 | 4,037 | 1,02762 | 4,81329 | 18909,03 | 88568551,39 | |
4872,42 | 4,08 | 1,15674 | 5,6361 | 19879,47 | 96861144,76 | |
4003,22 | 3,9 | 2,56825 | 15612,56 | 62500504,44 | ||
4628,01 | 4,03 | 4,58751 | 18650,88 | 86316460,54 | ||
4293,44 | 3,96 | 3,39799 | 17002,02 | 72997163,05 | ||
5035,7 | 4,109 | 1,27697 | 6,43042 | 20691,69 | 104197149,9 | |
71603,42 | 60,899 | 3,45 | 1,67081 | 8,16226 |
:
( , , ) MAthCAD, : ; ; ,
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X Y .
5 X Y
(Y) () , , , xi; . .
5
, , | , ., | , | ||
5100,58 | 4,2 | 4,105 | 0,0196 | 0,00203 |
4885,41 | 4,078 | 4,0619 | 0,0003 | 3,9E-06 |
5416,94 | 4,23 | 4,165 | 0,0289 | 0,01104 |
4496,66 | 4,001 | 3,9794 | 0,0035 | 0,00649 |
4722,08 | 4,044 | 4,028 | 0,0003 | 0,00102 |
5537,91 | 4,208 | 4,1869 | 0,0219 | 0,01612 |
5074,01 | 4,11 | 4,0998 | 0,0025 | 0,00159 |
4807,09 | 4,062 | 4,0458 | 4E-06 | 0,0002 |
4046,02 | 3,85 | 3,8761 | 0,0441 | 0,03379 |
4683,93 | 4,037 | 4,0199 | 0,0005 | 0,0016 |
4872,42 | 4,08 | 4,0593 | 0,0004 | 4,6E-07 |
4003,22 | 3,9 | 3,8659 | 0,0256 | 0,03766 |
4628,01 | 4,03 | 4,0079 | 0,0009 | 0,0027 |
4293,44 | 3,96 | 3,9338 | 0,01 | 0,01591 |
5035,7 | 4,109 | 4,0922 | 0,0024 | 0,00104 |
71603,42 | 60,899 | 60,527 | 0,1609 | 0,152839 |
() (Y), . , ,
. , . ., . . H 0: R 2 = 0. , ( ) , . . H a: R 2 > 0.
|
|
,
F - n1 = m 1 n2 = n m . m . Fn 1, n 2, a, ( ) . F > Fn 1, n 2, a, , , a , , .
.
. n1 = 3 1 = 2 n2 = 15 3 = 12 a = 0,05 . (), , .
, 6500 .
, , 1 2 +40 . , 22, 22 61 . , , .
, , 3 +15 . , 22, 22 36 . , , .
/ | , . | , / | , . | , . | . , . |
5161.48 | 30.31 | 4.1 | 20.6 | 63.9 | |
5124.75 | 30.4 | 4.185 | 7.54 | 71.3 | |
4435.68 | 31.1 | 4.098 | 23.3 | 70.9 | |
5100.58 | 30.35 | 4.19 | 7.04 | 75.9 | |
4885.41 | 30.7 | 4.156 | 2.47 | 75.9 | |
5416.94 | 30.1 | 4.225 | 39.8 | 66.2 | |
4496.66 | 31.1 | 4.108 | 0.42 | 61.9 | |
4722.08 | 30.9 | 3.95 | 63.8 | ||
5537.91 | 29.85 | 4.2 | 18.1 | 78.4 | |
5074.01 | 30.45 | 4.18 | 5.5 | 76.6 | |
4807.09 | 30.79 | 4.145 | 1.48 | 65.6 | |
4046.02 | 31.7 | 4.05 | 10.8 | ||
4683.93 | 31.1 | 4.13 | 16.9 | 68.5 | |
4872.42 | 30.65 | 4.154 | 9.77 | 65.4 | |
4003.22 | 31.8 | 4.04 | 0.55 | 74.7 | |
4628.01 | 30.95 | 4.122 | 26.2 | 63.4 | |
4293.44 | 31.35 | 4.274 | 1.46 | 61.9 | |
5035.7 | 30.46 | 4.175 | 5.3 | 76.2 | |
5780.28 | 29.56 | 4.274 | 9.09 | 77.6 | |
4752.14 | 3.97 | 8.96 | 72.7 | ||
6115.63 | 29.2 | 4.32 | 11.7 | 66.8 | |
4788.77 | 30.75 | 4.143 | 62.3 | ||
5140.42 | 30.33 | 4.189 | 0.68 | 63.1 | |
5856.44 | 29.47 | 4.285 | 2.16 | 70.1 | |
5243.49 | 31.5 | 4.2 | 0.24 | 75.5 | |
5007.53 | 30.5 | 4.17 | 11.5 | 66.1 | |
5321.63 | 30.11 | 4.21 | 5.01 | 69.4 | |
5296.32 | 30.2 | 4.3 | 19.3 | 71.2 | |
4046.73 | 31.65 | 4.05 | 3.21 | 65.8 | |
4051.41 | 31.64 | 4.05 | 26.5 | ||
4795.27 | 30.75 | 4.146 | 10.4 | 60.5 | |
4736.68 | 30.9 | 4.137 | 9.45 | 77.3 | |
4687.59 | 30.87 | 4.13 | 9.27 | 78.1 | |
4399.2 | 31.22 | 4.09 | 16.8 | 60.8 | |
5428.04 | 30.2 | 4.22 | 1.22 | 78.9 | |
5079.74 | 30.4 | 4.181 | 13.2 | 64.6 | |
4934.46 | 30.65 | 4.162 | 1.99 | ||
5207.58 | 30.3 | 4.2 | 6.6 | 63.8 | |
5556.51 | 30.5 | 4.244 | 10.4 | 72.6 | |
3543.68 | 32.25 | 3.987 | 2.43 | 66.1 | |
4878.13 | 30.8 | 4.156 | 7.16 | 77.7 | |
5590.46 | 4.25 | 1.72 | |||
5194.84 | 30.27 | 4.2 | 20.3 | 76.7 | |
4216.72 | 31.6 | 4.07 | 23.8 | 60.3 | |
4790.17 | 30.75 | 4.143 | 16.8 | 78.5 | |
5584.01 | 29.8 | 4.248 | 11.3 | 78.8 | |
4909.11 | 30.61 | 4.156 | 3.01 | 76.5 | |
4677.98 | 30.95 | 4.128 | 8.59 | ||
5343.27 | 4.214 | 1.08 | 68.8 | ||
4864.33 | 30.66 | 4.15 | 12.4 | 75.8 | |
5135.47 | 30.34 | 4.19 | 33.7 | 71.6 | |
5222.85 | 30.23 | 4.2 | 9.13 | 79.6 | |
5339.34 | 29.5 | 4.22 | 6.49 | 66.3 | |
4939.53 | 30.6 | 4.162 | 9.2 | 60.5 | |
4366.78 | 31.7 | 4.09 | 11.9 | 70.5 | |
4553.22 | 31.05 | 4.01 | 9.63 | 79.9 | |
5130.41 | 30.34 | 4.19 | 9.14 | 77.5 | |
5063.37 | 30.42 | 4.18 | 22.4 | 69.7 | |
5711.62 | 29.65 | 4.265 | 2.5 | 77.7 | |
4730.51 | 30.82 | 4.136 | 5.26 | 72.8 | |
5027.05 | 30.47 | 4.174 | 14.6 | 79.2 | |
5224.4 | 31.2 | 4.2 | 14.9 | 68.8 | |
5537.1 | 29.86 | 4.24 | 5.7 | 76.5 | |
30.1 | 4.238 | 6.67 | 73.2 | ||
5233.44 | 30.22 | 4.2 | 1.87 | 68.6 | |
4912.66 | 30.6 | 4.16 | 23.8 | 76.1 | |
5329.88 | 30.1 | 4.2 | 1.76 | 63.6 | |
5455.61 | 29.95 | 4.231 | 9.85 | 61.1 | |
5196.83 | 30.26 | 4.19 | 8.13 | 71.2 | |
5924.08 | 30.1 | 4.294 | 5.49 | 77.8 | |
4476.26 | 31.2 | 4.1 | 1.92 | 79.1 | |
4849.98 | 30.68 | 4.15 | 1.9 | ||
6030.83 | 29.7 | 4.31 | 3.9 | 75.6 | |
5302.24 | 30.14 | 4.21 | 4.17 | 64.7 | |
5189.26 | 30.27 | 4.19 | 3.88 | 72.4 | |
4718.08 | 30.84 | 4.137 | 54.5 | 75.7 | |
5381.27 | 30.04 | 4.22 | 1.07 | 61.1 | |
5044.9 | 30.45 | 4.18 | 0.14 | 62.1 | |
4982.15 | 30.52 | 4.168 | 0.88 | 69.6 | |
4576.45 | 31.01 | 4.214 | 3.51 | 62.4 | |
4717.06 | 4.137 | 20.7 | 78.1 | ||
6040.33 | 29.5 | 4.314 | 19.3 | 70.8 | |
4358.76 | 31.27 | 4.09 | 3.24 | 71.7 | |
5470.73 | 30.1 | 4.233 | 1.92 | 74.4 | |
4886.58 | 30.64 | 4.156 | 8.24 | 79.8 | |
4832.32 | 30.7 | 4.15 | 13.5 | 61.7 | |
5255.13 | 30.2 | 4.21 | 26.4 | ||
4378.64 | 31.25 | 4.09 | 1.29 | 72.9 | |
5237.14 | 30.2 | 4.2 | 12.6 | 62.5 | |
6154.79 | 29.1 | 4.325 | 22.9 | 76.9 | |
3884.28 | 31.8 | 4.09 | 5.74 | 72.3 | |
4216.6 | 31.44 | 4.07 | 8.01 | 64.5 | |
5174.03 | 30.29 | 4.19 | 25.1 | 78.1 | |
5757.94 | 30.1 | 4.271 | 15.8 | 63.1 | |
4857.76 | 30.67 | 4.156 | 17.8 | 72.7 | |
4974.92 | 30.53 | 4.167 | 14.3 | 74.1 | |
4468.04 | 31.14 | 4.1 | 1.41 | 70.5 | |
4750.51 | 30.8 | 4.138 | 4.87 | 63.3 | |
5281.84 | 30.16 | 4.208 | 1.53 | 65.3 | |
5455.57 | 30.9 | 4.234 | 10.7 | 70.4 |
|
|
()
0.0 | 0.3989 | ||||||||||
0.1 | |||||||||||
0.2 | |||||||||||
0.3 | |||||||||||
0.4 | |||||||||||
0.5 | |||||||||||
0.6 | |||||||||||
0.7 | |||||||||||
0.8 | |||||||||||
0.9 | |||||||||||
1.0 | 0.2420 | ||||||||||
1.1 | |||||||||||
1.2 | |||||||||||
1.3 | |||||||||||
1.4 | |||||||||||
1.5 | |||||||||||
1.6 | |||||||||||
1.7 | |||||||||||
1.8 | |||||||||||
1.9 | |||||||||||
2.0 | 0.0540 | ||||||||||
2.1 | |||||||||||
2.2 | |||||||||||
2.3 | |||||||||||
2.4 | |||||||||||
2.5 | |||||||||||
2.6 | |||||||||||
2.7 | |||||||||||
2.8 | |||||||||||
2.9 | |||||||||||
3.0 | 0.0044 | ||||||||||
3.1 | |||||||||||
3.2 | |||||||||||
3.3 | |||||||||||
3.4 | |||||||||||
3.5 | |||||||||||
3.6 | |||||||||||
3.7 | |||||||||||
3.8 | |||||||||||
3.9 | |||||||||||
()
|
|
0.0 | 0.0000 | |||||||||
0.1 | 0.0398 | |||||||||
0.2 | 0.0793 | |||||||||
0.3 | 0.1179 | |||||||||
0.4 | 0.1554 | |||||||||
0.5 | 0.1915 | |||||||||
0.6 | 0.2257 | |||||||||
0.7 | ||||||||||
0.8 | ||||||||||
0.9 | ||||||||||
1.0 | 0.3413 | |||||||||
1.1 | ||||||||||
1.2 | ||||||||||
1.3 | ||||||||||
1.4 | ||||||||||
1.5 | ||||||||||
1.6 | ||||||||||
1.7 | ||||||||||
1.8 | ||||||||||
1.9 | ||||||||||
2.0 | 0.4772 | |||||||||
2.1 | ||||||||||
2.2 | ||||||||||
2.3 | ||||||||||
2.4 | ||||||||||
2.5 | ||||||||||
2.6 | ||||||||||
2.7 | ||||||||||
2.8 | ||||||||||
2.9 | ||||||||||
3.0 | 0.49865 | |||||||||
3.1 | 0.49903 | |||||||||
3.2 | 0.49931 | |||||||||
3.3 | 0.49952 | |||||||||
3.4 | 0.49966 | |||||||||
3.6 | 0.499841 | |||||||||
3.8 | 0.499928 | |||||||||
4.0 | 0.499968 | |||||||||
4.5 | 0.499997 | |||||||||
5.0 | 0.4999997 | |||||||||
0.5 |
()
0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | |
0.90484 | 0.81873 | 0.740818 | 0.67032 | 0.60653 | 0.5488 | |
0.09048 | 0.16375 | 0.222245 | 0.26813 | 0.30327 | 0.3293 | |
0.00452 | 0.01637 | 0.033337 | 0.05363 | 0.07582 | 0.0988 | |
0.00015 | 0.00109 | 0.003334 | 0.00715 | 0.01264 | 0.0198 | |
3.8E06 | 5.5E05 | 0.00025 | 0.00072 | 0.00158 | 0.003 | |
7.5E08 | 2.2E06 | 1.5E05 | 5.7E05 | 0.00016 | 0.0004 | |
1.3E09 | 7.3E08 | 7.5E07 | 3.8E06 | 1.3E05 | 4E05 | |
1.8E11 | 2.1E09 | 3.21E08 | 2.2E07 | 9.4E07 | 3E06 | |
2.2E13 | 5.2E11 | 1.21E09 | 1.1E08 | 5.9E08 | 2E07 | |
2.5E15 | 1.2E12 | 4.02E11 | 4.8E10 | 3.3E09 | 2E08 | |
2.5E17 | 2.3E14 | 1.21E12 | 1.9E11 | 1.6E10 | 9E10 | |
0.7 | 0.8 | 0.9 | ||||
0.49659 | 0.44933 | 0.40657 | 0.36788 | 0.1353 | 0.04979 | |
0.34761 | 0.35946 | 0.36591 | 0.36788 | 0.2707 | 0.14936 | |
0.12166 | 0.14379 | 0.16466 | 0.18394 | 0.2707 | 0.22404 | |
0.02839 | 0.03834 | 0.0494 | 0.06131 | 0.1804 | 0.22404 | |
0.00497 | 0.00767 | 0.01111 | 0.01533 | 0.0902 | 0.16803 | |
0.0007 | 0.00123 | 0.002 | 0.00307 | 0.0361 | 0.10082 | |
8.1E05 | 0.00016 | 0.0003 | 0.00051 | 0.012 | 0.05041 | |
8.1E06 | 1.9E05 | 3.9E05 | 7.3E05 | 0.0034 | 0.0216 | |
7.1E07 | 1.9E06 | 4.3E06 | 9.1E06 | 0.0009 | 0.0081 | |
5.5E08 | 1.7E07 | 4.3E07 | 1E06 | 0.0002 | 0.0027 | |
3.9E09 | 1.3E08 | 3.9E08 | 1E07 | 4E05 | 0.00081 |
0.0183 | 0.0067 | 0.00248 | 0.00091 | 0.0003 | 0.00012 | 4.54E05 | |
0.0733 | 0.0337 | 0.01487 | 0.00638 | 0.0027 | 0.00111 | 0.000454 | |
0.1465 | 0.0842 | 0.04462 | 0.02234 | 0.0107 | 0.005 | 0.00227 | |
0.1954 | 0.1404 | 0.08924 | 0.05213 | 0.0286 | 0.01499 | 0.007567 | |
0.1954 | 0.1755 | 0.13385 | 0.09123 | 0.0573 | 0.03374 | 0.018917 | |
0.1563 | 0.1755 | 0.16062 | 0.12772 | 0.0916 | 0.06073 | 0.037833 | |
0.1042 | 0.1462 | 0.16062 | 0.149 | 0.1221 | 0.09109 | 0.063055 | |
0.0595 | 0.1044 | 0.13768 | 0.149 | 0.1396 | 0.11712 | 0.090079 | |
0.0298 | 0.0653 | 0.10326 | 0.13038 | 0.1396 | 0.13176 | 0.112599 | |
0.0132 | 0.0363 | 0.06884 | 0.1014 | 0.1241 | 0.13176 | 0.12511 | |
0.0053 | 0.0181 | 0.0413 | 0.07098 | 0.0993 | 0.11858 | 0.12511 | |
0.0019 | 0.0082 | 0.02253 | 0.04517 | 0.0722 | 0.09702 | 0.113736 | |
0.0006 | 0.0034 | 0.01126 | 0.02635 | 0.0481 | 0.07277 | 0.09478 | |
0.0002 | 0.0013 | 0.0052 | 0.01419 | 0.0296 | 0.05038 | 0.072908 | |
6E-05 | 0.0005 | 0.00223 | 0.00709 | 0.0169 | 0.03238 | 0.052077 | |
2E-05 | 0.0002 | 0.00089 | 0.00331 | 0.009 | 0.01943 | 0.034718 | |
( )
c2
n | a | ||||||||
0.001 | 0.01 | 0.025 | 0.05 | 0.1 | 0.9 | 0.95 | 0.975 | 0.99 | |
10.827 | 6.635 | 5.024 | 3.841 | 2.706 | 0.016 | 0.0039 | 0.00098 | 0.00016 | |
13.815 | 9.210 | 7.378 | 5.991 | 4.605 | 0.211 | 0.103 | 0.051 | 0.020 | |
16.266 | 11.345 | 9.348 | 7.815 | 6.251 | 0.584 | 0.352 | 0.216 | 0.115 | |
: 2016-11-02; !; : 506 | : : . |
: 0.065 .