﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.98.6179.21440"?>
<regions>
  <settings>
    <identity>
      <id>f5e38ea3-bfd4-4e2e-a582-23b2b7cb2429</id>
      <revision>5</revision>
    </identity>
    <calculation>
      <precision>3</precision>
      <exponentialThreshold>12</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="1" orientation="Portrait" width="850" height="1100" />
      <margins left="39" right="39" top="39" bottom="39" />
      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
      <backgrounds />
    </pageModel>
    <dependencies>
      <assembly name="SMath Studio Desktop" version="0.98.6179.21440" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Math Region" version="0.98.6179.21440" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Special Functions" version="1.11.6179.21442" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="Text Region" version="1.10.6179.21446" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="Statistical Tools" version="1.0.6232.7997" guid="76f6e9f5-ac86-4ffb-9e4d-284c8daecaf9" />
      <assembly name="Plot Region" version="1.9.6179.21450" guid="c451c2b5-798b-4f08-b9ec-b90963d1ddaa" />
    </dependencies>
    <mode debug="true" />
  </settings>
  <region id="0" left="0" top="9" width="118" height="261" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">XY</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">2.6</e>
        <e type="operand">3</e>
        <e type="operand">23.16</e>
        <e type="operand">4</e>
        <e type="operand">27.57</e>
        <e type="operand">5</e>
        <e type="operand">24.26</e>
        <e type="operand">6</e>
        <e type="operand">16.63</e>
        <e type="operand">8</e>
        <e type="operand">30.41</e>
        <e type="operand">11</e>
        <e type="operand">47.2</e>
        <e type="operand">12</e>
        <e type="operand">50.03</e>
        <e type="operand">13</e>
        <e type="operand">60.33</e>
        <e type="operand">14</e>
        <e type="operand">59.89</e>
        <e type="operand">16</e>
        <e type="operand">71.18</e>
        <e type="operand">17</e>
        <e type="operand">84.27</e>
        <e type="operand">19</e>
        <e type="operand">77.69</e>
        <e type="operand">14</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="30">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="1" left="198" top="9" width="523" height="76" border="true" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math optimize="2" fractionType="auto">
      <input>
        <e type="operand">data</e>
        <e type="operand">char</e>
        <e type="operand">size</e>
        <e type="operand">clr</e>
        <e type="function" args="4">plot</e>
        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="operand">data</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">r3</e>
        <e type="operand">k</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">char</e>
        <e type="operator" args="2">:</e>
        <e type="operand">r4</e>
        <e type="operand">k</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">size</e>
        <e type="operator" args="2">:</e>
        <e type="operand">r5</e>
        <e type="operand">k</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">clr</e>
        <e type="operator" args="2">:</e>
        <e type="operand">1</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">data</e>
        <e type="operand">r3</e>
        <e type="operand">r4</e>
        <e type="operand">r5</e>
        <e type="function" preserve="true" args="4">augment</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="2" left="198" top="90" width="273" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X</e>
        <e type="operand">XY</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Y</e>
        <e type="operand">XY</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operator" args="2">:</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="operand">data</e>
        <e type="operand">XY</e>
        <e type="operand" style="string">+</e>
        <e type="operand">5</e>
        <e type="operand" style="string">black</e>
        <e type="function" args="4">plot</e>
        <e type="operator" args="2">:</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </input>
    </math>
  </region>
  <region id="3" left="198" top="162" width="170" height="87" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x1</e>
        <e type="operand">X</e>
        <e type="operand">1</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">x2</e>
        <e type="operand">X</e>
        <e type="operand">5</e>
        <e type="operand">9</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">x3</e>
        <e type="operand">X</e>
        <e type="operand">10</e>
        <e type="operand">14</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
      </input>
    </math>
  </region>
  <region id="4" left="414" top="162" width="170" height="87" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">y1</e>
        <e type="operand">Y</e>
        <e type="operand">1</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">y2</e>
        <e type="operand">Y</e>
        <e type="operand">5</e>
        <e type="operand">9</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">y3</e>
        <e type="operand">Y</e>
        <e type="operand">10</e>
        <e type="operand">14</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
      </input>
    </math>
  </region>
  <region id="5" left="18" top="288" width="689" height="152" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>• medfit(vx, vy)Returns a vector containing the coefficients a and b for a line of the form a + b·x that best approximates the data in vectors vx and vy using median-median regression.The median-median algorithm divides data sets into 3 smaller sets of approximately the same size. Each set is then represented by a single point determined by the medians of the x and y data in the set. A line is then fit to these 3 points. The intercept is chosen so that the line passes through the point which is the average of the medians among the three groups:</p>
    </text>
  </region>
  <region id="6" left="306" top="468" width="398" height="88" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">S</e>
        <e type="operand">y1</e>
        <e type="function" preserve="true" args="1">Median</e>
        <e type="operand">y2</e>
        <e type="function" preserve="true" args="1">Median</e>
        <e type="operand">y3</e>
        <e type="function" preserve="true" args="1">Median</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="function" preserve="true" args="1">Mean</e>
        <e type="operand">y1</e>
        <e type="function" preserve="true" args="1">Median</e>
        <e type="operand">y2</e>
        <e type="function" preserve="true" args="1">Median</e>
        <e type="operand">y3</e>
        <e type="function" preserve="true" args="1">Median</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="function" preserve="true" args="1">Median</e>
        <e type="operator" args="2">-</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="numeric">
        <e type="operand">3.873</e>
      </result>
    </math>
  </region>
  <region id="7" left="18" top="477" width="233" height="71" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">I</e>
        <e type="operand">x1</e>
        <e type="function" preserve="true" args="1">Median</e>
        <e type="operand">x2</e>
        <e type="function" preserve="true" args="1">Median</e>
        <e type="operand">x3</e>
        <e type="function" preserve="true" args="1">Median</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="function" preserve="true" args="1">Mean</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="numeric">
        <e type="operand">8.667</e>
      </result>
    </math>
  </region>
  <region id="8" left="18" top="567" width="239" height="49" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a</e>
        <e type="operand">X</e>
        <e type="operand">Y</e>
        <e type="function" preserve="true" args="2">Intercept</e>
        <e type="operator" args="2">:</e>
        <e type="operand">b</e>
        <e type="operand">X</e>
        <e type="operand">Y</e>
        <e type="function" preserve="true" args="2">Slope</e>
        <e type="operator" args="2">:</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </input>
      <result action="numeric">
        <e type="operand">1.587</e>
        <e type="operand">4.287</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="9" left="18" top="621" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="0.109418989131512" scale_y="0.81" scale_z="0.0886293811965251" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-65" transpose_y="-39" transpose_z="0">
      <input>
        <e type="operand">I</e>
        <e type="operand">S</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">data</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
      </input>
    </plot>
  </region>
</regions>