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<a name="data"></a>
<h2 id="hd_id1000010" dir="auto">Data</h2>
<p id="par_id1000010" class="paragraph" dir="auto"><span class="emph">Input Range</span>: The reference of the range of the data to analyze.</p>
<p id="par_id1000020" class="paragraph" dir="auto"><span class="emph">Results to</span>: The reference of the top left cell of the range where the results will be displayed.</p>
<a name="grouped"></a>
<h3 id="hd_id1000020" dir="auto">Grouped By</h3>
<p id="par_id1000030" class="paragraph" dir="auto">Select whether the input data has <span class="emph">columns</span> or <span class="emph">rows</span> layout.</p>
<a name="otherstat"></a>
<div class="embedded"><p class="embedded" dir="auto"><a target="_top" href="en-US/text/scalc/01/statistics_sampling.html">Sampling</a></p></div>
<div class="embedded"><p class="embedded" dir="auto"><a target="_top" href="en-US/text/scalc/01/statistics_descriptive.html">Descriptive Statistics</a></p></div>
<div class="embedded"><p class="embedded" dir="auto"><a target="_top" href="en-US/text/scalc/01/statistics_anova.html">Analysis of Variance (ANOVA)</a></p></div>
<div class="embedded"><p class="embedded" dir="auto"><a target="_top" href="en-US/text/scalc/01/statistics_correlation.html">Correlation</a></p></div>
<div class="embedded"><p class="embedded" dir="auto"><a target="_top" href="en-US/text/scalc/01/statistics_covariance.html">Covariance</a></p></div>
<div class="embedded"><p class="embedded" dir="auto"><a target="_top" href="en-US/text/scalc/01/statistics_exposmooth.html">Exponential Smoothing</a></p></div>
<div class="embedded"><p class="embedded" dir="auto"><a target="_top" href="en-US/text/scalc/01/statistics_movingavg.html">Moving Average</a></p></div>
<div class="embedded"><p class="embedded" dir="auto"><a target="_top" href="en-US/text/scalc/01/statistics_regression.html">Regression Analysis</a></p></div>
<div class="embedded"><p class="embedded" dir="auto"><a target="_top" href="en-US/text/scalc/01/statistics_test_t.html">Paired t-test</a></p></div>
<div class="embedded"><p class="embedded" dir="auto"><a target="_top" href="en-US/text/scalc/01/statistics_test_f.html">F-test</a></p></div>
<div class="embedded"><p class="embedded" dir="auto"><a target="_top" href="en-US/text/scalc/01/statistics_test_z.html">Z-test</a></p></div>
<div class="embedded"><p class="embedded" dir="auto"><a target="_top" href="en-US/text/scalc/01/statistics_test_chisqr.html">Chi-square test</a></p></div>
<div class="embedded"><p class="embedded" dir="auto"><a target="_top" href="en-US/text/scalc/01/statistics_fourier.html">Fourier Analysis</a></p></div>
<a name="sampledata01"></a>
<div class="embedded">
<a name="sectionexample"></a>
<h4 id="hd_id281171" dir="auto">Example</h4>
</div>
<p id="par_id1000040" class="paragraph" dir="auto">The following data will be used as example </p>
<table border="1" class="" cellpadding="0" cellspacing="0">
<tr>
<td rowspan="" colspan="" dir="auto">
</td>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000050" class="tableheadintable" dir="auto">A</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000060" class="tableheadintable" dir="auto">B</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000070" class="tableheadintable" dir="auto">C</p>
</th>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000080" class="tableheadintable" dir="auto">1</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000090" class="tableheadintable" dir="auto">Maths</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000100" class="tableheadintable" dir="auto">Physics</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000110" class="tableheadintable" dir="auto">Biology</p>
</th>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000120" class="tableheadintable" dir="auto">2</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000130" class="tablecontentintable" dir="auto">47</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000140" class="tablecontentintable" dir="auto">67</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000150" class="tablecontentintable" dir="auto">33</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000160" class="tableheadintable" dir="auto">3</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000170" class="tablecontentintable" dir="auto">36</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000180" class="tablecontentintable" dir="auto">68</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000190" class="tablecontentintable" dir="auto">42</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000200" class="tableheadintable" dir="auto">4</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000210" class="tablecontentintable" dir="auto">40</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000220" class="tablecontentintable" dir="auto">65</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000230" class="tablecontentintable" dir="auto">44</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000240" class="tableheadintable" dir="auto">5</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000250" class="tablecontentintable" dir="auto">39</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000260" class="tablecontentintable" dir="auto">64</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000270" class="tablecontentintable" dir="auto">60</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000280" class="tableheadintable" dir="auto">6</p>
</th>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000290" class="tablecontentintable" dir="auto">38</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000300" class="tablecontentintable" dir="auto">43</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000310" class="tableheadintable" dir="auto">7</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000320" class="tablecontentintable" dir="auto">47</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000330" class="tablecontentintable" dir="auto">84</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000340" class="tablecontentintable" dir="auto">62</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000350" class="tableheadintable" dir="auto">8</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000360" class="tablecontentintable" dir="auto">29</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000370" class="tablecontentintable" dir="auto">80</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000380" class="tablecontentintable" dir="auto">51</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000390" class="tableheadintable" dir="auto">9</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000400" class="tablecontentintable" dir="auto">27</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000410" class="tablecontentintable" dir="auto">49</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000420" class="tablecontentintable" dir="auto">40</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000430" class="tableheadintable" dir="auto">10</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000440" class="tablecontentintable" dir="auto">57</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000450" class="tablecontentintable" dir="auto">49</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000460" class="tablecontentintable" dir="auto">12</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000470" class="tableheadintable" dir="auto">11</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000480" class="tablecontentintable" dir="auto">56</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000490" class="tablecontentintable" dir="auto">33</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000500" class="tablecontentintable" dir="auto">60</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000510" class="tableheadintable" dir="auto">12</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000520" class="tablecontentintable" dir="auto">57</p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000530" class="tableheadintable" dir="auto">13</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000540" class="tablecontentintable" dir="auto">26</p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
</td>
</tr>
</table>
<br>
<a name="timeseries01"></a>
<div class="embedded">
<a name="sectionexample"></a>
<h4 id="hd_id281171" dir="auto">Example</h4>
</div>
<p id="par_id1000550" class="paragraph" dir="auto">The following table has two time series, one representing an impulse function at time t=0 and the other an impulse function at time t=2.</p>
<table border="1" class="" cellpadding="0" cellspacing="0">
<tr>
<td rowspan="" colspan="" dir="auto">
</td>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000560" class="tableheadintable" dir="auto">A</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000570" class="tableheadintable" dir="auto">B</p>
</th>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000580" class="tableheadintable" dir="auto">1</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000590" class="tablecontentintable" dir="auto">1</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000600" class="tablecontentintable" dir="auto">0</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000610" class="tableheadintable" dir="auto">2</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000620" class="tablecontentintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000630" class="tablecontentintable" dir="auto">0</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000640" class="tableheadintable" dir="auto">3</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000650" class="tablecontentintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000660" class="tablecontentintable" dir="auto">1</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000670" class="tableheadintable" dir="auto">4</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000680" class="tablecontentintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000690" class="tablecontentintable" dir="auto">0</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000700" class="tableheadintable" dir="auto">5</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000710" class="tablecontentintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000720" class="tablecontentintable" dir="auto">0</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000730" class="tableheadintable" dir="auto">6</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000740" class="tablecontentintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000750" class="tablecontentintable" dir="auto">0</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000760" class="tableheadintable" dir="auto">7</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000770" class="tablecontentintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000780" class="tablecontentintable" dir="auto">0</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000790" class="tableheadintable" dir="auto">8</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000800" class="tablecontentintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000810" class="tablecontentintable" dir="auto">0</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000820" class="tableheadintable" dir="auto">9</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000830" class="tablecontentintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000840" class="tablecontentintable" dir="auto">0</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000850" class="tableheadintable" dir="auto">10</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000860" class="tablecontentintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000870" class="tablecontentintable" dir="auto">0</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000880" class="tableheadintable" dir="auto">11</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000890" class="tablecontentintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000900" class="tablecontentintable" dir="auto">0</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000910" class="tableheadintable" dir="auto">12</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000920" class="tablecontentintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000930" class="tablecontentintable" dir="auto">0</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000940" class="tableheadintable" dir="auto">13</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000950" class="tablecontentintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1000960" class="tablecontentintable" dir="auto">0</p>
</td>
</tr>
</table>
<br>
<a name="datafortests"></a>
<div class="embedded">
<a name="sectionexample"></a>
<h4 id="hd_id281171" dir="auto">Example</h4>
</div>
<p id="par_id1000970" class="paragraph" dir="auto">The following table has two data sets.</p>
<table border="1" class="" cellpadding="0" cellspacing="0">
<tr>
<td rowspan="" colspan="" dir="auto">
</td>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000980" class="tableheadintable" dir="auto">A</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1000990" class="tableheadintable" dir="auto">B</p>
</th>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1001000" class="tableheadintable" dir="auto">1</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001010" class="tablecontentintable" dir="auto">28</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001020" class="tablecontentintable" dir="auto">19</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1001030" class="tableheadintable" dir="auto">2</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001040" class="tablecontentintable" dir="auto">26</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001050" class="tablecontentintable" dir="auto">13</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1001060" class="tableheadintable" dir="auto">3</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001070" class="tablecontentintable" dir="auto">31</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001080" class="tablecontentintable" dir="auto">12</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1001090" class="tableheadintable" dir="auto">4</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001100" class="tablecontentintable" dir="auto">23</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001110" class="tablecontentintable" dir="auto">5</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1001120" class="tableheadintable" dir="auto">5</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001130" class="tablecontentintable" dir="auto">20</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001140" class="tablecontentintable" dir="auto">34</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1001150" class="tableheadintable" dir="auto">6</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001160" class="tablecontentintable" dir="auto">27</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001170" class="tablecontentintable" dir="auto">31</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1001180" class="tableheadintable" dir="auto">7</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001190" class="tablecontentintable" dir="auto">28</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001200" class="tablecontentintable" dir="auto">31</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1001210" class="tableheadintable" dir="auto">8</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001220" class="tablecontentintable" dir="auto">14</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001230" class="tablecontentintable" dir="auto">12</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1001240" class="tableheadintable" dir="auto">9</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001250" class="tablecontentintable" dir="auto">4</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001260" class="tablecontentintable" dir="auto">24</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1001270" class="tableheadintable" dir="auto">10</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001280" class="tablecontentintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001290" class="tablecontentintable" dir="auto">23</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1001300" class="tableheadintable" dir="auto">11</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001310" class="tablecontentintable" dir="auto">2</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001320" class="tablecontentintable" dir="auto">19</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1001330" class="tableheadintable" dir="auto">12</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001340" class="tablecontentintable" dir="auto">8</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001350" class="tablecontentintable" dir="auto">10</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1001360" class="tableheadintable" dir="auto">13</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001370" class="tablecontentintable" dir="auto">9</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001380" class="tablecontentintable" dir="auto">33</p>
</td>
</tr>
</table>
<br>
<a name="regressiondata"></a>
<div class="embedded">
<a name="sectionexample"></a>
<h4 id="hd_id281171" dir="auto">Example</h4>
</div>
<p id="par_id1701201619425624" class="paragraph" dir="auto">The following table has samples of a physical phenomenon taken in 1 second interval.</p>
<table border="1" class="" cellpadding="0" cellspacing="0">
<tr>
<td rowspan="" colspan="" dir="auto">
</td>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id170120161940524" class="tableheadintable" dir="auto">A</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1701201619405255" class="tableheadintable" dir="auto">B</p>
</th>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1701201619405244" class="tableheadintable" dir="auto">1</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1901201614441023" class="paragraphintable" dir="auto">Time</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1901201614441056" class="paragraphintable" dir="auto">Measurement</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1701201619405214" class="tableheadintable" dir="auto">2</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1901201614441082" class="paragraphintable" dir="auto">1</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id190120161501214" class="paragraphintable" dir="auto">2.7</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1701201619405278" class="tableheadintable" dir="auto">3</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1901201614441385" class="paragraphintable" dir="auto">2</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1901201615012191" class="paragraphintable" dir="auto">4.0</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1701201619405257" class="tableheadintable" dir="auto">4</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1901201614441322" class="paragraphintable" dir="auto">3</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1901201615012192" class="paragraphintable" dir="auto">4.4</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1701201619405289" class="tableheadintable" dir="auto">5</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1901201614441312" class="paragraphintable" dir="auto">4</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1901201615012187" class="paragraphintable" dir="auto">7.1</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1701201619405317" class="tableheadintable" dir="auto">6</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1901201614441399" class="paragraphintable" dir="auto">5</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1901201615012121" class="paragraphintable" dir="auto">4.9</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1701201619405368" class="tableheadintable" dir="auto">7</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1901201614441393" class="paragraphintable" dir="auto">6</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1901201615012143" class="paragraphintable" dir="auto">3.6</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1701201619405345" class="tableheadintable" dir="auto">8</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id190120161444136" class="paragraphintable" dir="auto">7</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1901201615012166" class="paragraphintable" dir="auto">4.0</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1701201619405311" class="tableheadintable" dir="auto">9</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1901201614441334" class="paragraphintable" dir="auto">8</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1901201615012149" class="paragraphintable" dir="auto">0.6</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1701201619405353" class="tableheadintable" dir="auto">10</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1901201614441380" class="paragraphintable" dir="auto">9</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1901201615012153" class="paragraphintable" dir="auto">1.0</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id1701201619405381" class="tableheadintable" dir="auto">11</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1901201614441330" class="paragraphintable" dir="auto">10</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1901201615012135" class="paragraphintable" dir="auto">4.3</p>
</td>
</tr>
</table>
<br>
<a name="fourierdata"></a>
<table border="1" class="" cellpadding="0" cellspacing="0">
<tr>
<td rowspan="" colspan="2" dir="auto">
<p id="par_id11561818344892" class="paragraphintable" dir="auto"><span class="emph">Group By Columns</span></p>
</td>
<td rowspan="" colspan="3" dir="auto">
<p id="par_id151561818353339" class="paragraphintable" dir="auto">TRUE</p>
</td>
</tr>
<tr>
<td rowspan="" colspan="2" dir="auto">
<p id="par_id141561818361892" class="paragraphintable" dir="auto"><span class="emph">Polar</span></p>
</td>
<td rowspan="" colspan="3" dir="auto">
<p id="par_id361561818366868" class="paragraphintable" dir="auto">FALSE</p>
</td>
</tr>
<tr>
<td rowspan="" colspan="2" dir="auto">
<p id="par_id181561818387534" class="paragraphintable" dir="auto"><span class="emph">Inverse</span></p>
</td>
<td rowspan="" colspan="3" dir="auto">
<p id="par_id681561818391189" class="paragraphintable" dir="auto">FALSE</p>
</td>
</tr>
<tr>
<td rowspan="" colspan="2" dir="auto">
<p id="par_id201561827895671" class="paragraphintable" dir="auto"><span class="emph">Formula</span></p>
</td>
<td rowspan="" colspan="3" dir="auto">
<p id="par_id361561818379679" class="paragraphintable" dir="auto">{=FOURIER(B6:C40,B1,B2,B3,0)}</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="2" class="tableheadcell" dir="auto">
<p id="par_id711561818399814" class="tableheadintable" dir="auto"><span class="emph">Source Array</span></p>
</th>
<td rowspan="" colspan="" dir="auto">
</td>
<th rowspan="" colspan="2" class="tableheadcell" dir="auto">
<p id="par_id551561818405550" class="tableheadintable" dir="auto"><span class="emph">Transformed Array</span></p>
</th>
</tr>
<tr>
<td rowspan="" colspan="" dir="auto">
<p id="par_id581561818425613" class="tablecontentintable" dir="auto"><span class="emph">Real</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id251561818431620" class="tablecontentintable" dir="auto"><span class="emph">Imaginary</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id161561818436495" class="tablecontentintable" dir="auto"><span class="emph">Real</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id471561818441429" class="tablecontentintable" dir="auto"><span class="emph">Imaginary</span></p>
</td>
</tr>
<tr>
<td rowspan="" colspan="" dir="auto">
<p id="par_id801561818463882" class="paragraphintable" dir="auto">0.392555411592569</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id721561818470696" class="paragraphintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id901561818478432" class="paragraphintable" dir="auto">17.1775578743134</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id231561818483198" class="paragraphintable" dir="auto">3.88635177703826E-015</p>
</td>
</tr>
<tr>
<td rowspan="" colspan="" dir="auto">
<p id="par_id451561818495372" class="paragraphintable" dir="auto">1.20843701681219</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id841561818500031" class="paragraphintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id351561818505918" class="paragraphintable" dir="auto">3.428868795359</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id741561818511221" class="paragraphintable" dir="auto">2.37164790000189</p>
</td>
</tr>
<tr>
<td rowspan="" colspan="" dir="auto">
<p id="par_id71561818588117" class="paragraphintable" dir="auto">0.851477676762644</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id151561818594448" class="paragraphintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id781561818600947" class="paragraphintable" dir="auto">-6.80271615433369</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id331561818606157" class="paragraphintable" dir="auto">-15.1345439297576</p>
</td>
</tr>
<tr>
<td rowspan="" colspan="" dir="auto">
<p id="par_id511561818617438" class="paragraphintable" dir="auto">1.78534651907738</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id71561818624526" class="paragraphintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id511561818630050" class="paragraphintable" dir="auto">-1.605447356601</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id531561818635293" class="paragraphintable" dir="auto">-5.08653060378972</p>
</td>
</tr>
<tr>
<td rowspan="" colspan="" dir="auto">
<p id="par_id201561818646809" class="paragraphintable" dir="auto">1.77946506138316</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id181561818652799" class="paragraphintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id941561818657440" class="paragraphintable" dir="auto">0.395847917447356</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id211561818662346" class="paragraphintable" dir="auto">-2.41926785527625</p>
</td>
</tr>
<tr>
<td rowspan="" colspan="" dir="auto">
<p id="par_id201561818672591" class="paragraphintable" dir="auto">1.51890060220168</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id521561818697771" class="paragraphintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id231561818703358" class="paragraphintable" dir="auto">-1.49410383304833</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id351561818708108" class="paragraphintable" dir="auto">-2.39148041275</p>
</td>
</tr>
<tr>
<td rowspan="" colspan="" dir="auto">
<p id="par_id511561818720692" class="paragraphintable" dir="auto">1.04694666137238</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id81561818725058" class="paragraphintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id631561818732885" class="paragraphintable" dir="auto">0.87223579298981</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id491561818737195" class="paragraphintable" dir="auto">-1.14394086206797</p>
</td>
</tr>
<tr>
<td rowspan="" colspan="" dir="auto">
<p id="par_id341561818748455" class="paragraphintable" dir="auto">0.83110083951399</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id731561818753079" class="paragraphintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id171561818760856" class="paragraphintable" dir="auto">1.5332458505929</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id371561818765611" class="paragraphintable" dir="auto">0.678159168870983</p>
</td>
</tr>
<tr>
<td rowspan="" colspan="" dir="auto">
<p id="par_id271561818784104" class="paragraphintable" dir="auto">1.23006228455127</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id661561818790833" class="paragraphintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id101561818795844" class="paragraphintable" dir="auto">0.450563708411459</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id31561818802582" class="paragraphintable" dir="auto">0.22911248792634</p>
</td>
</tr>
<tr>
<td rowspan="" colspan="" dir="auto">
<p id="par_id11561818812548" class="paragraphintable" dir="auto">0.133409796396031</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id41561818817467" class="paragraphintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id461561818823748" class="paragraphintable" dir="auto">0.545106616940358</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id761561818828054" class="paragraphintable" dir="auto">0.411028927740438</p>
</td>
</tr>
<tr>
<td rowspan="" colspan="" dir="auto">
<p id="par_id961561818837482" class="paragraphintable" dir="auto">0.130471655802496</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id651561818842250" class="paragraphintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id281561818846175" class="paragraphintable" dir="auto">2.22685996425193</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id891561818850209" class="paragraphintable" dir="auto">-2.43092236748302</p>
</td>
</tr>
<tr>
<td rowspan="" colspan="" dir="auto">
<p id="par_id391561818882179" class="paragraphintable" dir="auto">0.386478761838145</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id511561818888890" class="paragraphintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id11561818894216" class="paragraphintable" dir="auto">-1.61522859107175</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id781561818899764" class="paragraphintable" dir="auto">-2.41682657284899</p>
</td>
</tr>
<tr>
<td rowspan="" colspan="" dir="auto">
<p id="par_id801561818913687" class="paragraphintable" dir="auto">-0.703398287742919</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id871561818918456" class="paragraphintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id651561818923166" class="paragraphintable" dir="auto">1.30245078290168</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id381561818928231" class="paragraphintable" dir="auto">1.45443785733126</p>
</td>
</tr>
<tr>
<td rowspan="" colspan="" dir="auto">
<p id="par_id781561818940758" class="paragraphintable" dir="auto">-0.899115309693977</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id971561818947103" class="paragraphintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id111561818951932" class="paragraphintable" dir="auto">1.57930628561185</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id961561818966489" class="paragraphintable" dir="auto">-1.33862736591677</p>
</td>
</tr>
<tr>
<td rowspan="" colspan="" dir="auto">
<p id="par_id151561818975263" class="paragraphintable" dir="auto">-0.124045510064504</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id501561818979823" class="paragraphintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id471561818985572" class="paragraphintable" dir="auto">-1.07572227365276</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id331561818991587" class="paragraphintable" dir="auto">-0.921557968003809</p>
</td>
</tr>
<tr>
<td rowspan="" colspan="" dir="auto">
<p id="par_id861561819001577" class="paragraphintable" dir="auto">-0.513553513012611</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id511561819007803" class="paragraphintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id851561819018109" class="paragraphintable" dir="auto">-0.0557824179238028</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id1001561819024945" class="paragraphintable" dir="auto">-1.81336029451831</p>
</td>
</tr>
<tr>
<td rowspan="" colspan="" dir="auto">
<p id="par_id201561819246213" class="paragraphintable" dir="auto">-0.613559196487517</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id651561819250743" class="paragraphintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id71561819260676" class="paragraphintable" dir="auto">-0.577666040004067</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id551561819266277" class="paragraphintable" dir="auto">1.38887243891951</p>
</td>
</tr>
<tr>
<td rowspan="" colspan="" dir="auto">
<p id="par_id431561819277248" class="paragraphintable" dir="auto">0.32607259491689</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id791561819282068" class="paragraphintable" dir="auto">0</p>
</td>
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