diff --git a/lecture_26/.ipynb_checkpoints/lecture_26-checkpoint.ipynb b/lecture_26/.ipynb_checkpoints/lecture_26-checkpoint.ipynb new file mode 100644 index 0000000..2fd6442 --- /dev/null +++ b/lecture_26/.ipynb_checkpoints/lecture_26-checkpoint.ipynb @@ -0,0 +1,6 @@ +{ + "cells": [], + "metadata": {}, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/lecture_26/compiled_data.csv b/lecture_26/compiled_data.csv new file mode 100644 index 0000000..ea6a99a --- /dev/null +++ b/lecture_26/compiled_data.csv @@ -0,0 +1,233 @@ +7.8,62,1 +12.3,61,1 +5.2,35,1 +12.4,44,1 +5.2,294,1 +3.3,73,2 +1.4,30,2 +11,10,2 +6.3,39,3 +6.9,60,3 +6.3,100,3 +7.8,249,3 +3.3,282,3 +7,96,4 +3.9,186,4 +2.95,166,4 +8.6,262,4 +2.5,355,4 +20,155,5 +18.5,225,5 +14,45,5 +8.5,340,5 +5.25,95,5 +10,20,5 +6.5,62,5 +8.75,36,5 +3,190,5 +4.5,280,5 +2.25,62,6 +3.9,312,6 +9.3,36,6 +1.9,154,6 +7.3,115,6 +4.75,298,6 +4.6,306,7 +2.3,282,7 +10.1,138,7 +3.3,180,7 +8.5,242,7 +5,10,8 +2.5,350,8 +11,30,8 +4,272,8 +17,38,8 +3.75,85,9 +4.5,102,9 +1.36,118,9 +0.78,157,9 +3.41,198,9 +3,27,10 +1,88,10 +2,20,10 +2.5,155,10 +4.5,281,10 +1.5,75,10 +6.32,70,10 +2.85,135,10 +3.71,250,10 +5.45,60,10 +6.1,95,10 +5.5,92,11 +15,266,11 +12.5,14,11 +7,120,11 +4,132,11 +9,30,12 +5,90,12 +6,350,12 +8,330,12 +5,60,12 +3.81,140,12 +6.35,116,12 +0.635,88,12 +7.62,12,12 +1.27,180,12 +4.2,292,13 +0.8,165,13 +2.5,0,13 +6,43,13 +6.65,317,13 +1,0,13 +2.9,50,13 +7.4,302,13 +16.6,246,13 +2.4,234,13 +0.8,100,14 +3.6,62,14 +3.5,260,14 +4.4,168,14 +5.7,178,14 +3.6,143,14 +1.75,37,14 +1.95,62,14 +2.27,48,14 +4.26,69,14 +4,182,15 +5.8,100,15 +8.3,45,15 +10.2,30,15 +4,278,15 +3.81,120,16 +7.62,77,16 +1.59,212,16 +3.73,265,16 +4.84,259,16 +3.45,243,16 +2.1,186,16 +4.6,24,16 +0.7,343,16 +1.7,211,16 +12.4,33,17 +13.9,103,17 +4.5,307,17 +6.7,313,17 +11.4,328,17 +3,240,18 +4,330,18 +2,90,18 +3.5,315,18 +1,15,18 +4.6,98,19 +3.8,326,19 +3.4,184,19 +4,48,19 +2.6,83,19 +2.75,88,20 +1.33,93,20 +1.5,12,20 +3,280,20 +0.5,24,20 +1.2,130,21 +2.6,122,21 +0.8,296,21 +1.4,100,21 +1.2,290,21 +3,90,22 +2,30,22 +10,90,22 +3,15,22 +7,90,22 +3.3,170,23 +8.8,95,23 +8.1,71,23 +7.7,48,23 +9.6,301,23 +3,70,24 +1.2,10,24 +2.1,15,24 +6,260,24 +0.7,30,24 +12.5,10,25 +11,35,25 +7,320,25 +7.5,292,25 +3.5,134,25 +1,4,26 +2,3.9,26 +3,5.25,26 +4,3.2,26 +5,3,26 +4.5,27,27 +1.1,80,27 +2.6,155,27 +1.9,200,27 +2.8,325,27 +4.3,15,28 +7,145,28 +3.5,80,28 +9,210,28 +5.2,175,28 +1,54,29 +3.5,128,29 +4.5,140,29 +2,54,29 +11,274,29 +3.175,98,30 +1.5875,30,30 +3.175,282,30 +5.08,318,30 +10.795,316,30 +11.2,19,31 +14.5,232,31 +12.3,271,31 +16.9,120,31 +9,177,31 +7.4,276,32 +11.5,321,32 +1.5,36,32 +7.5,22,32 +10.1,66,32 +1.75,10,33 +2.5,123,33 +2,64,33 +1.8,271,33 +4,308,33 +4.5,39,34 +3.25,68,34 +2.5,282,34 +1.25,108,34 +2,122,34 +3.97,18,35 +8.29,196,35 +15.52,232,35 +4.79,93,35 +6.43,153,35 +7.5,74,36 +10.75,86,36 +3.5,96,36 +6.25,172,36 +5.5,38,36 +3.25,192,37 +4.5,88,37 +5,336,37 +4,176,37 +2.5,194,37 +1.5,73,38 +1.33,265,38 +2.15,92,38 +3.5,130,38 +0.9,65,38 +3.75,-2,39 +1.66,89,39 +5.43,76,39 +4.12,54,39 +6.87,63,39 +10,85,40 +9,30,40 +7,180,40 +4.3,22,40 +5.8,281,40 +2.9,1,40 +3.31,29,40 +1.5,10,40 diff --git a/lecture_26/lecture_26.ipynb b/lecture_26/lecture_26.ipynb new file mode 100644 index 0000000..dc43ec3 --- /dev/null +++ b/lecture_26/lecture_26.ipynb @@ -0,0 +1,1060 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "%plot --format svg" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "setdefaults" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Monte Carlo Dart Challenge\n", + "\n", + "![Dart Challenge Figure](../HW2/projectile.png)\n", + "\n", + "In homework 2, you created `projectile.m`, that calculated the height of a dart based upon initial velocity and angle. \n", + "\n", + "For extra credit, we compiled data from 40 students. \n", + "\n", + "Now, we want to calculate the control that these students had over their dart-throwing. \n", + "\n", + "This is called an *inverse problem*. Given, a mean and standard deviation of velocity and angle, we can calculate the mean and standard deviation of the final dart height with a Monte-Carlo model, but we want to determine a reasonable estimate for the mean and standard deviation of these two parameters. \n", + "\n", + "This is an open-ended design problem, so you can choose to fix or vary the parameters at your own discretion. In HW3, we used 15 m/s as an initial velocity. This is a good starting point, but is it fixed? Its up to you to decide. \n", + "\n", + "You can use the Matlab/Octave command `hist` to plot the data and the Monte Carlo model results. And you can compare statistics with `mean` and `std`\n", + "\n", + "State your assumptions and provide documentation for your functions and scripts. \n", + "\n", + "### The goal of this challenge comes down to 3 parts:\n", + "\n", + "1. Determine a range of values for initial velocity and angle (intuition or analysis)\n", + "\n", + "2. Describe initial velocity and angle with random variables (normal distribution? completely random?)\n", + "\n", + "3. Show that your random variables produce the same ditribution of dart locations as our throwers\n", + "\n", + "### Submit your repository via the Google Form:\n", + "[https://goo.gl/forms/MwdfNWgj9UlHnRV83](https://goo.gl/forms/MwdfNWgj9UlHnRV83)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans = 40\r\n" + ] + }, + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "Gnuplot\n", + "Produced by GNUPLOT 5.0 patchlevel 3 \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t \n", + "\t \n", + "\t\n", + "\t\n", + "\t \n", + "\t \n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\t\n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\t\t\n", + "\t\t-20\n", + "\t\n", + "\n", 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