{ "metadata": { "name": "", "signature": "sha256:e23919739654351063832d18eccd5ca4c6b6bafaada3dce2475613948ca0f879" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": true, "input": [ "from pylab import *\n", "%matplotlib inline\n", "import statsmodels.api as sm\n", "from scipy.optimize import curve_fit\n", "\n", "# nastavitve za izris grafov (http://matplotlib.org/1.3.1/users/customizing.html)\n", "rc('text', usetex=True)\n", "rc('font', size=12, family='serif', serif=['Computer Modern'])\n", "rc('xtick', labelsize='small')\n", "rc('ytick', labelsize='small')\n", "rc('legend', fontsize='medium')\n", "rc('figure', figsize=(5, 3))\n", "rc('lines', linewidth=2.0)\n", "rc('axes', color_cycle=['k'])\n", "rc('contour', negative_linestyle='solid')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Nelinearna regresija" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pri prej\u0161nji temi smo si pogledali, kako poi\u0161\u010demo linearno kombinacijo funkcij $y(x)=\\sum_i c_i f_i(x)$, ki najbolje opi\u0161e podatke $(x_i, y_i, \\epsilon_i)$. Podobno postopamo, \u010de parametri $c_i$ v modelski funkciji nastopajo nelinearno. Minimiziramo namre\u010d izraz \n", "\n", "$$\\chi^2=\\sum\\left(\\frac{y_i-f(c_1,c_2,c_3\\ldots, x_i)}{\\epsilon_i}\\right)^2=\\mathrm{min}.$$\n", "\n", "Pri tem je treba paziti, da, za razliko od linearne regresije, pri nelinearni regresiji ni garancije, da ima izraz $\\chi^2$ en sam minimum. Lahko se pojavi ve\u010d lokalnih minimumov. Za razli\u010dne za\u010detne pribli\u017eke za parametre $c_i$, ki jih pri nelinearni regresiji moramo podati, lahko rutina vrne razli\u010dne krivulje, odvisno pa\u010d, v katerega od lokalnih minimumov je postopek skonvergiral." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Poglejmo si razliko med linearno in nelinearno regresijo na primeru. Na sliki (a) gre prilagajanje premice $y=kx+n$. Na sliki (b) vidimo, da ima $\\chi^2(k, n)$ en sam minimum. Na sliki (c) prilagajamo podatkom funkcijo $y=A\\cos{\\left(2\\pi kx\\right)}$. $\\chi^2(A, k)$, prikazan na sliki (d), ima ve\u010d lokalnih minimumov. \u010ce rutini za nelinearno regresijo predlagamo, da za\u010dne minimum iskati pri $(A, k)=(0.5, 0.8)$, najde lokalni minimum, \u010de pa predlagamo $(A, k)=(1, 1)$, pa najde globalni minimum." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ((axa, axb), (axc, axd)) = subplots(2, 2, figsize=(10, 7))\n", "\n", "podatki=loadtxt('anscombe.dat')\n", "x1=podatki[:, 0]\n", "y1=podatki[:, 1]\n", "x=arange(3, 20.5, 0.5)\n", "fit1=sm.OLS(y1, sm.add_constant(x1, prepend=True)).fit()\n", "f1=lambda x: fit1.params[0] + fit1.params[1] * x\n", "axa.plot(x1, y1, 'ko');\n", "axa.plot(x, f1(x), 'r');\n", "axa.grid(alpha=0.5)\n", "axa.annotate('(a)', xy=(0.03, 0.92), xycoords='axes fraction')\n", "axa.set_xlim([3, 15])\n", "axa.set_ylim([0, 12])\n", "axa.set_xlabel(r'$x$')\n", "axa.set_ylabel(r'$y$')\n", "axa.legend(['podatki', \n", " r'$y=kx+n$' + '\\n' + r'$k=' + '%.2f' % fit1.params[1] + r'$, ' + r'$n=' + '%.2f' % fit1.params[0] + r'$'], loc=4); \n", " \n", "def chi2(k, n):\n", " return log(sum((y1 - k * x1 - n) ** 2))\n", "k=arange(-0.5, 1.5, 0.02)\n", "n=arange(-2.0, 8.05, 0.05)\n", "K, N=meshgrid(k, n)\n", "chi2=frompyfunc(chi2, 2, 1)\n", "Z=chi2(K, N)\n", "axb.contourf(K, N, Z, cmap=\"RdBu_r\")\n", "axb.annotate('(b)', xy=(0.03, 0.92), xycoords='axes fraction')\n", "p=axb.contour(K, N, Z, colors='k', linewidths=1.0)\n", "clabel(p, inline=1, fmt='%.1f');\n", "axb.set_xlim([-0.5, 1.5])\n", "axb.set_ylim([-2, 8])\n", "axb.set_xlabel(r'$k$')\n", "axb.set_ylabel(r'$n$')\n", "\n", "x1=np.linspace(0, 4.0, 100)\n", "y1=cos(2.0 * pi * x1) + 0.5 * cos(1.5 * pi * x1) + np.random.normal(0, 0.2, 100)\n", "axc.plot(x1, y1, 'ko');\n", "axc.grid(alpha=0.5)\n", "axc.annotate('(c)', xy=(0.03, 0.92), xycoords='axes fraction')\n", "axc.set_xlim([0, 4])\n", "axc.set_ylim([-4.0, 1.5])\n", "axc.set_xlabel(r'$x$')\n", "axc.set_ylabel(r'$y$')\n", "\n", "def func(x, A, k):\n", " return A * cos(2.0 * pi * k * x)\n", "params1, cov=curve_fit(func, x1, y1, p0=(1.0, 1.0))\n", "f=lambda x: params1[0] * cos(2.0 * pi * params1[1] * x)\n", "axc.plot(x1, f(x1), 'r')\n", "params2, cov=curve_fit(func, x1, y1, p0=(0.5, 0.8))\n", "f=lambda x: params2[0] * cos(2.0 * pi * params2[1] * x)\n", "axc.plot(x1, f(x1), 'b')\n", "axc.legend(['podatki', \n", " r'$y=A\\cos{\\left(2\\pi kx\\right)}$' + '\\n' + r'$A=' + '%.2f' % params1[0] + r'$, ' + r'$k=' + '%.2f' % params1[1] + r'$',\n", " r'$y=A\\cos{\\left(2\\pi kx\\right)}$' + '\\n' + r'$A=' + '%.2f' % params2[0] + r'$, ' + r'$k=' + '%.2f' % params2[1] + r'$'], loc=4);\n", "\n", "def chi2(a, k): \n", " return log(sum((y1 - a * cos(2.0 * pi * k * x1)) ** 2))\n", "A=arange(0.0, 1.51, 0.02)\n", "k=arange(0.6, 1.11, 0.02)\n", "A1, k1=meshgrid(a, k)\n", "chi2=frompyfunc(chi2, 2, 1)\n", "Z=chi2(A1, k1)\n", "axd.contourf(A1, k1, Z, 15, cmap=\"RdBu_r\")\n", "axd.annotate('(d)', xy=(0.03, 0.92), xycoords='axes fraction')\n", "p=axd.contour(A1, k1, Z, 15, colors='k', linewidths=1.0)\n", "clabel(p, inline=1, fmt='%.1f');\n", "axd.set_ylim([0.6, 1.1])\n", "axd.set_xlim([0.0, 1.5])\n", "axd.set_ylabel(r'$k$')\n", "axd.set_xlabel(r'$A$')\n", "\n", "subplots_adjust(hspace=0.25, wspace=0.15)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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N6tPWaxbxCbozD4IgsH6JD+efvWLLDdVLqWQmfs6bnTomdiyJekqSnuWP/TBmTELiR8TD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3zN4YNTIG8DhCBOcA8I9+KRRDkZSe5QZTLUuWwP79tP39DcpWPU1NDeTk/MDnn79OZ2ereU7p\nP3pUqGr38hLuvt03y8HOXSKRMHXq1D7n0ZPG/CvwPPApQkL2clyrz1Rzs5DGrKkRUmtBQQNnXfbH\n0Dk5AxWAKzAWuNhr2/5Rv8H22bPd3kcfZXNlJQUIMjzsGs9xVNDpBJuTzEz4+GMhR9m9WKUSWlnW\n1QkRsuDgK1zjsjI0gYFoEGLBtf1WX+tr3psRjIxNQagp2Aj0uPXu6rV+UfcjgUuiLZm+jFhkzMLo\n0trW1i24FFw4fYLc4gpyisuRl1fjI3VnbHB3WjHYT/g92A9Pd1ezSLV2dHZxsaSCLEUpGSfThEhX\nZR01Ta1E+kj1Ua5xvh6M8fXAX+wy+rVnWi2FtSouVNRyOu0iucomcpVN1La1I3N3IVIsCK8xYlci\nxa5IR3kWq1qrpbiplYsNjaReKEfe0Yais502rYYwe0dkdo6E2Tkis3MgxM4RBwMp5aXyM2CJjBmm\ntxP8Z8A/ECI6opUr+2xnKJICg8y6y84WHM0dHXFc8xARUoiIgBkzFvDII4OHUE3OrFkwZYoQ2vv8\nc73n1GDnftNNNw0Qovb29lgDPW5V71/mcIbE3HBwcRGub0TE0J9jqAOAxsGBL9rbWQ38Enime3nP\na2xotmRverZbtmwZ03x8oLKS78LDWRwRYX7C2xBWVkLx46OPwptvCmFFKyusrARPYLH4Kq7xRx8h\nAr5ioBCTSCTmL0wFFoK+iaYceIyBYiy/1/rFDBRjFq4zlKpGsvMVZOcVcOF0CtlF5eQUl1NVryI8\nwIexwUIN1103xzEm2I/IQF+czMTeQqPRoqio5ryilHR9MX0txfWNBEvdBMHl58n9Uycw3s+DEA93\nRCaoQ6trbuNCRa1gN5FZQK6yCbmqGamDnV503Rbqz5PurgS7Og2Y0TjSKDs6BTHY0Eh6bhWFnW0U\nd7UjFdkKosvekaVuHsjsHPGxsRtR4fqTEWP9UzbHc3NZWFHBgpycPtsNZoZqMNXyzjvCz5//XN/+\naCQwas0YXLoZP/yw4JT/8MNgZTXouet0ugE2FTNmZ2xxqwAAIABJREFUzCD87FmCqqrIBw4h9Duz\nsrKis7NT/1xjRUaGew0Mpeqqq6t5PyOD1Qhi8kWE4vue13gwUdqD/r2QlYXn2bPg7MxvU1P5rXj4\nzXOHglHfBw88IExhTUsTiiCH0I9qwPE7O2HTJgA+MLD91KlTrwchBoLtXE/lnAro/89cx6VvuRKE\nVKaF64hceSGHTqSSdTqFC4Vl5BSVoWppE4rng/0YFxLA6jvmMzbYn1A/L2zMqCemVqvlVLaclKw8\nMtLPklNRR151PZ4uToztrulaOjGcpxdPJcJbgr2J0qL1LW0kZxdyOiOX3IYm8lRNtKs1RHZHuCZ6\nuHNPeBARYpdrrtUaDi1dao6U13A6q0wf7WrVagizcyTM3oGxDk4sdfMg1M4BR+vRf/1/MmIM+jnB\np6YKBTDvvSd4KHgJ+WRDkZTetVJ6lErBll940mgM37jcf79w3mfOCLMq58wZ9NxjYmIGpO0OHzpE\nanf6+JuICJb0ukbm5rrevwNAYmIiTz7xBCflcqYBa4D/9Rr/5boT9HkvvP228POhh4Rw0vWEoyM8\n9pjgYvzmm8NrDvrRR1BSQmNICPkikTAhpBuD/zPXLzsRomUgCLF6Qxv99Y1L01fmzohn3gwDBXYW\nRgWNRkNKeiZ7d2zn6+MZNLW2sWDKBCbKAlkUN5FxoQEEeUnN1m9Mo9FyIiuP7bu/5ZvMfNwc7Lg5\nMpipof48NOMmxvp64OIw+q2T+tPY1sF35wvYfjCDM7UNTPPxYKKHOw+MCSFS7IafCSw4etOp0XC0\nopZdaQWktTUy3t6FMQ5O3ObmSZidg9GiXZltTWS2DXQPuBpMn+S+MsZz4O/PsmXw7bfwpz8JN6Vu\nDPVSHCAo3nhDMMFauBCSkkZmfCPNCy/ASy8J/Z52CVkZQ+f+1ltvDai7uh34GqgSiUj/8kuW3n33\n6I//GkhMTOTk88/zUno6DXZ2pHz2GUu7m3sbqhlzcHBg/PjxvPTSS8J7oaFBmDHQ1ib0/Rw3zlSn\nMiQMGvBGR0NoqFAsplAIRXhDpatLMIMrLITPPyfR1XXERfgI1oytRUg/7kKoH/sVgkbvTQxCxGwK\noANe77feUjNmYlrb2kg6ksKenTv5LuUMfh4Sls2I4faZMcREhpit8OpBo9Fy7HwuX+z6lsRz+Uid\nHVk+OZI7JkcS5TNymZerpaWjiwMX5HzxYzqnquqI9/FgabAfcwO8cbI1fXxHo9WRXlPPjlP5HGtR\nEmrnwDwXCbOdxbiJRmd8w6kZ+2mLsZMnBXdQFxehhc9QU41NTcKNqLJSMMRavnxkxjfSVFRASIhg\nHpWeDpMnG9zMkOfYKSAeeBK4aCa+WleNTicYa6WmwhtvkBgVpRcsjY2NWFlZ4erqqhcXgH79bwoL\nWVlUJHQ3//57E5/I5RnM4uLNN98U+ml+8QU8/rgQJR4qH34o1BqOGQNZWVeeSWEERlCMxSDUhW0E\n7gW0wG5ADCgBdyAOoU5sPYKTSWO/fVjEmAmoa1CSmHSIPbu/4uCZbGIiQ1k+awrLZsYQ6utl6uFd\nEY1Gy9FzF/li97ckZubj5erE8slRLJ8cSbi3xNTD09PepeaHnEK+SE7jWEUNN3mKuTXEnwWBPriZ\ngZWJTqfjQkMjO07kcqhZibtIxHwXKXNdxHjZjH4E0SLGhsOttwo307/8BV5+ecBqg3U669bBhg2C\nC+nx40PuwzhcjF4z1punnhLSVDffLLh7GgjZzpkzhyO9DGJvBb4DqoAwYOoI+Wr1ZsSuwddfw/Ll\ntEskxIrFXOjxdKBvvdu2bdt45ZVXKCgoIBLBONYOOPrPfzL7qaeMPy4DDPcaXHaG8D/+IYhwnU6o\nH4uOvvLxNRohEpiX12c25kgzwj5jPdYVva0tUhFEmDuwCiE92QD8YOD5FjE2SpRVVvHVJx+z52ga\n6bkK5seMZ/nsWJZOm4z0MpYH5kJvAfZNZj4+3T0U77jJvARYl0bDoYvFfJGcyo+lVYyVuHFriD+L\ngnxGfYbjYCgam9l+9CIHW5RodDrmu0iY6yIhxM60djoWMTYceoqX3dyEdFM/s6oBN8DcXJg4UUjT\nnDpl2HjJyIyoGFMqhShfTY0ws/L++wds0luI2AInEJz2/4gwK9VYDuuXY8SugU6HKjIS94IC1gEb\n+q3uObfegvRrhDTtNmDHKEYFh3sNBuum4O7uzrRp09jk4EDY3r3C/8GRIwYFeZ/jb9okRNLCwyEn\nR+h4Pwr8VE1fLYCiuJSdn3zEnsOp5JZWsnT6ZO6cHcviuElmM8Pxcmg0Wo5n5fL5zm/5JjMPbzdn\n7uxOQcq8zEeAabRajuWX8vmB0ySXVhLi6sytwX7cEuyHt5N5+AVWtrTxxZGLHGpuoF7TxRxnCfNc\nxETZO5mFvQhc39YWm7lUIDu6zJwJt98O33xD3dKlPOjrS1tn5+Cu7E8/LQixX/xiVIQYGLE3pSHE\nYnj1VcHm4I9/FK6FS99vl7/4xS/w8fHhueee48HMTGI1GoqATYxeofZIXYPEb79lV0sL24CXEfJQ\nab3W99hY9NSb3IogxBqBZ4Gxw2g0PlyGew0Gm5CgUqnYv38/94SGkuLujv2xY4IZ8IMPGtw+NDRU\n+MLy+98LC155ZdSEmIWfHvKiUnZ89CG7D5+iuKqO5bOn8JeH7mZu9DjszKA26UpotVpOZOXz+c5E\nvs7Mw9PFkeWTo9j725VmJcC0Wh2nCsv57PtTHCipwNvRgVtD/PhiySwCzKBLAEB9ewc7Dl3kUEsD\nxZ3tzHR255ce/kxycDHYV9IU1Ko7+bS8iiLt8O4J5vCO/hWCz4/p+OAD2seOxePcOaaeO8dL3YsH\nNDn+4AOh4N/NrU/B/3XPI48I0Y7UVOFGu3nzgOjIsmXLWGZjA7feisbKio2TJzPbx8csZkteC2+9\n9Rb7KyuZAvwW2I5Qod1TENRjY2Fvb48/l9o9vYSQpo2+DtzlDc2S7c2ZwkLemTiRP6hUQlPPm28W\nagn7094uRE7b2gQ7lFWrRnbgFn5yqNVq3tywkR0/plBcVctdN8fxt9WrmDN5rFnZTVyO8toGXnv3\nI/aezUPs5MCd0ZHs+fW9ZpWCBKhuamHD50l8X1yBq60Nt4b489GiGcNypx8pkksq+Tg1j4sdLcQ7\nubPC3ZtYJ1dsrcxnMsaRZiWf11ZSoe1knMiZqSI3crQtV70fcxBjWxCKZk2HtzcvyGS8mpbG8whp\nuAMIYmzDhg2C2Ni2DVZ3N77ZsEHo7zhKjGiaEoSat/feE5qHb9166e/uaFBhYSGhOp3QYBwQvfwy\n7/z5zyM3HgOM1DXo8RT7IzALoZL7fYQekyG9on4/X7yYWT/+SFhXF6nAW4y+fYMxvNZSUlJQqVQD\ntvlGKuUPc+YITUHnzIHk5L7Or2o1hQ8/TOi5cxAZecnWw4IFI7J2bQKpFxW8/OjK60qA9dDZpebe\nta8yMcCbHY/dzRhfD1MPySBarY5fvrcbf2dHNs2LJ0LsauohDSCrTskLxzJZ4xnAcz6hOJjA++tK\n5He08lZ1CctsPYm0dbokEruufl/mIy9NzEkXF14BRMA+hLypD+BVXw9//zv88pdCkfNrrwn+TP1I\nTExkyZIlzJs3jyVLlpCYmDi6J3CtxMfD3r1Ca6TNmwXvrBMnhJqyf/9bqJOrrob58yEhwdSjNRo9\nKbwOhArtJmAlkCkS8ekjj7AsPh6+/prZ775LWFcX+a6u/HXmTBYsWXK9uMsDgiDbt28f06ZNM7je\n3tFReP1nzBB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g6QTILyxm+4cf8tRbH9PQ1MLdc+KZM3ksMyZG4iU230izxNWZ1XfMZ/Ud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\nY8L4403JxF9ldv5rRdnWQXZ9CxsS44jz9eJ3ucVklFdxk8YZz1HDjis8/ax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"text": [ "" ] } ], "prompt_number": 55 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Poglejmo si \u0161e, kako poi\u0161\u010demo najbolj\u0161o eksponentno funkcijo $y=Ae^{-\\lambda x}$ za podatke na grafu (a) spodaj. Pri prej\u0161nji temi smo podatke $y_i$ najprej logaritmirali in nato poiskali najbolj\u0161o premico $\\ln{y}=\\ln(A)-\\lambda x,$ graf (b). Iz koeficientov te premice smo prebrali $A$ in $\\lambda$ in narisali ustrezno eksponentno funkcijo (c, rde\u010da \u010drta). S pomo\u010djo nelinearne regresije se lahko vmesnim korakom izognemo in podatkom prilagodimo kar nelinearno odvisnost $y=Ae^{-\\lambda x}$ (c, modra \u010drta). " ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ((axa, axb, axc)) = subplots(3, 1, figsize=(5, 9), sharex='col', sharey='row')\n", "axa.set_xlim([0, 10])\n", "axa.set_ylim([0, 200])\n", "axb.set_ylim([1, 6])\n", "axc.set_ylim([0, 200])\n", "axa.set_ylabel(r'$y$')\n", "axb.set_ylabel(r'$\\ln{y}$')\n", "axc.set_ylabel(r'$y$')\n", "axc.set_xlabel(r'$x$')\n", "\n", "N=50\n", "x=linspace(0, 10, N)\n", "y=exp(log(200.0 * exp(-0.3 * x)) + np.random.normal(0, 0.05, N))\n", "\n", "axa.plot(x, y, 'ko')\n", "axa.legend(['podatki'])\n", "axa.annotate('(a)', xy=(0.03, 0.05), xycoords='axes fraction')\n", "\n", "axb.plot(x, log(y), 'ko')\n", "fit=sm.OLS(log(y), sm.add_constant(x, prepend=True)).fit()\n", "f=lambda x: fit.params[0] + fit.params[1] * x\n", "axb.plot(x, f(x), 'r')\n", "axb.legend(['podatki', r'$\\ln{y}=\\ln{A}-\\lambda x$'])\n", "axb.annotate('(b)', xy=(0.03, 0.05), xycoords='axes fraction')\n", "\n", "axc.plot(x, y, 'ko')\n", "axc.plot(x, exp(f(x)), 'r')\n", "axc.annotate('(c)', xy=(0.03, 0.05), xycoords='axes fraction')\n", "\n", "def func(x, A, lam):\n", " return A * exp(-lam * x)\n", "params, cov=curve_fit(func, x, y, p0=(100.0, -1.0))\n", "f=lambda x: params[0] * exp(-params[1] * x)\n", "axc.plot(x, f(x), 'b--')\n", "\n", "axc.legend(['podatki', \n", " r'$y=Ae^{-\\lambda x}$ (lin.)' + '\\n' + r'$A=' + '%.3g' % exp(fit.params[0]) + r'$, ' + r'$\\lambda=' + '%.3g' % -fit.params[1] + r'$', \n", " r'$y=Ae^{-\\lambda x}$ (nelin.)' + '\\n' + r'$A=' + '%.3g' % params[0] + r'$, ' + r'$\\lambda=' + '%.3g' % params[1] + r'$']);\n", "\n", "subplots_adjust(hspace=0.075, wspace=0.05)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ycuoFq2it0qKioqgBL9ZAKEucRCJIwg6REvNblNEsJlP8/CQhoc9Dg+mrr74adYmTBE0R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\nY2NYLBbsdjsQOODNYrHQ2NgYljXMYDBoGdgXuo+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"text": [ "" ] } ], "prompt_number": 67 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Naloge" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
    \n", "
  1. Teorija kemijske kinetike napove za sigmoidno krivuljo iz podatkov adrenalin.dat naslednjo odvisnost $F/F_\\textrm{max}=c/(a+c)$, kjer pomeni $a$ koncentracijo s polovi\u010dnim maksimalnim u\u010dinkom. S pomo\u010djo nelinearne regresije dolo\u010di koeficienta $F_\\textrm{max}$ in $a$. Primerjaj z rezultati naloge 7.2.\n", "\n", "
  2. V datoteki higgs_to_gammagamma.dat je podan histogram \u0161tevila kandidatov $\\textrm{H}\\rightarrow\\gamma\\gamma$ kot funkcija izmerjene invariantne mase dveh fotonov (v obmo\u010dju med 100 in 160$\\,$GeV/$c^2$). Prvi stolpec podaja zaporedno \u0161tevilo predal\u010dka, drugi pa \u0161tevilo kandidatov v tem predal\u010dku. \u0160irina predal\u010dka je 2$\\,$GeV/$c^2$. Z nelinearno regresijo dolo\u010di maso Higgsovega bozona. Izmerjene podatke opi\u0161i z naslednjo funkcijo:\n", "\n", "$$F(m)=A\\,\\textrm{ozadje}(m,c)+B\\,\\textrm{signal}(m,m_0,\\sigma),$$\n", "\n", "kjer porazdelitev ozadja opi\u0161emo z eksponentno funkcijo, \n", "\n", "$$\\textrm{ozadje}(m,c)=e^{mc},$$ \n", "\n", "in porazdelitev signala z Gausovo, \n", "\n", "$$\\textrm{signal}(m,m_0,\\sigma)=e^{-\\frac{(m-m_0)^2}{2\\sigma^2}}.$$ \n", "\n", "\u0160irino Gausove funkcije nastavi na 1.77$\\,$GeV/$c^2$. Ostali parametri, $A$, $B$, $c$ in $m_0$ so neznani.\n", "
  3. V datoteki RefractiveIndex.txt so zbrane meritve lomnega koli\u010dnika nekega materiala v odvisnosti od valovne dol\u017eine pri razli\u010dnih temperaturah. Odvisnost lomnega koli\u010dnika $n$ od valovne dol\u017eine $\\lambda$ opisuje Sellmeierjeva formula\n", "\n", "$$n(\\lambda)^2-1=\\sum_{i=1}^{N}\\frac{S_i}{1-\\left(\\frac{\\lambda_i}{\\lambda}\\right)^2},$$\n", "\n", "kjer so $\\lambda_i$ valovne dol\u017eine elektronskih prehodov v opazovanem materialu, $S_i$ pa pripadajo\u010de\n", "ute\u017ei. Z nelinearno regresijo dolo\u010di $\\lambda_i$ in $S_i$ (a) ob predpostavki, da meritev lahko opi\u0161emo z enim samim elektronskim prehodom ($N=1$) in (b) ob predpostavki, da lahko meritev opi\u0161emo z dvema takima prehodoma ($N=2$). Nari\u0161i temperaturno odvisnost valovnih dol\u017ein $\\lambda_i$ in ute\u017ei $S_i$.\n", "
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