STATISTIČNE METODE V GRADBENIŠTVU
VAJE
 

Predstavitev
o predmetu, vsebina, cilji, obveznosti

Literatura
učbeniki, skripti, članki, prosojnice, ostali viri

Izpitni roki
roki v tekočem izpitnem obdobju, obvestila in rezultati

Kolokviji
zahteve, naloge, rešitve

Vaje
zahteve, navodila, gradivo, naloge

Obvestila
dogajanje pri predmetu med študijskim letom

O vajah

Gradivo

  • 9.12.2016. Vaje iz ocenjevanja parametrov. Gradivo:
    data1={6, 4, 6, 4, 6, 9, 6, 6, 5, 7}

    data2={8.72073, 7.90815, 4.44089, 5.82854, 7.90022, 7.30268, 3.98058, \
    4.95666, 7.00489, 6.20399, 8.68992, 5.39319, 7.75088, 4.15053, \
    8.92062, 6.98772, 4.09718, 4.26923, 7.28215, 4.34188, 5.4261, \
    4.01735, 6.13597, 4.11961, 3.31873, 6.35471, 6.76989, 5.66351, \
    4.54803, 6.17713, 6.3167, 5.46797, 5.3404, 7.18028, 6.30806, 6.66065, \
    5.54853, 7.60327, 6.6085, 5.77102, 6.84967, 5.75482, 6.04458, \
    6.87929, 5.95771, 4.07969, 5.0242, 4.67874, 9.26624, 7.34469, \
    4.89449, 6.09494, 6.18101, 7.44801, 5.01103, 5.21183, 4.26869, \
    4.63653, 6.62369, 6.89998, 7.2263, 8.03922, 5.57789, 6.07645, \
    6.43831, 7.33551, 4.51034, 7.13241, 9.82293, 5.37822, 6.15768, \
    5.66388, 6.0268, 6.87205, 6.69175, 5.59558, 6.61051, 3.93891, \
    5.37887, 5.7209, 3.82971, 6.16093, 5.42807, 5.53559, 6.25645, \
    6.77867, 7.29896, 8.24314, 5.63872, 3.48117, 8.89719, 4.51949, \
    7.78279, 4.74038, 4.77128, 4.70279, 6.00925, 4.72399, 5.64739, \
    9.03132}

    data3={4.97192, 6.509, 5.64253, 8.20639, 4.44934, 3.84073, 7.05453, \
    3.84012, 6.55209, 5.21848, 5.41998, 7.10553, 5.35951, 8.15129, \
    5.49527, 6.25503, 5.87273, 7.80819, 4.83044, 6.69572, 9.45262, \
    5.48345, 6.12734, 5.27495, 6.71991, 7.58447, 4.84066, 4.56854, \
    6.37639, 9.38732, 4.09493, 3.87029, 7.22214, 4.58385, 4.05183, \
    5.71328, 4.76763, 6.91949, 6.85024, 6.84698, 8.21805, 4.49517, \
    3.33059, 8.16196, 6.68491, 3.65042, 6.93533, 5.81867, 7.42969, \
    6.23092, 8.15335, 9.48219, 4.42251, 4.94332, 8.55187, 7.02451, \
    7.20514, 3.09911, 5.54476, 5.90183, 6.62212, 10.8416, 4.99372, \
    5.85493, 5.52127, 6.5155, 4.61641, 6.44312, 4.29131, 7.85667, \
    5.78947, 3.20421, 5.3884, 4.70469, 1.41877, 4.17213, 6.42061, \
    6.65273, 5.87128, 4.47821, 6.10272, 5.96061, 4.5207, 8.24602, \
    5.74114, 6.08658, 8.56613, 8.82236, 4.27753, 5.44198, 6.00023, \
    8.63231, 6.81906, 2.83386, 5.25458, 8.46123, 10.3564, 7.69412, \
    5.06949, 5.05983}

    data4={11.296, 8.69167, 10.1976, 14.0655, 10.481, 12.2475, 10.0058, \
    10.9912, 10.7126, 13.8973, 11.2813, 10.1301, 13.1221, 11.8017, \
    16.4057, 11.4006, 10.5897, 12.7535, 10.887, 11.8155, 11.6062, \
    11.3887, 11.9004, 11.1533, 13.3098, 10.5502, 14.2782, 12.6258, \
    12.0764, 12.7137, 15.9421, 14.05, 10.481, 10.4962, 10.5428, 12.6916, \
    13.7815, 11.3053, 15.0376, 13.829, 13.479, 12.5457, 10.4552, 11.9161, \
    9.37042, 13.2664, 12.7025, 8.72866, 13.4045, 14.854, 12.3168, \
    13.3084, 15.7892, 9.13275, 13.4252, 8.19152, 14.1715, 12.7932, \
    12.3941, 14.346, 12.9044, 12.4374, 13.6423, 10.9375, 10.8687, \
    11.7834, 11.4042, 14.0684, 10.4528, 9.82879, 13.992, 14.3864, \
    11.6756, 12.9651, 11.6302, 12.6459, 12.0164, 13.2789, 10.9215, \
    10.0233, 13.6912, 9.92336, 12.0227, 11.6365, 9.56233, 11.9824, \
    9.12212, 10.3676, 10.2211, 9.93323, 12.4577, 11.7329, 11.159, \
    14.4011, 11.8526, 12.1044, 13.2984, 12.0929, 13.0904, 11.3197}

  • Em={18200, 22400, 18100, 22700, 20000, 22500, 19500, 19900, 20900, 20500}
    Določite: i) verjetnost, da je pričakovana vrednost za elastični modul tega jekla manjša ali enaka 20000, ii) obojestranski interval zaupanja za varianco elastičnega modula, če je predpisana stopnja zaupanja 5%.
  • 8.1.2015: gradivo za analizo variance

    EnFaktor={{7.59, 6.11121, 6.04868, 6.53273, 7.31522, 8.74574, 4.99227, 7.33811,
    3.18659, 6.16143}, {5.51281, 6.74444, 3.01842, 4.89159, 2.92502,
    5.77824, 4.82232, 5.45637, 6.85289, 6.76886}, {8.60656, 6.0644,
    4.97711, 4.68518, 4.73858, 8.06751, 4.66182, 2.20851, 7.2668,
    9.0722}, {7.56447, 6.29151, 3.38779, 5.9479, 7.79934, 1.15993,
    4.75085, 3.3994, 2.09101, 6.01185}, {5.78433, 7.42615, 7.40659,
    7.82633, 6.76377, 5.42074, 7.01437, 3.4384, 4.23992, 4.48483}}

    DvaFaktorja={{{4.64883, 7.29783, 4.05152, 4.68928, 2.7932}, {3.77179, 6.70188,
    6.54742, 5.43259, 5.3341}, {5.02124, 6.86731, 5.60363, 6.28557,
    3.74968}, {6.92407, 6.63122, 4.72998, 6.40254,
    3.60192}}, {{-3.56331, 1.30922, 1.06819, 2.54965,
    1.45402}, {1.8613, 2.16925, 1.63197, -0.408088,
    0.895021}, {-0.629978, 1.55556, 2.82622, -1.17857,
    1.08283}, {0.371285, 0.820317, -1.3138, 0.913504,
    0.277102}}, {{7.68883, 11.2276, 9.83911, 9.87365,
    10.8872}, {7.94078, 11.2322, 11.3455, 10.5701, 12.5071}, {8.86017,
    9.48733, 11.006, 10.083, 9.71244}, {7.57989, 10.5698, 10.8227,
    9.65426, 9.88011}}}

    Cevi={{ 144.7313 , 108.0034 , 175.9142 , 125.2900 , 169.6925 , 109.3044 , 120.5787 , 82.3577 , 112.5889 , 99.8897 , 157.7808 , 120.4167 },{ 61.9442 , 98.8224 , 119.8770 , 178.6840 , 92.7511 , 97.5889 , 61.6720 , 113.2591 , 90.7922 , 104.2391 , 119.1828 , 102.2794 },{ 133.7284 , 150.8185 , 97.2652 , 74.5360 , 79.7253 , 142.7191 , 142.8905 , 179.5084 , 161.3702 , 105.7264 , 209.6045 , 102.6036 },{ 172.6977 , 88.3680 , 107.3795 , 99.2868 , 148.3679 , 80.1971 , 159.5947 , 210.1700 , 128.2079 , 128.4023 , 89.3443 , 167.3041 },{ 69.1675 , 153.6746 , 135.4875 , 170.5214 , 123.8352 , 195.0905 , 102.1038 , 128.4009 , 132.2998 , 97.2625 , 76.3742 , 81.6580 }}

    Acc1={{ 0.2530 , 0.3302 , 0.2748 , 0.2086 , 0.3065 , 0.1260 , 0.3191 },{ 0.2967 , 0.2528 , 0.2631 , 0.2095 , 0.2695 , 0.1359 , 0.1180 },{ 0.2364 , 0.3134 , 0.1193 , 0.2575 , 0.2272 , 0.1015 , 0.1915 },{ 0.2395 , 0.1797 , 0.1908 , 0.2591 , 0.1272 , 0.1866 , 0.1709 },{ 0.2177 , 0.2360 , 0.2335 , 0.0916 , 0.3066 , 0.3442 , 0.2792 }}

    Acc2={{ 0.1629 , 0.1720 , 0.1843 , 0.1764 , 0.2203 , 0.1177 , 0.2064 },{ 0.1866 , 0.2310 , 0.1941 , 0.1622 , 0.1626 , 0.2540 , 0.1203 },{ 0.2143 , 0.1806 , 0.2093 , 0.1075 , 0.2414 , 0.1578 , 0.1620 },{ 0.2062 , 0.1175 , 0.2211 , 0.1810 , 0.1837 , 0.2082 , 0.1986 },{ 0.1819 , 0.2122 , 0.1564 , 0.1407 , 0.1405 , 0.0664 , 0.1798 }}

    Acc3={{ 0.2534 , 0.2492 , 0.2787 , 0.2287 , 0.2522 , 0.2200 , 0.2150 },{ 0.2728 , 0.3441 , 0.2514 , 0.1377 , 0.0900 , 0.2243 , 0.1135 },{ 0.1562 , 0.1241 , 0.1806 , 0.2733 , 0.1403 , 0.1342 , 0.1736 },{ 0.2706 , 0.2795 , 0.1851 , 0.0612 , 0.1969 , 0.2901 , 0.2768 },{ 0.1746 , 0.2826 , 0.1172 , 0.1967 , 0.2907 , 0.2112 , 0.1554 }}

  • 12.1.2016: gradivo za linearno regresijo

    X={10.7664, 9.01924, 15.4554, -1.16377, 9.41077, 1.0186, 13.4225, 14.3513, 4.02267, 13.5, 7.47145, 14.0123}
    Y={40.052, 36.1493, 51.7278, 2.17442, 35.7223, 9.86939, 46.3114, 49.1823, 18.9821, 48.7453, 31.3708, 53.2076}
    X1={3.56675, 4.6341, 5.7956, 4.83643, 3.87752, 5.71773, 2.49241, 3.78413, 4.52039, 5.55512, 5.4362, 3.4467}

Zbirka nalog

  • Naloge so namenjene utrjevanju znanja in so neobvezne.
  • Koristne so za utrjevanje znanja in pripravo na kolokvije in izpite.

 

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