Карман | Частота | | |||||||||
0.63 | 1 | ||||||||||
0.83 | 8 | ||||||||||
1.04 | 16 | ||||||||||
1.24 | 15 | ||||||||||
1.45 | 11 | | |||||||||
1.65 | 16 | ||||||||||
1.85 | 12 | ||||||||||
2.06 | 6 | ||||||||||
2.26 | 4 | ||||||||||
2.47 | 4 | ||||||||||
2.67 | 7 | ||||||||||
Еще | 0 | ||||||||||
Карман | Частота | ||||||||||
0.63 | 0.01 | ||||||||||
0.83 | 0.09 | ||||||||||
1.04 | 0.25 | 0.63 | 0.01 | ||||||||
1.24 | 0.4 | 0.83 | 0.01 | ||||||||
1.45 | 0.51 | 0.83 | 0.09 | ||||||||
1.65 | 0.67 | 1.04 | 0.09 | ||||||||
1.85 | 0.79 | 1.04 | 0.25 | | |||||||
2.06 | 0.85 | 1.25 | 0.25 | ||||||||
2.26 | 0.89 | 1.24 | 0.4 | ||||||||
2.47 | 0.93 | 1.45 | 0.4 | ||||||||
2.67 | 1 | 1.45 | 0.51 | ||||||||
1.65 | 0.51 | ||||||||||
1.65 | 0.67 | ||||||||||
1.85 | 0.67 | ||||||||||
1.85 | 0.79 | ||||||||||
2.06 | 0.79 | ||||||||||
2.06 | 0.85 | ||||||||||
2.26 | 0.85 | ||||||||||
2.26 | 0.89 | ||||||||||
2.47 | 0.89 | ||||||||||
2.47 | 0.93 | ||||||||||
2.67 | 0.93 | ||||||||||
2.67 | 1 |
Карман | Частота | | |||||||
4527.24 | 1 | ||||||||
5792.65 | 6 | ||||||||
7058.07 | 12 | ||||||||
8323.48 | 15 | ||||||||
9588.89 | 15 | ||||||||
10854.31 | 17 | ||||||||
12119.72 | 12 | ||||||||
13385.14 | 6 | ||||||||
14650.55 | 3 | ||||||||
15915.97 | 5 | ||||||||
17181.38 | 8 | ||||||||
Еще | 0 | ||||||||
4527.24 | 0.01 | ||||||||
5792.65 | 0.07 | ||||||||
7058.07 | 0.19 | ||||||||
8323.48 | 0.34 | ||||||||
9588.89 | 0.49 | ||||||||
10854.31 | 0.66 | ||||||||
12119.72 | 0.78 | ||||||||
13385.14 | 0.84 | 4527.24 | 0.01 | | |||||
14650.55 | 0.87 | 5792.65 | 0.01 | ||||||
15915.97 | 0.92 | 5792.65 | 0.07 | ||||||
17181.38 | 1 | 7058.07 | 0.07 | ||||||
7058.07 | 0.19 | ||||||||
8323.48 | 0.19 | ||||||||
8323.48 | 0.34 | ||||||||
9588.89 | 0.34 | ||||||||
9588.89 | 0.49 | ||||||||
10854.31 | 0.49 | ||||||||
10854.31 | 0.66 | ||||||||
12119.72 | 0.66 | ||||||||
12119.72 | 0.78 | ||||||||
13385.14 | 0.78 | ||||||||
13385.14 | 0.84 | ||||||||
14650.55 | 0.84 | ||||||||
14650.55 | 0.87 | ||||||||
15915.97 | 0.87 | ||||||||
15915.97 | 0.92 | ||||||||
17181.38 | 0.92 | ||||||||
17181.38 | 1 |
| |||||||||||||||
ΣXi | ΣYi | ΣX^2i | ΣXiYi | параболическая регрессия | |||||||||||
Линейная регрессия | 146.7 | 997905.83 | 242.88 | 1631093.31 | |||||||||||
X | Y | X^3 | X^4 | X^2i | 887.58 | a+ | 445.7 | b+ | 242.88 | c= | 2963201.4 | ||||
X | Y | X^2i | XiYi | 0.63 | 4527.24 | 0.25 | 0.15 | 0.39 | 445.7 | a+ | 242.88 | b+ | 146.7 | c= | 1631093.31 |
0.63 | 4527.24 | 0.39 | 2837.07 | 0.65 | 5108.71 | 0.28 | 0.18 | 0.43 | 242.88 | a+ | 146.7 | b+ | 100 | c= | 997905.83 |
0.65 | 5108.71 | 0.43 | 3337.69 | 0.65 | 5207.56 | 0.27 | 0.17 | 0.42 | |||||||
0.65 | 5207.56 | 146.7 | 100 | 997905.83 | 0.42 | 3367.55 | 0.77 | 5458.41 | 0.46 | 0.36 | 0.6 | 887.58 | 445.7 | 242.88 | 2963201.4 |
0.77 | 5458.41 | 242.88 | 146.7 | 1631093.31 | 0.6 | 4221.17 | 0.78 | 5507.01 | 0.47 | 0.37 | 0.61 | 445.7 | 242.88 | 146.7 | 1631093.31 |
0.78 | 5507.01 | 0.61 | 4295.47 | 0.74 | 5673.08 | 0.41 | 0.3 | 0.55 | 242.88 | 146.7 | 100 | 997905.83 | |||
0.74 | 5673.08 | det= | -2766.79 | не 0 | 0.55 | 4198.08 | 0.8 | 5728.14 | 0.51 | 0.41 | 0.64 | ||||
0.8 | 5728.14 | 0.64 | 4582.51 | 0.85 | 5812.48 | 0.62 | 0.53 | 0.73 | det | 24417.14 | |||||
0.85 | 5812.48 | обрат | -0.05 | 0.04 | 0.73 | 4959.98 | 0.87 | 5965.57 | 0.65 | 0.56 | 0.75 | 0.11 | -0.37 | 0.26 | |
0.87 | 5965.57 | 0.09 | -0.05 | 0.75 | 5170.16 | 0.96 | 6149.17 | 0.88 | 0.85 | 0.92 | обр | -0.37 | 1.22 | -0.9 | |
0.96 | 6149.17 | 0.92 | 5903.2 | 0.92 | 6255.46 | 0.78 | 0.72 | 0.85 | 0.26 | -0.9 | 0.69 | ||||
0.92 | 6255.46 | 0.85 | 5755.03 | 0.9 | 6329.59 | 0.73 | 0.66 | 0.81 | |||||||
0.9 | 6329.59 | 0.81 | 5696.63 | 1.09 | 6332.23 | 1.31 | 1.43 | 1.2 | -69.58 | ||||||
1.09 | 6332.23 | X= | а= | 6041.87 | 1.2 | 6923.23 | 0.86 | 6337.1 | 0.64 | 0.55 | 0.74 | коэф | 6266.69 | ||
0.86 | 6337.1 | b= | 1115.64 | 0.74 | 5449.91 | 0.82 | 6385.75 | 0.55 | 0.45 | 0.67 | 954.82 | 0 | |||
0.82 | 6385.75 | 0.67 | 5236.32 | 0.95 | 6391.24 | 0.87 | 0.83 | 0.91 | 0 | ||||||
0.95 | 6391.24 | 0.91 | 6092.98 | 0.93 | 6595.45 | 0.8 | 0.74 | 0.86 | E3 | 0 | min | 0 | |||
0.93 | 6595.45 | 0.86 | 6111.79 | 0.96 | 6738.95 | 0.88 | 0.85 | 0.92 | 4527.24 | 4854.62 | -327.38 | ||||
0.96 | 6738.95 | 0.92 | 6469.39 | 0.95 | 6838.89 | 0.85 | 0.8 | 0.9 | 5108.71 | 5019.36 | 89.35 | ||||
0.95 | 6838.89 | E2 | 0 | 0.9 | 6474.15 | 0.79 | 7091.04 | 0.49 | 0.38 | 0.62 | 5207.56 | 4978.18 | 229.37 | ||
0.79 | 7091.04 | 0.62 | 5578.29 | 0.99 | 7097.94 | 0.98 | 0.97 | 0.99 | 5458.41 | 5759.45 | -301.04 | ||||
0.99 | 7097.94 | 4527.24 | 4901.88 | -374.64 | 0.99 | 7050.62 | 0.99 | 7253.38 | 0.96 | 0.95 | 0.97 | 5507.01 | 5800.5 | -293.49 | |
0.99 | 7253.38 | 5108.71 | 5062.99 | 45.72 | 0.97 | 7156.66 | 1.09 | 7318.54 | 1.31 | 1.43 | 1.2 | 5673.08 | 5554.07 | 119.01 | |
1.09 | 7318.54 | 5207.56 | 5022.71 | 184.84 | 1.2 | 8001.61 | 1.02 | 7379.69 | 1.06 | 1.08 | 1.04 | 5728.14 | 5923.64 | -195.5 | |
1.02 | 7379.69 | 5458.41 | 5788.02 | -329.61 | 1.04 | 7527.28 | 1.05 | 7391.09 | 1.15 | 1.2 | 1.1 | 5812.48 | 6251.73 | -439.25 | |
1.05 | 7391.09 | 5507.01 | 5828.3 | -321.29 | 1.1 | 7736.01 | 1.03 | 7408.13 | 1.08 | 1.11 | 1.05 | 5965.57 | 6333.69 | -368.12 | |
1.03 | 7408.13 | 5673.08 | 5586.62 | 86.45 | 1.05 | 7605.68 | 1.14 | 7467.51 | 1.48 | 1.69 | 1.3 | 6149.17 | 6906.72 | -757.55 | |
1.14 | 7467.51 | 5728.14 | 5949.13 | -220.99 | 1.3 | 8512.97 | 1.09 | 7515.75 | 1.28 | 1.39 | 1.18 | 6255.46 | 6661.28 | -405.82 | |
1.09 | 7515.75 | 5812.48 | 6271.37 | -458.89 | 1.18 | 8167.12 | 1.09 | 7574.01 | 1.31 | 1.43 | 1.2 | 6329.59 | 6538.48 | -208.89 | |
1.09 | 7574.01 | 5965.57 | 6351.93 | -386.36 | 1.2 | 8280.92 | 1.04 | 7608.59 | 1.12 | 1.17 | 1.08 | 6332.23 | 7723.23 | -1391 | |
1.04 | 7608.59 | 6149.17 | 6915.83 | -766.67 | 1.08 | 7912.94 | 1.01 | 7717.17 | 1.02 | 1.03 | 1.01 | 6337.1 | 6292.71 | 44.39 | |
1.01 | 7717.17 | 6255.46 | 6674.16 | -418.7 | 1.01 | 7768.62 | 1.01 | 7803.21 | 1.04 | 1.05 | 1.03 | 6385.75 | 6046.72 | 339.03 | |
1.01 | 7803.21 | 6329.59 | 6553.32 | -223.73 | 1.03 | 7907.25 | 1.04 | 7881.1 | 1.12 | 1.17 | 1.08 | 6391.24 | 6865.83 | -474.58 | |
1.04 | 7881.1 | 6332.23 | 7721.41 | -1389.19 | 1.08 | 8196.34 | 1.21 | 8250.38 | 1.76 | 2.12 | 1.46 | 6595.45 | 6702.2 | -106.75 | |
1.21 | 8250.38 | 6337.1 | 6311.65 | 25.45 | 1.46 | 9955.46 | 1.12 | 8464.47 | 1.4 | 1.57 | 1.25 | 6738.95 | 6906.72 | -167.77 | |
1.12 | 8464.47 | 6385.75 | 6069.97 | 315.78 | 1.25 | 9480.21 | 1.27 | 8506.9 | 2.03 | 2.57 | 1.6 | 6838.89 | 6824.93 | 13.96 | |
1.27 | 8506.9 | 6391.24 | 6875.55 | -484.31 | 1.6 | 10775.41 | 1.27 | 8506.9 | 2.03 | 2.57 | 1.6 | 7091.04 | 5841.56 | 1249.49 | |
1.27 | 8506.9 | 6595.45 | 6714.44 | -118.98 | 1.6 | 10775.41 | 1.27 | 8506.9 | 2.03 | 2.57 | 1.6 | 7097.94 | 7111.08 | -13.13 | |
1.27 | 8506.9 | 6738.95 | 6915.83 | -176.88 | 1.6 | 10775.41 | 1.12 | 8525.01 | 1.4 | 1.57 | 1.25 | 7253.38 | 7070.22 | 183.16 | |
1.12 | 8525.01 | 6838.89 | 6835.27 | 3.61 | 1.25 | 9548.01 | 1.05 | 8539.61 | 1.17 | 1.23 | 1.11 | 7318.54 | 7723.23 | -404.68 | |
1.05 | 8539.61 | 7091.04 | 5868.58 | 1222.47 | 1.11 | 8995.05 | 1.31 | 8639.87 | 2.23 | 2.92 | 1.71 | 7379.69 | 7274.45 | 105.24 | |
1.31 | 8639.87 | 7097.94 | 7117.23 | -19.28 | 1.71 | 11289.43 | 1.35 | 8804.89 | 2.48 | 3.35 | 1.83 | 7391.09 | 7437.73 | -46.64 | |
1.35 | 8804.89 | 7253.38 | 7076.95 | 176.43 | 1.83 | 11915.95 | 1.21 | 8873.72 | 1.76 | 2.12 | 1.46 | 7408.13 | 7315.28 | 92.85 | |
1.21 | 8873.72 | 7318.54 | 7721.41 | -402.87 | 1.46 | 10707.62 | 1.33 | 8960.73 | 2.37 | 3.16 | 1.78 | 7467.51 | 8008.42 | -540.9 | |
1.33 | 8960.73 | 7379.69 | 7278.34 | 101.35 | 1.78 | 11947.65 | 1.4 | 8975.02 | 2.74 | 3.84 | 1.96 | 7515.75 | 7682.46 | -166.71 | |
1.4 | 8975.02 | 7391.09 | 7439.46 | -48.37 | 1.96 | 12565.03 | 1.21 | 9260.92 | 1.79 | 2.17 | 1.47 | 7574.01 | 7723.23 | -149.21 | |
1.21 | 9260.92 | 7408.13 | 7318.62 | 89.51 | 1.47 | 11236.58 | 1.17 | 9332.44 | 1.59 | 1.85 | 1.36 | 7608.59 | 7396.92 | 211.67 | |
1.17 | 9332.44 | 7467.51 | 8003.37 | -535.85 | 1.36 | 10887.85 | 1.45 | 9469.08 | 3.07 | 4.46 | 2.11 | 7717.17 | 7192.78 | 524.4 | |
1.45 | 9469.08 | 7515.75 | 7681.14 | -165.38 | 2.11 | 13761.73 | 1.57 | 9539.76 | 3.89 | 6.13 | 2.48 | 7803.21 | 7233.62 | 569.59 | |
1.57 | 9539.76 | 7574.01 | 7721.41 | -147.4 | 2.48 | 15009.22 | 1.4 | 9683.77 | 2.74 | 3.84 | 1.96 | 7881.1 | 7396.92 | 484.18 | |
1.4 | 9683.77 | 7608.59 | 7399.18 | 209.41 | 1.96 | 13557.28 | 1.31 | 9694.65 | 2.23 | 2.92 | 1.71 | 8250.38 | 8415.31 | -164.93 | |
1.31 | 9694.65 | 7717.17 | 7197.79 | 519.39 | 1.71 | 12667.68 | 1.49 | 9978.55 | 3.33 | 4.97 | 2.23 | 8464.47 | 7886.23 | 578.24 | |
1.49 | 9978.55 | 7803.21 | 7238.07 | 565.14 | 2.23 | 14901.3 | 1.5 | 10012.91 | 3.38 | 5.06 | 2.25 | 8506.9 | 8780.99 | -274.09 | |
1.5 | 10012.91 | 7881.1 | 7399.18 | 481.92 | 2.25 | 15019.36 | 1.4 | 10035.87 | 2.74 | 3.84 | 1.96 | 8506.9 | 8780.99 | -274.09 | |
1.4 | 10035.87 | 8250.38 | 8406.16 | -155.78 | 1.96 | 14050.22 | 1.47 | 10137.97 | 3.2 | 4.71 | 2.17 | 8506.9 | 8780.99 | -274.09 | |
1.47 | 10137.97 | 8464.47 | 7882.53 | 581.94 | 2.17 | 14936.62 | 1.51 | 10150.81 | 3.47 | 5.24 | 2.29 | 8525.01 | 7886.23 | 638.78 | |
1.51 | 10150.81 | 8506.9 | 8768.67 | -261.77 | 2.29 | 15361.56 | 1.51 | 10150.81 | 3.47 | 5.24 | 2.29 | 8539.61 | 7478.53 | 1061.07 | |
1.51 | 10150.81 | 8506.9 | 8768.67 | -261.77 | 2.29 | 15361.56 | 1.44 | 10156.15 | 2.99 | 4.3 | 2.07 | 8639.87 | 9024.49 | -384.63 | |
1.44 | 10156.15 | 8506.9 | 8768.67 | -261.77 | 2.07 | 14624.86 | 1.59 | 10166.75 | 3.99 | 6.34 | 2.52 | 8804.89 | 9308.3 | -503.41 | |
1.59 | 10166.75 | 8525.01 | 7882.53 | 642.47 | 2.52 | 16131.25 | 1.47 | 10172.3 | 3.2 | 4.71 | 2.17 | 8873.72 | 8415.31 | 458.41 | |
1.47 | 10172.3 | 8539.61 | 7479.74 | 1059.87 | 2.17 | 14987.19 | 1.45 | 10327.17 | 3.07 | 4.46 | 2.11 | 8960.73 | 9186.71 | -225.97 | |
1.45 | 10327.17 | 8639.87 | 9010.35 | -370.48 | 2.11 | 15008.82 | 1.57 | 10370.44 | 3.85 | 6.02 | 2.45 | 8975.02 | 9591.81 | -616.79 | |
1.57 | 10370.44 | 8804.89 | 9292.3 | -487.41 | 2.45 | 16247.02 | 1.61 | 10484.95 | 4.2 | 6.77 | 2.6 | 9260.92 | 8455.97 | 804.95 | |
1.61 | 10484.95 | 8873.72 | 8406.16 | 467.56 | 2.6 | 16915.73 | 1.58 | 10546.77 | 3.94 | 6.23 | 2.5 | 9332.44 | 8171.25 | 1161.19 | |
1.58 | 10546.77 | 8960.73 | 9171.46 | -210.73 | 2.5 | 16663.9 | 1.55 | 10639.61 | 3.75 | 5.82 | 2.41 | 9469.08 | 9915.44 | -446.37 | |
1.55 | 10639.61 | 8975.02 | 9574.25 | -599.23 | 2.41 | 16526.85 | 1.72 | 10710.06 | 5.09 | 8.75 | 2.96 | 9539.76 | 10642.17 | -1102.42 | |
1.72 | 10710.06 | 9260.92 | 8446.44 | 814.48 | 2.96 | 18421.3 | 1.78 | 10894.36 | 5.64 | 10.04 | 3.17 | 9683.77 | 9591.81 | 91.96 | |
1.78 | 10894.36 | 9332.44 | 8164.48 | 1167.96 | 3.17 | 19391.95 | 1.54 | 10904.36 | 3.65 | 5.62 | 2.37 | 9694.65 | 9024.49 | 670.16 | |
1.54 | 10904.36 | 9469.08 | 9896.49 | -427.41 | 2.37 | 16792.72 | 1.67 | 11133.19 | 4.69 | 7.84 | 2.8 | 9978.55 | 10157.91 | -179.36 | |
1.67 | 11133.19 | 9539.76 | 10621.51 | -1081.75 | 2.8 | 18629.53 | 1.7 | 11426.35 | 4.91 | 8.35 | 2.89 | 10012.91 | 10198.3 | -185.39 | |
1.7 | 11426.35 | 9683.77 | 9574.25 | 109.52 | 2.89 | 19424.8 | 1.66 | 11483.3 | 4.57 | 7.59 | 2.76 | 10035.87 | 9591.81 | 444.06 | |
1.66 | 11483.3 | 9694.65 | 9010.35 | 684.31 | 2.76 | 19062.27 | 1.83 | 11530.38 | 6.16 | 11.3 | 3.36 | 10137.97 | 10036.7 | 101.27 | |
1.83 | 11530.38 | 9978.55 | 10138.16 | -159.61 | 3.36 | 21139.03 | 1.8 | 11636.61 | 5.83 | 10.5 | 3.24 | 10150.81 | 10279.06 | -128.25 | |
1.8 | 11636.61 | 10012.91 | 10178.44 | -165.53 | 3.24 | 20945.9 | 1.72 | 11685.42 | 5.09 | 8.75 | 2.96 | 10150.81 | 10279.06 | -128.25 | |
1.72 | 11685.42 | 10035.87 | 9574.25 | 461.62 | 2.96 | 20098.93 | 1.65 | 11755.89 | 4.46 | 7.35 | 2.71 | 10156.15 | 9834.57 | 321.58 | |
1.65 | 11755.89 | 10137.97 | 10017.32 | 120.65 | 2.71 | 19358.03 | 1.65 | 11829.51 | 4.52 | 7.47 | 2.73 | 10166.75 | 10722.8 | -556.04 | |
1.65 | 11829.51 | 10150.81 | 10259 | -108.19 | 2.73 | 19558.13 | 1.78 | 11888.4 | 5.64 | 10.04 | 3.17 | 10172.3 | 10036.7 | 135.6 | |
1.78 | 11888.4 | 10150.81 | 10259 | -108.19 | 3.17 | 21161.35 | 1.84 | 12092.16 | 6.23 | 11.46 | 3.39 | 10327.17 | 9915.44 | 411.73 | |
1.84 | 12092.16 | 10156.15 | 9815.93 | 340.22 | 3.39 | 22249.58 | 1.85 | 12168.77 | 6.3 | 11.63 | 3.41 | 10370.44 | 10601.85 | -231.41 | |
1.85 | 12168.77 | 10166.75 | 10702.07 | -535.32 | 3.41 | 22471.66 | 1.87 | 12438.43 | 6.5 | 12.14 | 3.48 | 10484.95 | 10883.97 | -399.02 | |
1.87 | 12438.43 | 10172.3 | 10017.32 | 154.98 | 3.48 | 23218.4 | 2.03 | 12787.44 | 8.41 | 17.09 | 4.13 | 10546.77 | 10682.49 | -135.72 | |
2.03 | 12787.44 | 10327.17 | 9896.49 | 430.69 | 4.13 | 26001.12 | 1.93 | 13261.7 | 7.23 | 13.97 | 3.74 | 10639.61 | 10521.19 | 118.42 | |
1.93 | 13261.7 | 10370.44 | 10581.23 | -210.79 | 3.74 | 25639.29 | 2.03 | 13298.56 | 8.41 | 17.09 | 4.13 | 10710.06 | 11527.68 | -817.62 | |
2.03 | 13298.56 | 10484.95 | 10863.18 | -378.23 | 4.13 | 27040.4 | 1.95 | 13381.07 | 7.38 | 14.36 | 3.79 | 10894.36 | 11889.07 | -994.71 | |
1.95 | 13381.07 | 10546.77 | 10661.79 | -115.02 | 3.79 | 26048.48 | 2.01 | 13643.99 | 8.16 | 16.43 | 4.05 | 10904.36 | 10440.5 | 463.86 | |
2.01 | 13643.99 | 10639.61 | 10500.67 | 138.93 | 4.05 | 27469.89 | 2.07 | 13826.9 | 8.91 | 18.48 | 4.3 | 11133.19 | 11246.25 | -113.07 | |
2.07 | 13826.9 | 10710.06 | 11507.65 | -797.59 | 4.3 | 28667.77 | 2.15 | 14134.15 | 9.89 | 21.24 | 4.61 | 11426.35 | 11407.1 | 19.25 | |
2.15 | 14134.15 | 10894.36 | 11870.16 | -975.81 | 4.61 | 30341.32 | 2.36 | 14770.7 | 13.14 | 31.02 | 5.57 | 11483.3 | 11165.79 | 317.51 | |
2.36 | 14770.7 | 10904.36 | 10420.11 | 484.25 | 5.57 | 34858.85 | 2.26 | 14869.74 | 11.54 | 26.09 | 5.11 | 11530.38 | 12209.88 | -679.5 | |
2.26 | 14869.74 | 11133.19 | 11225.7 | -92.51 | 5.11 | 33605.62 | 2.44 | 15085.68 | 14.53 | 35.45 | 5.95 | 11636.61 | 12009.42 | -372.81 | |
2.44 | 15085.68 | 11426.35 | 11386.81 | 39.54 | 5.95 | 36809.05 | 2.29 | 15170.25 | 11.96 | 27.34 | 5.23 | 11685.42 | 11527.68 | 157.75 | |
2.29 | 15170.25 | 11483.3 | 11145.14 | 338.16 | 5.23 | 34689.31 | 2.53 | 15448.3 | 16.26 | 41.19 | 6.42 | 11755.89 | 11085.3 | 670.59 | |
2.53 | 15448.3 | 11530.38 | 12192.39 | -662.02 | 6.42 | 39135.7 | 2.52 | 15974.4 | 16 | 40.33 | 6.35 | 11829.51 | 11125.55 | 703.97 | |
2.52 | 15974.4 | 11636.61 | 11991 | -354.39 | 6.35 | 40255.5 | 2.27 | 16240.57 | 11.75 | 26.71 | 5.17 | 11888.4 | 11889.07 | -0.67 | |
2.27 | 16240.57 | 11685.42 | 11507.65 | 177.77 | 5.17 | 36920.22 | 2.19 | 16377.2 | 10.55 | 23.14 | 4.81 | 12092.16 | 12249.96 | -157.79 | |
2.19 | 16377.2 | 11755.89 | 11064.58 | 691.31 | 4.81 | 35920.65 | 2.67 | 16409.9 | 19.11 | 51.08 | 7.15 | 12168.77 | 12290.02 | -121.25 | |
2.67 | 16409.9 | 11829.51 | 11104.86 | 724.66 | 7.15 | 43869.14 | 2.57 | 16562.52 | 16.91 | 43.4 | 6.59 | 12438.43 | 12410.19 | 28.24 | |
2.57 | 16562.52 | 11888.4 | 11870.16 | 18.24 | 6.59 | 42510.46 | 2.55 | 17086.62 | 16.65 | 42.5 | 6.52 | 12787.44 | 13409.41 | -621.97 | |
2.55 | 17086.62 | 12092.16 | 12232.67 | -140.51 | 6.52 | 43627.83 | 2.5 | 17102.3 | 15.63 | 39.06 | 6.25 | 13261.7 | 12810.34 | 451.36 | |
2.5 | 17102.3 | 12168.77 | 12272.95 | -104.18 | 6.25 | 42755.75 | 2.67 | 17181.38 | 19.11 | 51.08 | 7.15 | 13298.56 | 13409.41 | -110.85 | |
2.67 | 17181.38 | 12438.43 | 12393.79 | 44.64 | 7.15 | 45931.56 | 13381.07 | 12890.3 | 490.77 | ||||||
12787.44 | 13400.77 | -613.33 | 13643.99 | 13289.71 | 354.28 | ||||||||||
13261.7 | 12796.58 | 465.12 | 13826.9 | 13648.65 | 178.25 | ||||||||||
13298.56 | 13400.77 | -102.21 | 14134.15 | 14086.67 | 47.48 | ||||||||||
13381.07 | 12877.14 | 503.93 | 14770.7 | 15356.67 | -585.97 | ||||||||||
13643.99 | 13279.93 | 364.06 | 14869.74 | 14762.15 | 107.59 | ||||||||||
13826.9 | 13642.44 | 184.46 | 15085.68 | 15831.29 | -745.61 | ||||||||||
14134.15 | 14085.51 | 48.64 | 15170.25 | 14920.82 | 249.43 | ||||||||||
14770.7 | 15374.44 | -603.75 | 15448.3 | 16383.88 | -935.58 | ||||||||||
14869.74 | 14770.26 | 99.48 | 15974.4 | 16305.01 | -330.61 | ||||||||||
15085.68 | 15857.79 | -772.12 | 16240.57 | 14841.5 | 1399.07 | ||||||||||
15170.25 | 14931.37 | 238.88 | 16377.2 | 14365.03 | 2012.17 | ||||||||||
15448.3 | 16421.7 | -973.4 | 16409.9 | 17210.5 | -800.6 | ||||||||||
15974.4 | 16341.14 | -366.74 | 16562.52 | 16580.94 | -18.42 | ||||||||||
16240.57 | 14850.82 | 1389.75 | 17086.62 | 16502.14 | 584.48 | ||||||||||
16377.2 | 14367.47 | 2009.73 | 17102.3 | 16186.67 | 915.63 | ||||||||||
16409.9 | 17267.56 | -857.66 | 17181.38 | 17210.5 | -29.12 | ||||||||||
16562.52 | 16623.1 | -60.58 | |||||||||||||
17086.62 | 16542.54 | 544.08 | |||||||||||||
17102.3 | 16220.31 | 881.99 | |||||||||||||
17181.38 | 17267.56 | -86.18 |
X|Y | 4527.24 | 5792.65 | 7058.07 | 8323.48 | 9588.89 | 10854.31 | 12119.72 | 13385.14 | 14650.55 | 15915.97 | 17181.38 | Nx |
0.63 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |
0.83 | 0 | 6 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 8 |
1.04 | 0 | 0 | 10 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 16 |
1.24 | 0 | 0 | 0 | 9 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 15 |
1.45 | 0 | 0 | 0 | 0 | 8 | 3 | 0 | 0 | 0 | 0 | 0 | 11 |
1.65 | 0 | 0 | 0 | 0 | 1 | 13 | 2 | 0 | 0 | 0 | 0 | 16 |
1.85 | 0 | 0 | 0 | 0 | 0 | 1 | 10 | 1 | 0 | 0 | 0 | 12 |
2.06 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 6 | 0 | 0 | 0 | 6 |
2.26 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 1 | 1 | 4 |
2.47 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 1 | 4 |
2.67 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 6 | 7 |
Ny | 1 | 6 | 12 | 15 | 15 | 17 | 12 | 6 | 3 | 5 | 8 | n=100 |
X | Y | M*(X) | 1.57 | |||||||||
0.63 | 4527.24 | M*(Y) | 10639.19 | |||||||||
0.65 | 5108.71 | D*(X) | 0.28 | 0.89 | 37355948.07 | |||||||
0.65 | 5207.56 | D*(Y) | 10313962.39 | 4.37 | 140933520.21 | |||||||
0.77 | 5458.41 | Исправл. Среднее Квадратичное откл*(X) | 0.53 | 4.57 | 153893266.7 | |||||||
0.78 | 5507.01 | Исправл. Среднее Квадратичное откл*(Y) | 3211.54 | 1.63 | 80437569.59 | |||||||
0.74 | 5673.08 | 0.17 | 16546759.14 | |||||||||
0.8 | 5728.14 | 0.1 | 786705.64 | |||||||||
0.85 | 5812.48 | 0.97 | 26303798.62 | |||||||||
0.87 | 5965.57 | 1.44 | 45241419.15 | |||||||||
0.96 | 6149.17 | 1.93 | 48273110.16 | |||||||||
0.92 | 6255.46 | 3.23 | 139221919.02 | 2.36 | 14770.7 | |||||||
0.9 | 6329.59 | 8.52 | 342402222.23 | 2.44 | 15085.68 | |||||||
1.09 | 6332.23 | 2.29 | 15170.25 | |||||||||
0.86 | 6337.1 | 2.27 | 16240.57 | |||||||||
0.82 | 6385.75 | |||||||||||
0.95 | 6391.24 | |||||||||||
0.93 | 6595.45 | |||||||||||
0.96 | 6738.95 | |||||||||||
0.95 | 6838.89 | |||||||||||
0.79 | 7091.04 | |||||||||||
0.99 | 7097.94 | |||||||||||
0.99 | 7253.38 | |||||||||||
1.09 | 7318.54 | |||||||||||
1.02 | 7379.69 | |||||||||||
1.05 | 7391.09 | |||||||||||
1.03 | 7408.13 | |||||||||||
1.14 | 7467.51 | |||||||||||
1.09 | 7515.75 | |||||||||||
1.09 | 7574.01 | |||||||||||
1.04 | 7608.59 | |||||||||||
1.01 | 7717.17 | |||||||||||
1.01 | 7803.21 | |||||||||||
1.04 | 7881.1 | |||||||||||
1.21 | 8250.38 | |||||||||||
1.12 | 8464.47 | |||||||||||
1.27 | 8506.9 | |||||||||||
1.27 | 8506.9 | |||||||||||
1.27 | 8506.9 | |||||||||||
1.12 | 8525.01 | |||||||||||
1.05 | 8539.61 | |||||||||||
1.31 | 8639.87 | |||||||||||
1.35 | 8804.89 | |||||||||||
1.21 | 8873.72 | |||||||||||
1.33 | 8960.73 | |||||||||||
1.4 | 8975.02 | |||||||||||
1.21 | 9260.92 | |||||||||||
1.17 | 9332.44 | |||||||||||
1.45 | 9469.08 | |||||||||||
1.57 | 9539.76 | |||||||||||
1.4 | 9683.77 | |||||||||||
1.31 | 9694.65 | |||||||||||
1.49 | 9978.55 | |||||||||||
1.5 | 10012.91 | |||||||||||
1.4 | 10035.87 | |||||||||||
1.47 | 10137.97 | |||||||||||
1.51 | 10150.81 | |||||||||||
1.51 | 10150.81 | |||||||||||
1.44 | 10156.15 | |||||||||||
1.59 | 10166.75 | |||||||||||
1.47 | 10172.3 | |||||||||||
1.45 | 10327.17 | |||||||||||
1.57 | 10370.44 | |||||||||||
1.61 | 10484.95 | |||||||||||
1.58 | 10546.77 | |||||||||||
1.55 | 10639.61 | |||||||||||
1.72 | 10710.06 | |||||||||||
1.78 | 10894.36 | |||||||||||
1.54 | 10904.36 | |||||||||||
1.67 | 11133.19 | |||||||||||
1.7 | 11426.35 | |||||||||||
1.66 | 11483.3 | |||||||||||
1.83 | 11530.38 | |||||||||||
1.8 | 11636.61 | |||||||||||
1.72 | 11685.42 | |||||||||||
1.65 | 11755.89 | |||||||||||
1.65 | 11829.51 | |||||||||||
1.78 | 11888.4 | |||||||||||
1.84 | 12092.16 | |||||||||||
1.85 | 12168.77 | |||||||||||
1.87 | 12438.43 | |||||||||||
2.03 | 12787.44 | |||||||||||
1.93 | 13261.7 | |||||||||||
2.03 | 13298.56 | |||||||||||
1.95 | 13381.07 | |||||||||||
2.01 | 13643.99 | |||||||||||
2.07 | 13826.9 | |||||||||||
2.15 | 14134.15 | |||||||||||
2.36 | 14770.7 | |||||||||||
2.26 | 14869.74 | |||||||||||
2.44 | 15085.68 | |||||||||||
2.29 | 15170.25 | |||||||||||
2.53 | 15448.3 | |||||||||||
2.52 | 15974.4 | |||||||||||
2.27 | 16240.57 | |||||||||||
2.19 | 16377.2 | |||||||||||
2.67 | 16409.9 | |||||||||||
2.57 | 16562.52 | |||||||||||
2.55 | 17086.62 | |||||||||||
2.5 | 17102.3 | |||||||||||
2.67 | 17181.38 |
1.72 | 10710.06 | |||||||||||||||
0.85 | 5812.48 | 1.09 | 6332.23 | 1.78 | 10894.36 | |||||||||||
0.87 | 5965.57 | 1.09 | 7318.54 | 1.67 | 11133.19 | |||||||||||
0.96 | 6149.17 | 1.05 | 7391.09 | 1.7 | 11426.35 | 4527,23688-5792,65121 | 5792,65121-7058,06555 | 7058,06555-8323,47989 | 8323,47989-9588,89423 | 9588,89423-10854,30856 | 10854,30856-12119,7229 | 12119,7229-13385,13724 | 13385,13724-14650,55157 | 14650,55157-15915,96591 | 15915,96591-17181,38025344 | |
0.92 | 6255.46 | 1.14 | 7467.51 | 1.66 | 11483.3 | 0,6266666-0,8313333 | 7 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0.9 | 6329.59 | 1.09 | 7515.75 | 1.83 | 11530.38 | 0,8313333-1,036 | 0 | 10 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0.86 | 6337.1 | 1.09 | 7574.01 | 1.8 | 11636.61 | 1,036-1,2406666 | 0 | 1 | 8 | 6 | 0 | 0 | 0 | 0 | 0 | 0 |
0.95 | 6391.24 | 1.04 | 7608.59 | 1.72 | 11685.42 | 1,2406666-1,4453333 | 0 | 0 | 0 | 8 | 5 | 0 | 0 | 0 | 0 | 0 |
0.93 | 6595.45 | 1.04 | 7881.1 | 1.65 | 11829.51 | 1,4453333-1,65 | 0 | 0 | 0 | 1 | 13 | 2 | 0 | 0 | 0 | 0 |
0.96 | 6738.95 | 1.21 | 8250.38 | 1.78 | 11888.4 | 1,65-1,8546666 | 0 | 0 | 0 | 0 | 1 | 10 | 1 | 0 | 0 | 0 |
0.95 | 6838.89 | 1.12 | 8464.47 | 1.84 | 12092.16 | 1,8546666-2,0593333 | 0 | 0 | 0 | 0 | 0 | 0 | 6 | 0 | 0 | 0 |
0.99 | 7097.94 | 1.12 | 8525.01 | 1.85 | 12168.77 | 2,0593333-2,264 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 1 | 1 |
0.99 | 7253.38 | 1.05 | 8539.61 | 2,264-2,4686666 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 1 | ||
1.02 | 7379.69 | 1.21 | 8873.72 | 2.53 | 15448.3 | 2,4686666-2,6733333 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 6 |
1.03 | 7408.13 | 1.21 | 9260.92 | 2.52 | 15974.4 | |||||||||||
1.01 | 7717.17 | 1.17 | 9332.44 | 2.67 | 16409.9 | |||||||||||
1.01 | 7803.21 | 2.57 | 16562.52 | |||||||||||||
2.55 | 17086.62 | 2.36 | 14770.7 | |||||||||||||
2.5 | 17102.3 | 2.44 | 15085.68 | |||||||||||||
1.27 | 8506.9 | 1.57 | 9539.76 | 2.67 | 17181.38 | 2.29 | 15170.25 | |||||||||
1.27 | 8506.9 | 1.5 | 10012.91 | 2.03 | 12787.44 | 2.27 | 16240.57 | |||||||||
1.27 | 8506.9 | 1.47 | 10137.97 | 1.93 | 13261.7 | |||||||||||
1.31 | 8639.87 | 1.51 | 10150.81 | 2.03 | 13298.56 | |||||||||||
1.35 | 8804.89 | 1.51 | 10150.81 | 1.95 | 13381.07 | |||||||||||
1.33 | 8960.73 | 1.47 | 10137.97 | 2.01 | 13643.99 | |||||||||||
1.4 | 8975.02 | 1.51 | 10150.81 | |||||||||||||
1.45 | 9469.08 | 1.51 | 10150.81 | |||||||||||||
1.4 | 9683.77 | 1.59 | 10166.75 | 2.07 | 13826.9 | |||||||||||
1.31 | 9694.65 | 1.47 | 10172.3 | 2.15 | 14134.15 | |||||||||||
1.49 | 9978.55 | 1.57 | 10370.44 | 2.26 | 14869.74 | |||||||||||
1.4 | 10035.87 | 1.61 | 10484.95 | 2.19 | 16377.2 | |||||||||||
1.45 | 10327.17 | 1.58 | 10546.77 | |||||||||||||
1.55 | 10639.61 | |||||||||||||||
1.54 | 10904.36 | |||||||||||||||
1.65 | 11755.89 |
i | pi | Niштрих=pi*100 | i | pi | Niштрих=pi*100 |
1 | 0.11 | 11.31 | 6 | 0.13 | 13.42 |
2 | 0.09 | 9.3 | 7 | 0.12 | 11.76 |
3 | 0.13 | 12.75 | 8 | 0.05 | 4.83 |
4 | 0.15 | 14.65 | 9 | 0.04 | 3.99 |
5 | 0.15 | 15.3 | 10 | 0.03 | 2.69 |
Проверка гипотезы о нормальном распределении | Сравнение выборочной средней с гипотетической генеральной средней (Дисперсия не известна) | |||||
I | Xi | Ni | piтеор | Строим вспомогательную функцию | ||
1 | 0.63 | 1 | = | T=((X с чертой-а0)*корень (n))/S | ||
2 | 0.83 | 8 | S | 0.53 | ||
3 | 1.04 | 16 | T= | -0.63 | X c чертой | 1.47 |
4 | 1.24 | 15 | а0 | 1.5 | ||
5 | 1.45 | 11 | Правило 1 | альфа | 0.05 | |
6 | 1.65 | 16 | к= | 99 | ||
7 | 1.85 | 12 | tдвухстороннее | 1.99 | ||
8 | 2.06 | 6 | ||||
9 | 2.26 | 4 | tправостороннее | 1.66 | ||
10 | 2.47 | 4 | Xс чертой* | 1.47 | ||
2.67 | 7 | сред. Квадр откл.* | 0.53 | tлевостор | -1.66 | |
Частота | серед. Инт-лов | Частота | ||||
i | Xi | Xi+1 | ni | X*i=(Xi+Xi+1)/2 | ni* | |
1 | 0.63 | 0.83 | 9 | 0.73 | 9 | 4.94 |
2 | 0.83 | 1.04 | 16 | 0.93 | 16 | 4.6 |
3 | 1.04 | 1.24 | 15 | 1.14 | 15 | 1.65 |
4 | 1.24 | 1.45 | 11 | 1.34 | 11 | 0.18 |
5 | 1.45 | 1.65 | 16 | 1.55 | 16 | 0.1 |
6 | 1.65 | 1.85 | 12 | 1.75 | 12 | 0.96 |
7 | 1.85 | 2.06 | 6 | 1.96 | 6 | 1.42 |
8 | 2.06 | 2.26 | 4 | 2.16 | 4 | 1.91 |
9 | 2.26 | 2.47 | 4 | 2.37 | 4 | 3.21 |
10 | 2.47 | 2.67 | 7 | 2.57 | 7 | 8.49 |
номер интервала | Границы интервала | Границы интервалов | ||||
i | Xi | Xi+1 | Xi-X*cчерт | Xi+1-X*cчер | Zi=(Xi-X*cчерт)/сред. Квадр откл.* | Zi+1=(Xi+1-X*cчерт)/сред. Квадр откл.* |
1 | 0.63 | 0.83 | -0.64 | 0 | -1.21 | |
2 | 0.83 | 1.04 | -0.64 | -0.43 | -1.21 | -0.82 |
3 | 1.04 | 1.24 | -0.43 | -0.23 | -0.82 | -0.44 |
4 | 1.24 | 1.45 | -0.23 | -0.02 | -0.44 | -0.05 |
5 | 1.45 | 1.65 | -0.02 | 0.18 | -0.05 | 0.34 |
6 | 1.65 | 1.85 | 0.18 | 0.38 | 0.34 | 0.73 |
7 | 1.85 | 2.06 | 0.38 | 0.59 | 0.73 | 1.12 |
8 | 2.06 | 2.26 | 0.59 | 0.79 | 1.12 | 1.51 |
9 | 2.26 | 2.47 | 0.79 | 1 | 1.51 | 1.9 |
10 | 2.47 | 2.67 | 1 | 1.9 | 0 | |
Границы интервалов | ||||||
Zi=(Xi-X*cчерт)/сред. Квадр откл.* | Zi+1=(Xi+1-X*cчерт)/сред. Квадр откл.* | Ф(Zi) | Ф(Zi+1) | pi | Niштрих=pi*100 | ni |
бескон с минусом | -1.21 | -0.5 | -0.39 | 0.11 | 11.31 | 9 |
-1.21 | -0.82 | -0.39 | -0.29 | 0.09 | 9.3 | 16 |
-0.82 | -0.44 | -0.29 | -0.17 | 0.13 | 12.75 | 15 |
-0.44 | -0.05 | -0.17 | -0.02 | 0.15 | 14.65 | 11 |
-0.05 | 0.34 | -0.02 | 0.13 | 0.15 | 15.3 | 16 |
0.34 | 0.73 | 0.13 | 0.27 | 0.13 | 13.42 | 12 |
0.73 | 1.12 | 0.27 | 0.38 | 0.12 | 11.76 | 6 |
1.12 | 1.51 | 0.38 | 0.43 | 0.05 | 4.83 | 4 |
1.51 | 1.9 | 0.43 | 0.47 | 0.04 | 3.99 | 4 |
1.9 | бескон | 0.47 | 0.5 | 0.03 | 2.69 | 7 |
((ni-ni`)^2)/n`^2 | ||||||
7.16 | Хи^2 набл | 16.66 | ||||
27.53 | ||||||
17.65 | 16.66 | |||||
8.26 | ||||||
16.73 | ||||||
10.73 | ||||||
3.06 | ||||||
3.31 | ||||||
4.01 | ||||||
18.22 |
Международный университет природы, общества и человека