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<h1 id="hd_id3147273" dir="auto">
<a name="arrayfunctit"></a>Array Functions</h1>
<p id="par_id3154744" class="paragraph" dir="auto"><a name="matrixtext"></a>This category contains the array functions.</p>
<h2 id="hd_id3146084" dir="auto">What is an Array?</h2>
<p id="par_id3154298" class="paragraph" dir="auto"><a name="wasmatrix"></a>An array is a linked range of cells on a spreadsheet containing values. A square range of 3 rows and 3 columns is a 3 x 3 array:</p>
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<td rowspan="" colspan="" dir="auto">
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<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3154692" class="tableheadintable" dir="auto">A</p>
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<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3150117" class="tableheadintable" dir="auto">B</p>
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<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3155325" class="tableheadintable" dir="auto">C</p>
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<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id31668198570666" class="tableheadintable" dir="auto">D</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id441668198589386" class="tableheadintable" dir="auto">E</p>
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<p id="par_id3153104" class="tableheadintable" dir="auto">1</p>
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<p id="par_id3146996" class="paragraphintable" dir="auto"><span class="literal">7</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3150529" class="paragraphintable" dir="auto"><span class="literal">31</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3148831" class="paragraphintable" dir="auto"><span class="literal">33</span></p>
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<p id="par_id3148943" class="tableheadintable" dir="auto">2</p>
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<p id="par_id3149771" class="paragraphintable" dir="auto"><span class="literal">95</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3158407" class="paragraphintable" dir="auto"><span class="literal">17</span></p>
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<td rowspan="" colspan="" dir="auto">
<p id="par_id3148806" class="paragraphintable" dir="auto"><span class="literal">2</span></p>
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<p id="par_id3154904" class="tableheadintable" dir="auto">3</p>
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<p id="par_id3150779" class="paragraphintable" dir="auto"><span class="literal">5</span></p>
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<p id="par_id3148449" class="paragraphintable" dir="auto"><span class="literal">10</span></p>
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<p id="par_id3147238" class="paragraphintable" dir="auto"><span class="literal">50</span></p>
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<p id="par_id321668199240111" class="tableheadintable" dir="auto">4</p>
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</table>
<br>
<p id="par_id3153583" class="paragraph" dir="auto">The smallest possible array is a 1 x 2 or 2 x 1 array with two adjacent cells.</p>
<h2 id="hd_id3148474" dir="auto">What is an array formula?</h2>
<p id="par_id3155355" class="paragraph" dir="auto">A formula in which the individual values in a cell range are evaluated is referred to as an array formula. The difference between an array formula and other formulas is that the array formula deals with several values simultaneously instead of just one.</p>
<p id="par_id3151052" class="paragraph" dir="auto">Not only can an array formula process several values, but it can also return several values. The results of an array formula is also an array.</p>
<p id="par_id3158432" class="paragraph" dir="auto">To multiply the values in the individual cells by 10 in the above array, you do not need to apply a formula to each individual cell or value. Instead you just need to use a single array formula. Select a range of 3 x 3 cells on another part of the spreadsheet, enter the formula <span class="input" data-tooltip="Click on text to copy to clipboard">=10*A1:C3</span> and confirm this entry using the key combination <span id="swlnsystextscalc0104060107xml_1" class="switchinline"><span hidden="true" id="MACtextscalc0104060107xml_1" class="MAC"><span class="emph">Command</span></span><span hidden="true" id="defaulttextscalc0104060107xml_1"><span class="emph">Ctrl</span></span></span><span class="emph"> + Shift + Enter</span>. The result is a 3 x 3 array in which the individual values in the cell range (A1:C3) are multiplied by a factor of 10.</p>
<p id="par_id3149156" class="paragraph" dir="auto">In addition to multiplication, you can also use other operators on the reference range (an array). With LibreOffice Calc, you can add (+), subtract (-), multiply (*), divide (/), use exponents (^), concatenation (&) and comparisons (=, <>, <, >, <=, >=). The operators can be used on each individual value in the cell range and return the result as an array if the array formula was entered.</p>
<p id="par_id3166456" class="paragraph" dir="auto">Comparison operators in an array formula treat empty cells in the same way as in a normal formula, that is, either as zero or as an empty string. For example, if cells A1 and A2 are empty the array formulas <span class="input" data-tooltip="Click on text to copy to clipboard">{=A1:A2=""}</span> and <span class="input" data-tooltip="Click on text to copy to clipboard">{=A1:A2=0}</span> will both return a 1 column 2 row array of cells containing TRUE.</p>
<h3 id="hd_id3150713" dir="auto">When do you use array formulas?</h3>
<p id="par_id3149787" class="paragraph" dir="auto">Use array formulas if you have to repeat calculations using different values. If you decide to change the calculation method later, you only have to update the array formula. To add an array formula, select the entire array range and then make the required change to the array formula.</p>
<p id="par_id3149798" class="paragraph" dir="auto">Array formulas are also a space saving option when several values must be calculated, since they are not very memory-intensive. In addition, arrays are an essential tool for carrying out complex calculations, because you can have several cell ranges included in your calculations. LibreOffice has different math functions for arrays, such as the MMULT function for multiplying two arrays or the SUMPRODUCT function for calculating the scalar products of two arrays.</p>
<h2 id="hd_id3155588" dir="auto">Using Array Formulas in LibreOffice Calc</h2>
<h3 id="hd_id651668200191409" dir="auto">Implicit intersection of array formulas</h3>
<p id="par_id3152876" class="paragraph" dir="auto">You can also create a "normal" formula in which the reference range, such as parameters, indicate an array formula. This formula is also known as "implicit intersection" of array formula. The result is obtained from the intersection of the reference range and the rows or columns in which the formula is found. If there is no intersection or if the range at the intersection covers several rows or columns, a #VALUE! error message appears. The following example illustrates this concept:</p>
<p id="par_id631668200233375" class="paragraph" dir="auto">In the table above, place the array formula in D1:</p>
<p id="par_id691668200248323" class="paragraph" dir="auto"><span class="input" data-tooltip="Click on text to copy to clipboard">{=A1:A3 + 100}</span></p>
<p id="par_id641668200266239" class="paragraph" dir="auto">Cells D1, D2, D3 have values 107, 195, 105 respectively.</p>
<p id="par_id231668200272420" class="paragraph" dir="auto">Insert the formula below in E2, do not enter as array formula.</p>
<p id="par_id361668200276892" class="paragraph" dir="auto"><span class="input" data-tooltip="Click on text to copy to clipboard">=A1:A3 + 100</span></p>
<p id="par_id681668200283910" class="paragraph" dir="auto">Cells E1 and E3 are empty, Cell E2 has value 195. This is the implicit intersection of array formulas.</p>
<p id="par_id161668200288651" class="paragraph" dir="auto">Insert formula below in E4, as in E2.</p>
<p id="par_id471668200292845" class="paragraph" dir="auto"><span class="input" data-tooltip="Click on text to copy to clipboard">=A1:A3 + 100</span></p>
<p id="par_id711668200299613" class="paragraph" dir="auto">Cell E4 display #VALUE!. Row 4 is out of the range A1:A3 of the formula.</p>
<h3 id="hd_id3151271" dir="auto">Creating Array Formulas</h3>
<a name="creating_array_formulas"></a>
<p id="par_id3149102" class="paragraph" dir="auto">If you create an array formula using the <span class="emph">Function Wizard</span>, you must mark the <span class="emph">Array</span> check box each time so that the results are returned in an array. Otherwise, only the value in the upper-left cell of the array being calculated is returned.</p>
<p id="par_id3153392" class="paragraph" dir="auto">If you enter the array formula directly into the cell, you must use the key combination <span class="emph">Shift + </span><span id="swlnsystextscalc0104060107xml_2" class="switchinline"><span hidden="true" id="MACtextscalc0104060107xml_2" class="MAC"><span class="emph">Command</span></span><span hidden="true" id="defaulttextscalc0104060107xml_2"><span class="emph">Ctrl</span></span></span><span class="emph"> + Enter</span> instead of the <span class="emph">Enter</span> key. Only then does the formula become an array formula.</p>
<div class="note">
<div class="noteicon" dir="auto"><img src="media/icon-themes/res/helpimg/note.svg" alt="note" style="width:40px;height:40px;"></div>
<div class="notetext"><p id="par_id3151120" dir="auto">Array formulas appear in braces in LibreOffice Calc. You cannot create array formulas by manually entering the braces.</p></div>
</div>
<br>
<div class="warning">
<div class="noteicon" dir="auto"><img src="media/icon-themes/res/helpimg/warning.svg" alt="warning" style="width:40px;height:40px;"></div>
<div class="notetext"><p id="par_id3154342" dir="auto">The cells in a results array are automatically protected against changes. However, you can edit, delete or copy the array formula by selecting the entire array cell range.</p></div>
</div>
<br>
<h3 id="hd_id8834803" dir="auto">Using Inline Array Constants in Formulas</h3>
<p id="par_id985747" class="paragraph" dir="auto">Calc supports inline matrix/array constants in formulas. An inline array is surrounded by curly braces '{' and '}'. Elements can be each a number (including negatives), a logical constant (TRUE, FALSE), or a literal string. Non-constant expressions are not allowed. Arrays can be entered with one or more rows, and one or more columns. All rows must consist of the same number of elements, all columns must consist of the same number of elements.</p>
<p id="par_id936613" class="paragraph" dir="auto">The column separator (separating elements in one row) and the row separator are language and locale dependent. But in this help content, the ';' semicolon and '|' pipe symbol are used to indicate the column and row separators, respectively. For example, in the English locale, the ',' comma is used as the column separator, while the ';' semicolon is used as the row separator.</p>
<div class="tip">
<div class="noteicon" dir="auto"><img src="media/icon-themes/res/helpimg/tip.svg" alt="tip" style="width:40px;height:40px;"></div>
<div class="notetext"><p id="par_id936615" dir="auto">You can view and change the row and column separator in <span id="swlnsystextscalc0104060107xml_3" class="switchinline"><span hidden="true" id="MACtextscalc0104060107xml_3" class="MAC"><span class="emph">LibreOffice - Preferences</span></span><span hidden="true" id="defaulttextscalc0104060107xml_3"><span class="emph">Tools - Options</span></span></span><span class="emph"> - Calc - Formula - Separators</span>.</p></div>
</div>
<br>
<p id="par_id1877498" class="paragraph" dir="auto">Arrays can not be nested.</p>
<p id="par_id4262520" class="paragraph" dir="auto"><span class="emph">Examples:</span></p>
<p id="par_id9387493" class="code" dir="auto">={1;2;3}</p>
<p id="par_id8207037" class="paragraph" dir="auto">An array with one row consisting of the three numbers 1, 2, and 3.</p>
<p id="par_id6757103" class="paragraph" dir="auto">To enter this array constant, you select three cells in a row, then you type the formula <span class="input" data-tooltip="Click on text to copy to clipboard">={1;2;3}</span> using the curly braces and the semicolons, then press <span id="swlnsystextscalc0104060107xml_4" class="switchinline"><span hidden="true" id="MACtextscalc0104060107xml_4" class="MAC"><span class="emph">Command</span></span><span hidden="true" id="defaulttextscalc0104060107xml_4"><span class="emph">Ctrl</span></span></span><span class="emph"> + Shift + Enter</span>.</p>
<p id="par_id8868068" class="code" dir="auto">={1;2;3|4;5;6}</p>
<p id="par_id6626483" class="paragraph" dir="auto">An array with two rows and three values in each row.</p>
<p id="par_id5262916" class="code" dir="auto">={0;1;2|FALSE;TRUE;"two"}</p>
<p id="par_id1623889" class="paragraph" dir="auto">A mixed data array.</p>
<p id="par_id7781914" class="code" dir="auto">=SIN({1;2;3})</p>
<p id="par_id300912" class="paragraph" dir="auto">Entered as a matrix formula, delivers the result of three SIN calculations with the arguments 1, 2, and 3.</p>
<h3 id="hd_id3148660" dir="auto">Editing Array Formulas</h3>
<ol itemprop="HowTo" itemscope="true" itemtype="http://schema.org/HowToSection" dir="auto">
<li itemprop="itemListElement" itemscope="true" itemtype="http://schema.org/HowToStep" dir="auto">
<p id="par_id3149241" class="listitem" dir="auto">Select the cell range or array containing the array formula. To select the whole array, position the cell cursor inside the array range, then press <span id="swlnsystextscalc0104060107xml_5" class="switchinline"><span hidden="true" id="MACtextscalc0104060107xml_5" class="MAC"><span class="keycode">Command</span></span><span hidden="true" id="defaulttextscalc0104060107xml_5"><span class="keycode">Ctrl</span></span></span> + <span class="keycode">/</span>, where <span class="keycode">/</span> is the division key on the numeric keypad.</p>
</li>
<li itemprop="itemListElement" itemscope="true" itemtype="http://schema.org/HowToStep" dir="auto">
<p id="par_id3143274" class="listitem" dir="auto">Either press <span class="emph">F2</span> or position the cursor in the input line. Both of these actions let you edit the formula.</p>
</li>
<li itemprop="itemListElement" itemscope="true" itemtype="http://schema.org/HowToStep" dir="auto">
<p id="par_id3154798" class="listitem" dir="auto">After you have made changes, press <span id="swlnsystextscalc0104060107xml_6" class="switchinline"><span hidden="true" id="MACtextscalc0104060107xml_6" class="MAC"><span class="emph">Command</span></span><span hidden="true" id="defaulttextscalc0104060107xml_6"><span class="emph">Ctrl</span></span></span><span class="emph"> + Shift + Enter</span>.</p>
</li>
</ol>
<div class="tip">
<div class="noteicon" dir="auto"><img src="media/icon-themes/res/helpimg/tip.svg" alt="tip" style="width:40px;height:40px;"></div>
<div class="notetext"><p id="par_id3150628" dir="auto">You can format the separate parts of an array. For example, you can change the font color. Select a cell range and then change the attribute you want.</p></div>
</div>
<br>
<h3 id="hd_id541633516074226" dir="auto">Deleting Array Formulae</h3>
<ol itemprop="HowTo" itemscope="true" itemtype="http://schema.org/HowToSection" dir="auto">
<li itemprop="itemListElement" itemscope="true" itemtype="http://schema.org/HowToStep" dir="auto">
<p id="par_id681633516103267" class="listitem" dir="auto">Select the cell range or array containing the array formula. To select the whole array, position the cell cursor inside the array range, then press <span id="swlnsystextscalc0104060107xml_7" class="switchinline"><span hidden="true" id="MACtextscalc0104060107xml_7" class="MAC"><span class="keycode">Command</span></span><span hidden="true" id="defaulttextscalc0104060107xml_7"><span class="keycode">Ctrl</span></span></span> + <span class="keycode">/</span>, where <span class="keycode">/</span> is the division key on the numeric keypad.</p>
</li>
<li itemprop="itemListElement" itemscope="true" itemtype="http://schema.org/HowToStep" dir="auto">
<p id="par_id61633516164519" class="listitem" dir="auto">Press <span class="keycode">Delete</span> to delete the array contents, including the array formula, or press <span class="keycode">Backspace</span> and this brings up the <a target="_top" href="en-US/text/scalc/01/02150000.html">Delete Contents</a> dialog box. Select <span class="emph">Formula</span> or <span class="emph">Delete All</span> and click <span class="emph">OK</span>.</p>
</li>
</ol>
<h3 id="hd_id3145608" dir="auto">Copying Array Formulas</h3>
<ol itemprop="HowTo" itemscope="true" itemtype="http://schema.org/HowToSection" dir="auto">
<li itemprop="itemListElement" itemscope="true" itemtype="http://schema.org/HowToStep" dir="auto">
<p id="par_id3149585" class="listitem" dir="auto">Select the cell range or array containing the array formula.</p>
</li>
<li itemprop="itemListElement" itemscope="true" itemtype="http://schema.org/HowToStep" dir="auto">
<p id="par_id3154619" class="listitem" dir="auto">Either press <span class="emph">F2</span> or position the cursor in the input line.</p>
</li>
<li itemprop="itemListElement" itemscope="true" itemtype="http://schema.org/HowToStep" dir="auto">
<p id="par_id3150994" class="listitem" dir="auto">Copy the formula into the input line by pressing <span id="swlnsystextscalc0104060107xml_8" class="switchinline"><span hidden="true" id="MACtextscalc0104060107xml_8" class="MAC"><span class="emph">Command</span></span><span hidden="true" id="defaulttextscalc0104060107xml_8"><span class="emph">Ctrl</span></span></span><span class="emph"> + C</span>.</p>
</li>
<li itemprop="itemListElement" itemscope="true" itemtype="http://schema.org/HowToStep" dir="auto">
<p id="par_id3146787" class="listitem" dir="auto">Select a range of cells where you want to insert the array formula and either press <span class="emph">F2</span> or position the cursor in the input line.</p>
</li>
<li itemprop="itemListElement" itemscope="true" itemtype="http://schema.org/HowToStep" dir="auto">
<p id="par_id3154419" class="listitem" dir="auto">Paste the formula by pressing <span id="swlnsystextscalc0104060107xml_9" class="switchinline"><span hidden="true" id="MACtextscalc0104060107xml_9" class="MAC"><span class="emph">Command</span></span><span hidden="true" id="defaulttextscalc0104060107xml_9"><span class="emph">Ctrl</span></span></span><span class="emph"> + V</span> in the selected space and confirm it by pressing <span id="swlnsystextscalc0104060107xml_10" class="switchinline"><span hidden="true" id="MACtextscalc0104060107xml_10" class="MAC"><span class="emph">Command</span></span><span hidden="true" id="defaulttextscalc0104060107xml_10"><span class="emph">Ctrl</span></span></span><span class="emph"> + Shift + Enter</span>. The selected range now contains the array formula.</p>
</li>
</ol>
<h3 id="hd_id3154834" dir="auto">Adjusting an Array Range</h3>
<p id="par_id3148679" class="paragraph" dir="auto">If you want to edit the output array, do the following:</p>
<ol itemprop="HowTo" itemscope="true" itemtype="http://schema.org/HowToSection" dir="auto">
<li itemprop="itemListElement" itemscope="true" itemtype="http://schema.org/HowToStep" dir="auto">
<p id="par_id3151102" class="listitem" dir="auto">Select the cell range or array containing the array formula.</p>
</li>
<li itemprop="itemListElement" itemscope="true" itemtype="http://schema.org/HowToStep" dir="auto">
<p id="par_id3147096" class="listitem" dir="auto">Below the selection, to the right, you will see a small icon with which you can zoom in or out on the range using your mouse.</p>
</li>
</ol>
<div class="note">
<div class="noteicon" dir="auto"><img src="media/icon-themes/res/helpimg/note.svg" alt="note" style="width:40px;height:40px;"></div>
<div class="notetext"><p id="par_id3150974" dir="auto">When you adjust the array range, the array formula will not automatically be adjusted. You are only changing the range in which the result will appear.</p></div>
</div>
<br>
<p id="par_id3146080" class="paragraph" dir="auto">By holding down the <span id="swlnsystextscalc0104060107xml_11" class="switchinline"><span hidden="true" id="MACtextscalc0104060107xml_11" class="MAC"><span class="emph">Command</span></span><span hidden="true" id="defaulttextscalc0104060107xml_11"><span class="emph">Ctrl</span></span></span> key, you can create a copy of the array formula in the given range.</p>
<h3 id="par_idN10D47" dir="auto">Conditional Array Calculations</h3>
<p id="par_idN10D4B" class="paragraph" dir="auto">A conditional array calculation is an array or matrix formula that includes an IF() or CHOOSE() function. The condition argument in the formula is an area reference or a matrix result.</p>
<p id="par_idN10D4E" class="paragraph" dir="auto">In the following example, the >0 test of the {=IF(A1:A3>0;"yes";"no")} formula is applied to each cell in the range A1:A3 and the result is copied to the corresponding cell.</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_idN10D65" class="tableheadintable" dir="auto">A</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_idN10D6B" class="tableheadintable" dir="auto">B (formula)</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_idN10B75" class="tableheadintable" dir="auto">B (result)</p>
</th>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_idN10D79" class="tableheadintable" dir="auto">1</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10D80" class="paragraphintable" dir="auto">1</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10D86" class="paragraphintable" dir="auto">{=IF(A1:A3>0;"yes";"no")}</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10D8C" class="tablecontentintable" dir="auto">yes</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_idN10D94" class="tableheadintable" dir="auto">2</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10D9B" class="paragraphintable" dir="auto">0</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10DA1" class="paragraphintable" dir="auto">{=IF(A1:A3>0;"yes";"no")}</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10DA7" class="tablecontentintable" dir="auto">no</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_idN10DAF" class="tableheadintable" dir="auto">3</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10DB6" class="paragraphintable" dir="auto">1</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10DBC" class="paragraphintable" dir="auto">{=IF(A1:A3>0;"yes";"no")}</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10DC2" class="tablecontentintable" dir="auto">yes</p>
</td>
</tr>
</table>
<br>
<p id="par_idN10DD0" class="paragraph" dir="auto">The following functions provide forced array handling: CORREL, COVAR, FORECAST, FTEST, INTERCEPT, MDETERM, MINVERSE, MMULT, MODE, PEARSON, PROB, RSQ, SLOPE, STEYX, SUMPRODUCT, SUMX2MY2, SUMX2PY2, SUMXMY2, TTEST. If you use area references as arguments when you call one of these functions, the functions behave as array functions. The following table provides an example of forced array handling:</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_idN10DE2" class="tableheadintable" dir="auto">A</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_idN10DE8" class="tableheadintable" dir="auto">B (formula)</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_idN10DEE" class="tableheadintable" dir="auto">B (result)</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_idN10DF4" class="tableheadintable" dir="auto">C (forced array formula)</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_idN10DFA" class="tableheadintable" dir="auto">C (result)</p>
</th>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_idN10E02" class="tableheadintable" dir="auto">1</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10E09" class="tablecontentintable" dir="auto">1</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10E0F" class="tablecontentintable" dir="auto">=A1:A2+1</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10E17" class="tablecontentintable" dir="auto">2</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10E1D" class="tablecontentintable" dir="auto">=SUMPRODUCT(A1:A2+1)</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10E25" class="tablecontentintable" dir="auto">5</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_idN10E2D" class="tableheadintable" dir="auto">2</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10E34" class="tablecontentintable" dir="auto">2</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10E3A" class="tablecontentintable" dir="auto">=A1:A2+1</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10E42" class="tablecontentintable" dir="auto">3</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10E48" class="tablecontentintable" dir="auto">=SUMPRODUCT(A1:A2+1)</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10E50" class="tablecontentintable" dir="auto">5</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_idN10E58" class="tableheadintable" dir="auto">3</p>
</th>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10E63" class="tablecontentintable" dir="auto">=A1:A2+1</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10E6A" class="tablecontentintable" dir="auto">#VALUE!</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10E70" class="tablecontentintable" dir="auto">=SUMPRODUCT(A1:A2+1)</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN10E78" class="tablecontentintable" dir="auto">5</p>
</td>
</tr>
</table>
<br>
<a name="Section13"></a>
<a name="bm_id3159084"></a>
<meta itemprop="keywords" content="FREQUENCY function">
<a name="bm_id3153883"></a>
<h2 id="hd_id3159084" dir="auto">FREQUENCY</h2>
<p id="par_id3145777" class="paragraph" dir="auto"><span class="avis">Indicates the frequency distribution in a one-column-array.</span> The function counts the number of values in the <span class="emph">Data</span> array that are within the values given by the <span class="emph">Classes</span> array.</p>
<div class="embedded">
<a name="sectionsyntax"></a>
<h4 id="hd_id3152015" dir="auto">Syntax</h4>
</div>
<p id="par_id3155498" class="code" dir="auto">FREQUENCY(Data; Classes)</p>
<p id="par_id3154352" class="paragraph" dir="auto"><span class="emph">Data</span> represents the reference to the values to be counted.</p>
<p id="par_id3148402" class="paragraph" dir="auto"><span class="emph">Classes</span> represents the array of the limit values.</p>
<div class="embedded">
<a name="datenumbersequencenote"></a>
<div class="note">
<div class="noteicon" dir="auto"><img src="media/icon-themes/res/helpimg/note.svg" alt="note" style="width:40px;height:40px;"></div>
<div class="notetext"><p id="par_id301616845402409" dir="auto">This function ignores any text or empty cell within a data range. If you suspect wrong results from this function, look for text in the data ranges. To highlight text contents in a data range, use the <a target="_top" href="en-US/text/scalc/01/03080000.html">value highlighting</a> feature.</p></div>
</div>
<br>
</div>
<div class="note">
<div class="noteicon" dir="auto"><img src="media/icon-themes/res/helpimg/note.svg" alt="note" style="width:40px;height:40px;"></div>
<div class="notetext"><p id="par_idN10D71" dir="auto">You can find a general introduction to Array functions at the top of this page.</p></div>
</div>
<br>
<div class="embedded">
<a name="sectionexample"></a>
<h4 id="hd_id281171" dir="auto">Example</h4>
</div>
<p id="par_id3155904" class="paragraph" dir="auto">In the following table, column A lists unsorted measurement values. Column B contains the upper limit you entered for the classes into which you want to divide the data in column A. According to the limit entered in B1, the FREQUENCY function returns the number of measured values less than or equal to 5. As the limit in B2 is 10, the FREQUENCY function returns the second result as the number of measured values that are greater than 5 and less than or equal to 10. The text you entered in B6, ">25", is only for reference purposes.</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_id3155869" class="tableheadintable" dir="auto">A</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3149328" class="tableheadintable" dir="auto">B</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3152467" class="tableheadintable" dir="auto">C</p>
</th>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3154528" class="tableheadintable" dir="auto">1</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3149744" class="paragraphintable" dir="auto">12</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3147309" class="paragraphintable" dir="auto">5</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3154199" class="paragraphintable" dir="auto">1</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3159218" class="tableheadintable" dir="auto">2</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3153263" class="paragraphintable" dir="auto">8</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3156201" class="paragraphintable" dir="auto">10</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3147552" class="paragraphintable" dir="auto">3</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3149174" class="tableheadintable" dir="auto">3</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3151201" class="paragraphintable" dir="auto">24</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3150245" class="paragraphintable" dir="auto">15</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3159194" class="paragraphintable" dir="auto">2</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3146925" class="tableheadintable" dir="auto">4</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3154128" class="paragraphintable" dir="auto">11</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3151067" class="paragraphintable" dir="auto">20</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3156033" class="paragraphintable" dir="auto">3</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3149298" class="tableheadintable" dir="auto">5</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3151382" class="paragraphintable" dir="auto">5</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3155141" class="paragraphintable" dir="auto">25</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3145213" class="paragraphintable" dir="auto">1</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3145268" class="tableheadintable" dir="auto">6</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3163724" class="paragraphintable" dir="auto">20</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3147132" class="paragraphintable" dir="auto">>25</p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3148903" class="paragraphintable" dir="auto">1</p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3151007" class="tableheadintable" dir="auto">7</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3153294" class="paragraphintable" dir="auto">16</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_id3147284" class="tableheadintable" dir="auto">8</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3154914" class="paragraphintable" dir="auto">9</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_id3154218" class="tableheadintable" dir="auto">9</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3147226" class="paragraphintable" dir="auto">7</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_id3149045" class="tableheadintable" dir="auto">10</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3155799" class="paragraphintable" dir="auto">16</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_id3155076" class="tableheadintable" dir="auto">11</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3150217" class="paragraphintable" dir="auto">33</p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
</td>
</tr>
</table>
<br>
<p id="par_id3150312" class="paragraph" dir="auto">Select a single column range in which to enter the frequency according to the class limits. You must select one field more than the class ceiling. In this example, select the range C1:C6. Call up the FREQUENCY function in the <span class="emph">Function Wizard</span>. Select the <span class="emph">Data</span> range in (A1:A11), and then the <span class="emph">Classes</span> range in which you entered the class limits (B1:B6). Select the <span class="emph">Array</span> check box and click <span class="emph">OK</span>. You will see the frequency count in the range C1:C6.</p>
<p id="par_idN11269" class="paragraph" dir="auto">More explanations on top of this page.</p>
<a name="Section1"></a>
<a name="bm_id3166317"></a>
<meta itemprop="keywords" content="GROWTH function">
<meta itemprop="keywords" content="exponential trends in arrays">
<a name="bm_id3166329"></a>
<h2 id="hd_id3166317" dir="auto">GROWTH</h2>
<p id="par_id3166346" class="paragraph" dir="auto"><span class="avis">Calculates the points of an exponential trend in an array.</span></p>
<div class="embedded">
<a name="sectionsyntax"></a>
<h4 id="hd_id3152015" dir="auto">Syntax</h4>
</div>
<p id="par_id3166377" class="code" dir="auto">GROWTH(DataY [; [ DataX ] [; [ NewDataX ] [; FunctionType ] ] ])</p>
<p id="par_id3166392" class="paragraph" dir="auto"><span class="emph">DataY</span> represents the Y Data array.</p>
<p id="par_id3166411" class="paragraph" dir="auto"><span class="emph">DataX</span> (optional) represents the X Data array.</p>
<p id="par_id3173797" class="paragraph" dir="auto"><span class="emph">NewDataX</span> (optional) represents the X data array, in which the values are recalculated.</p>
<p id="par_id3173817" class="paragraph" dir="auto"><span class="emph">FunctionType</span> (optional). If FunctionType = 0, functions in the form y = m^x will be calculated. Otherwise, y = b*m^x functions will be calculated.</p>
<p id="par_idN11DFD" class="paragraph" dir="auto">In the LibreOffice Calc functions, parameters marked as "optional" can be left out only when no parameter follows. For example, in a function with four parameters, where the last two parameters are marked as "optional", you can leave out parameter 4 or parameters 3 and 4, but you cannot leave out parameter 3 alone.</p>
<p id="par_idN12113" class="paragraph" dir="auto">More explanations on top of this page.</p>
<div class="embedded">
<a name="sectionexample"></a>
<h4 id="hd_id281171" dir="auto">Example</h4>
</div>
<p id="par_id3173852" class="paragraph" dir="auto">This function returns an array and is handled in the same way as the other array functions. Select a range where you want the answers to appear and select the function. Select <span class="emph">DataY</span>. Enter any other parameters, mark <span class="emph">Array</span> and click <span class="emph">OK</span>.</p>
<a name="Section8"></a>
<a name="bm_id3109846"></a>
<meta itemprop="keywords" content="LINEST function">
<a name="bm_id3144716"></a>
<h2 id="hd_id3109846" dir="auto">LINEST</h2>
<p id="par_id3144733" class="paragraph" dir="auto"><span class="avis">Returns a table of statistics for a straight line that best fits a data set.</span></p>
<div class="embedded">
<a name="sectionsyntax"></a>
<h4 id="hd_id3152015" dir="auto">Syntax</h4>
</div>
<p id="par_id3152839" class="code" dir="auto">LINEST(data_Y [; data_X [; linearType [; stats]]])</p>
<p id="par_id3152853" class="paragraph" dir="auto"><span class="emph">data_Y</span> is a single row or column range specifying the y coordinates in a set of data points.</p>
<p id="par_id3154428" class="paragraph" dir="auto"><span class="emph">data_X</span> is a corresponding single row or column range specifying the x coordinates. If <span class="emph">data_X</span> is omitted it defaults to <span class="literal">1, 2, 3, ..., n</span>. If there is more than one set of variables <span class="emph">data_X</span> may be a range with corresponding multiple rows or columns.</p>
<p id="par_id0811200804502119" class="paragraph" dir="auto">LINEST finds a straight line <span class="literal">y = a + bx</span> that best fits the data, using linear regression (the "least squares" method). With more than one set of variables the straight line is of the form <span class="literal">y = a + b1x1 + b2x2 ... + bnxn</span>.</p>
<p id="par_id3154448" class="paragraph" dir="auto">If <span class="emph">linearType</span> is FALSE the straight line found is forced to pass through the origin (the constant a is zero; y = bx). If omitted, <span class="emph">linearType</span> defaults to TRUE (the line is not forced through the origin).</p>
<p id="par_id3154142" class="paragraph" dir="auto">If <span class="emph">stats</span> is omitted or FALSE only the top line of the statistics table is returned. If TRUE the entire table is returned.</p>
<p id="par_id0811200804502261" class="paragraph" dir="auto">LINEST returns a table (array) of statistics as below and must be entered as an array formula (for example by using <span id="swlnsystextscalc0104060107xml_15" class="switchinline"><span hidden="true" id="MACtextscalc0104060107xml_15" class="MAC"><span class="emph">Command</span></span><span hidden="true" id="defaulttextscalc0104060107xml_15"><span class="emph">Ctrl</span></span></span><span class="emph"> + Shift + Return</span> rather than just <span class="emph">Return</span>).</p>
<p id="par_idN11416" class="paragraph" dir="auto">In the LibreOffice Calc functions, parameters marked as "optional" can be left out only when no parameter follows. For example, in a function with four parameters, where the last two parameters are marked as "optional", you can leave out parameter 4 or parameters 3 and 4, but you cannot leave out parameter 3 alone.</p>
<p id="par_idN116C6" class="paragraph" dir="auto">More explanations on top of this page.</p>
<div class="embedded">
<a name="sectionexample"></a>
<h4 id="hd_id281171" dir="auto">Example</h4>
</div>
<p id="par_id3154176" class="paragraph" dir="auto">This function returns an array and is handled in the same way as the other array functions. Select a range for the answers and then the function. Select <span class="emph">data_Y</span>. If you want, you can enter other parameters. Select <span class="emph">Array</span> and click <span class="emph">OK</span>.</p>
<p id="par_id3155468" class="paragraph" dir="auto">The results returned by the system (if <span class="emph">stats</span> = 0), will at least show the slope of the regression line and its intersection with the Y axis. If <span class="emph">stats</span> does not equal 0, other results are to be displayed.</p>
<h3 id="hd_id3155491" dir="auto">Other LINEST Results:</h3>
<p id="par_id3159291" class="paragraph" dir="auto">Examine the following examples:</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_id3157922" class="tableheadintable" dir="auto">A</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3157945" class="tableheadintable" dir="auto">B</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3152486" class="tableheadintable" dir="auto">C</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3152509" class="tableheadintable" dir="auto">D</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3152532" class="tableheadintable" dir="auto">E</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3153431" class="tableheadintable" dir="auto">F</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3153454" class="tableheadintable" dir="auto">G</p>
</th>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3154995" class="tableheadintable" dir="auto">1</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3155021" class="paragraphintable" dir="auto"><span class="input">x1</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3155044" class="paragraphintable" dir="auto"><span class="input">x2</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3163734" class="paragraphintable" dir="auto"><span class="input">y</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3163766" class="paragraphintable" dir="auto"><span class="input" data-tooltip="Click on text to copy to clipboard">LINEST value</span></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_id3145686" class="tableheadintable" dir="auto">2</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3145713" class="paragraphintable" dir="auto"><span class="input">4</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3145736" class="paragraphintable" dir="auto"><span class="input">7</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3159427" class="paragraphintable" dir="auto"><span class="input">100</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3159460" class="paragraphintable" dir="auto"><span class="input" data-tooltip="Click on text to copy to clipboard">4,17</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3159483" class="paragraphintable" dir="auto">-<span class="input" data-tooltip="Click on text to copy to clipboard">3,48</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3152381" class="paragraphintable" dir="auto"><span class="input" data-tooltip="Click on text to copy to clipboard">82,33</span></p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3152408" class="tableheadintable" dir="auto">3</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3152435" class="paragraphintable" dir="auto"><span class="input">5</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3152458" class="paragraphintable" dir="auto"><span class="input">9</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3155652" class="paragraphintable" dir="auto"><span class="input">105</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3155684" class="paragraphintable" dir="auto"><span class="input" data-tooltip="Click on text to copy to clipboard">5,46</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3155707" class="paragraphintable" dir="auto"><span class="input" data-tooltip="Click on text to copy to clipboard">10,96</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3155730" class="paragraphintable" dir="auto"><span class="input" data-tooltip="Click on text to copy to clipboard">9,35</span></p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3159506" class="tableheadintable" dir="auto">4</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3159533" class="paragraphintable" dir="auto"><span class="input">6</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3159556" class="paragraphintable" dir="auto"><span class="input">11</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3159579" class="paragraphintable" dir="auto"><span class="input">104</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3159611" class="paragraphintable" dir="auto"><span class="input" data-tooltip="Click on text to copy to clipboard">0,87</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3152606" class="paragraphintable" dir="auto"><span class="input" data-tooltip="Click on text to copy to clipboard">5,06</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3152629" class="paragraphintable" dir="auto"><span class="input">#NA</span></p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3152655" class="tableheadintable" dir="auto">5</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3152682" class="paragraphintable" dir="auto"><span class="input">7</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3152705" class="paragraphintable" dir="auto"><span class="input">12</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3152728" class="paragraphintable" dir="auto"><span class="input">108</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3144352" class="paragraphintable" dir="auto"><span class="input" data-tooltip="Click on text to copy to clipboard">13,21</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3144375" class="paragraphintable" dir="auto"><span class="input">4</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3144398" class="paragraphintable" dir="auto"><span class="input">#NA</span></p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3144425" class="tableheadintable" dir="auto">6</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3144452" class="paragraphintable" dir="auto"><span class="input">8</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3144475" class="paragraphintable" dir="auto"><span class="input">15</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3144498" class="paragraphintable" dir="auto"><span class="input">111</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3158233" class="paragraphintable" dir="auto"><span class="input" data-tooltip="Click on text to copy to clipboard">675,45</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3158256" class="paragraphintable" dir="auto"><span class="input" data-tooltip="Click on text to copy to clipboard">102,26</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3158279" class="paragraphintable" dir="auto"><span class="input">#NA</span></p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_id3158306" class="tableheadintable" dir="auto">7</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3158333" class="paragraphintable" dir="auto"><span class="input">9</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3158356" class="paragraphintable" dir="auto"><span class="input">17</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3158379" class="paragraphintable" dir="auto"><span class="input">120</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
</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_id3144560" class="tableheadintable" dir="auto">8</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3144586" class="paragraphintable" dir="auto"><span class="input">10</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3144609" class="paragraphintable" dir="auto"><span class="input">19</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_id3144632" class="paragraphintable" dir="auto"><span class="input">133</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
</td>
<td rowspan="" colspan="" dir="auto">
</td>
</tr>
</table>
<br>
<p id="par_id3144687" class="paragraph" dir="auto">Column A contains several X1 values, column B several X2 values and column C the Y values. You have already entered these values in your spreadsheet. You have now set up E2:G6 in the spreadsheet and activated the <span class="emph">Function Wizard</span>. For the LINEST function to work, you must have marked the <span class="emph">Array</span> check box in the <span class="emph">Function Wizard</span>. Next, select the following values in the spreadsheet (or enter them using the keyboard):</p>
<p id="par_id3158020" class="paragraph" dir="auto"><span class="emph">data_Y</span> is C2:C8</p>
<p id="par_id3158039" class="paragraph" dir="auto"><span class="emph">data_X</span> is A2:B8</p>
<p id="par_id3158058" class="paragraph" dir="auto"><span class="emph">linearType</span> and <span class="emph">stats</span> are both set to 1.</p>
<p id="par_id3158084" class="paragraph" dir="auto">As soon as you click <span class="emph">OK</span>, LibreOffice Calc will fill the above example with the LINEST values as shown in the example.</p>
<p id="par_id3158106" class="paragraph" dir="auto">The formula in the <span class="emph">Formula</span> bar corresponds to each cell of the LINEST array <span class="input" data-tooltip="Click on text to copy to clipboard">{=LINEST(C2:C8;A2:B8;1;1)}</span>.</p>
<p id="par_id3158128" class="paragraph" dir="auto"><span class="emph">This represents the calculated LINEST values:</span></p>
<a name="bm_id3158146"></a>
<meta itemprop="keywords" content="slopes, see also regression lines">
<meta itemprop="keywords" content="regression lines, LINEST function">
<p id="par_id3158146" class="paragraph" dir="auto">E2 and F2: Slope m of the regression line y=b+m*x for the x1 and x2 values. The values are given in reverse order; that is, the slope for x2 in E2 and the slope for x1 in F2.</p>
<p id="par_id3158184" class="paragraph" dir="auto">G2: Intersection b with the y axis.</p>
<a name="bm_id3158204"></a>
<meta itemprop="keywords" content="standard errors, array functions">
<p id="par_id3158204" class="paragraph" dir="auto">E3 and F3: The standard error of the slope value.</p>
<p id="par_id3145845" class="paragraph" dir="auto">G3: The standard error of the intercept</p>
<a name="bm_id3145859"></a>
<meta itemprop="keywords" content="RSQ calculations">
<p id="par_id3145859" class="paragraph" dir="auto">E4: RSQ</p>
<p id="par_id3145880" class="paragraph" dir="auto">F4: The standard error of the regression calculated for the Y value.</p>
<p id="par_id3145894" class="paragraph" dir="auto">E5: The F value from the variance analysis.</p>
<p id="par_id3145915" class="paragraph" dir="auto">F5: The degrees of freedom from the variance analysis.</p>
<p id="par_id3145937" class="paragraph" dir="auto">E6: The sum of the squared deviation of the estimated Y values from their linear mean.</p>
<p id="par_id3145952" class="paragraph" dir="auto">F6: The sum of the squared deviation of the estimated Y value from the given Y values.</p>
<p id="par_idN11B04" class="paragraph" dir="auto">More explanations on top of this page.</p>
<a name="Section7"></a>
<a name="bm_id1596728"></a>
<meta itemprop="keywords" content="LOGEST function">
<a name="bm_id3146020"></a>
<h2 id="hd_id3146009" dir="auto">LOGEST</h2>
<p id="par_id3146037" class="paragraph" dir="auto"><span class="avis">This function calculates the adjustment of the entered data as an exponential regression curve (y=b*m^x).</span></p>
<div class="embedded">
<a name="sectionsyntax"></a>
<h4 id="hd_id3152015" dir="auto">Syntax</h4>
</div>
<p id="par_id3163123" class="code" dir="auto">LOGEST(DataY [; DataX [; FunctionType [; Stats]]])</p>
<p id="par_id3163137" class="paragraph" dir="auto"><span class="emph">DataY</span> represents the Y Data array.</p>
<p id="par_id3163155" class="paragraph" dir="auto"><span class="emph">DataX</span> (optional) represents the X Data array.</p>
<p id="par_id3163174" class="paragraph" dir="auto"><span class="emph">FunctionType</span> (optional). If Function_Type = 0, functions in the form y = m^x will be calculated. Otherwise, y = b*m^x functions will be calculated.</p>
<p id="par_id3163196" class="paragraph" dir="auto"><span class="emph">Stats</span> (optional). If Stats=0, only the regression coefficient is calculated.</p>
<p id="par_idN118F7" class="paragraph" dir="auto">In the LibreOffice Calc functions, parameters marked as "optional" can be left out only when no parameter follows. For example, in a function with four parameters, where the last two parameters are marked as "optional", you can leave out parameter 4 or parameters 3 and 4, but you cannot leave out parameter 3 alone.</p>
<p id="par_idN11BC3" class="paragraph" dir="auto">More explanations on top of this page.</p>
<div class="embedded">
<a name="sectionexample"></a>
<h4 id="hd_id281171" dir="auto">Example</h4>
</div>
<p id="par_id3163230" class="paragraph" dir="auto">See LINEST. However, no square sum will be returned.</p>
<a name="Section12"></a>
<a name="bm_id3151030"></a>
<meta itemprop="keywords" content="MDETERM function">
<meta itemprop="keywords" content="determinants">
<a name="bm_id3154057"></a>
<h2 id="hd_id3151030" dir="auto">MDETERM</h2>
<p id="par_id3154073" class="paragraph" dir="auto"><span class="avis">Returns the array determinant of an array.</span> This function returns a value in the current cell; it is not necessary to define a range for the results.</p>
<div class="embedded">
<a name="sectionsyntax"></a>
<h4 id="hd_id3152015" dir="auto">Syntax</h4>
</div>
<p id="par_id3156380" class="code" dir="auto">MDETERM(Array)</p>
<p id="par_id3150290" class="paragraph" dir="auto"><span class="emph">Array</span> represents a square array in which the determinants are defined.</p>
<div class="note">
<div class="noteicon" dir="auto"><img src="media/icon-themes/res/helpimg/note.svg" alt="note" style="width:40px;height:40px;"></div>
<div class="notetext"><p id="par_idN11635" dir="auto">You can find a general introduction to using Array functions on top of this page.</p></div>
</div>
<br>
<p id="par_idN11333" class="paragraph" dir="auto">More explanations on top of this page.</p>
<a name="Section11"></a>
<a name="bm_id3151348"></a>
<meta itemprop="keywords" content="MINVERSE function">
<meta itemprop="keywords" content="inverse arrays">
<a name="bm_id3151360"></a>
<h2 id="hd_id3151348" dir="auto">MINVERSE</h2>
<p id="par_id3145569" class="paragraph" dir="auto"><span class="avis">Returns the inverse array.</span></p>
<div class="embedded">
<a name="sectionsyntax"></a>
<h4 id="hd_id3152015" dir="auto">Syntax</h4>
</div>
<p id="par_id3156085" class="code" dir="auto">MINVERSE(Array)</p>
<p id="par_id3157849" class="paragraph" dir="auto"><span class="emph">Array</span> represents a square array that is to be inverted.</p>
<p id="par_idN113EE" class="paragraph" dir="auto">More explanations on top of this page.</p>
<div class="embedded">
<a name="sectionexample"></a>
<h4 id="hd_id281171" dir="auto">Example</h4>
</div>
<p id="par_id3149638" class="paragraph" dir="auto">Select a square range and select MINVERSE. Select the output array, select the <span class="emph">Array</span> field and click <span class="emph">OK</span>.</p>
<a name="Section10"></a>
<a name="bm_id3148546"></a>
<meta itemprop="keywords" content="MMULT function">
<a name="bm_id3148501"></a>
<h2 id="hd_id3148546" dir="auto">MMULT</h2>
<p id="par_id3148518" class="paragraph" dir="auto"><span class="avis">Calculates the array product of two arrays.</span> The number of columns for array 1 must match the number of rows for array 2. The square array has an equal number of rows and columns.</p>
<div class="embedded">
<a name="sectionsyntax"></a>
<h4 id="hd_id3152015" dir="auto">Syntax</h4>
</div>
<p id="par_id3150798" class="code" dir="auto">MMULT(Array 1; Array 2)</p>
<p id="par_id3150812" class="paragraph" dir="auto"><span class="emph">Array 1</span> represents the first array used in the array product.</p>
<p id="par_id3152553" class="paragraph" dir="auto"><span class="emph">Array 2</span> represents the second array with the same number of rows.</p>
<div class="note">
<div class="noteicon" dir="auto"><img src="media/icon-themes/res/helpimg/note.svg" alt="note" style="width:40px;height:40px;"></div>
<div class="notetext"><p id="par_idN114C3" dir="auto">More explanations on top of this page.</p></div>
</div>
<br>
<div class="embedded">
<a name="sectionexample"></a>
<h4 id="hd_id281171" dir="auto">Example</h4>
</div>
<p id="par_id3146826" class="paragraph" dir="auto">Select a square range. Choose the MMULT function. Select <span class="emph">Array 1</span>, then select <span class="emph">Array 2</span>. Using the <span class="emph">Function Wizard</span>, mark the <span class="emph">Array</span> check box. Click <span class="emph">OK</span>. The output array will appear in the first selected range.</p>
<a name="Section14"></a>
<a name="bm_id3158446"></a>
<meta itemprop="keywords" content="MUNIT function">
<a name="bm_id3151317"></a>
<h2 id="hd_id3158446" dir="auto">MUNIT</h2>
<p id="par_id3154121" class="paragraph" dir="auto"><span class="avis">Returns the unitary square array of a certain size.</span> The unitary array is a square array where the main diagonal elements equal 1 and all other array elements are equal to 0.</p>
<div class="embedded">
<a name="sectionsyntax"></a>
<h4 id="hd_id3152015" dir="auto">Syntax</h4>
</div>
<p id="par_id3156271" class="code" dir="auto">MUNIT(Dimensions)</p>
<p id="par_id3159390" class="paragraph" dir="auto"><span class="emph">Dimensions</span> refers to the size of the array unit.</p>
<div class="note">
<div class="noteicon" dir="auto"><img src="media/icon-themes/res/helpimg/note.svg" alt="note" style="width:40px;height:40px;"></div>
<div class="notetext"><p id="par_idN10C9B" dir="auto">You can find a general introduction to Array functions at the top of this page.</p></div>
</div>
<br>
<div class="embedded">
<a name="sectionexample"></a>
<h4 id="hd_id281171" dir="auto">Example</h4>
</div>
<p id="par_id3150949" class="paragraph" dir="auto">Select a square range within the spreadsheet, for example, from A1 to E5.</p>
<p id="par_id3151260" class="paragraph" dir="auto">Without deselecting the range, select the MUNIT function. Mark the <span class="emph">Array</span> check box. Enter the desired dimensions for the array unit, in this case <span class="input">5</span>, and click <span class="emph">OK</span>.</p>
<p id="par_id3150403" class="paragraph" dir="auto">You can also enter the <span class="input" data-tooltip="Click on text to copy to clipboard">=MUNIT(5)</span> formula in the last cell of the selected range (E5), and press <span id="swlnsystextscalc0104060107xml_12" class="switchinline"><span hidden="true" id="MACtextscalc0104060107xml_12" class="MAC"><span class="keycode">Shift + Command + Enter</span></span><span hidden="true" id="defaulttextscalc0104060107xml_12"><span class="keycode">Shift + Ctrl + Enter</span></span></span>.</p>
<p id="par_id3156143" class="paragraph" dir="auto">You now see a unit array with a range of A1:E5.</p>
<p id="par_idN10FA7" class="paragraph" dir="auto">More explanations on top of this page.</p>
<a name="Section6"></a>
<a name="bm_id3163286"></a>
<meta itemprop="keywords" content="SUMPRODUCT function">
<meta itemprop="keywords" content="scalar products">
<meta itemprop="keywords" content="dot products">
<meta itemprop="keywords" content="inner products">
<a name="bm_id3163297"></a>
<h2 id="hd_id3163286" dir="auto">SUMPRODUCT</h2>
<p id="par_id3163314" class="paragraph" dir="auto"><span class="avis">Multiplies corresponding elements in the given arrays, and returns the sum of those products.</span></p>
<div class="embedded">
<a name="sectionsyntax"></a>
<h4 id="hd_id3152015" dir="auto">Syntax</h4>
</div>
<p id="par_id3163347" class="code" dir="auto">SUMPRODUCT(Array 1[; Array 2;][...;[Array 255]])</p>
<p id="par_id3163362" class="paragraph" dir="auto"><span class="emph">Array 1[; Array 2;][...;[Array 255]]</span> represent arrays whose corresponding elements are to be multiplied.</p>
<p id="par_idN11B19" class="paragraph" dir="auto">At least one array must be part of the argument list. If only one array is given, all array elements are summed. If more than one array is given, they must all be the same size.</p>
<div class="embedded">
<a name="sectionexample"></a>
<h4 id="hd_id281171" dir="auto">Example</h4>
</div>
<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_idN11B2F" class="tableheadintable" dir="auto">A</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_idN11B36" class="tableheadintable" dir="auto">B</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_idN11B3B" class="tableheadintable" dir="auto">C</p>
</th>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_idN11B41" class="tableheadintable" dir="auto">D</p>
</th>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_idN11B48" class="tableheadintable" dir="auto">1</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN11B4E" class="tablecontentintable" dir="auto"><span class="input">2</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN11B54" class="tablecontentintable" dir="auto"><span class="input">3</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN11B5A" class="tablecontentintable" dir="auto"><span class="input">4</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN11B60" class="tablecontentintable" dir="auto"><span class="input">5</span></p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_idN11B67" class="tableheadintable" dir="auto">2</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN11B6D" class="tablecontentintable" dir="auto"><span class="input">6</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN11B73" class="tablecontentintable" dir="auto"><span class="input">7</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN11B79" class="tablecontentintable" dir="auto"><span class="input">8</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN11B7F" class="tablecontentintable" dir="auto"><span class="input">9</span></p>
</td>
</tr>
<tr>
<th rowspan="" colspan="" class="tableheadcell" dir="auto">
<p id="par_idN11B86" class="tableheadintable" dir="auto">3</p>
</th>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN11B8C" class="tablecontentintable" dir="auto"><span class="input">10</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN11B92" class="tablecontentintable" dir="auto"><span class="input">11</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN11B98" class="tablecontentintable" dir="auto"><span class="input">12</span></p>
</td>
<td rowspan="" colspan="" dir="auto">
<p id="par_idN11B9E" class="tablecontentintable" dir="auto"><span class="input">13</span></p>
</td>
</tr>
</table>
<br>
<p id="par_idN11BA1" class="paragraph" dir="auto"><span class="input" data-tooltip="Click on text to copy to clipboard">=SUMPRODUCT(A1:B3;C1:D3)</span> returns 397.</p>
<p id="par_idN11BA4" class="paragraph" dir="auto">Calculation: A1*C1 + B1*D1 + A2*C2 + B2*D2 + A3*C3 + B3*D3</p>
<p id="par_idN11BA7" class="paragraph" dir="auto">You can use SUMPRODUCT to calculate the scalar product of two vectors.</p>
<div class="note">
<div class="noteicon" dir="auto"><img src="media/icon-themes/res/helpimg/note.svg" alt="note" style="width:40px;height:40px;"></div>
<div class="notetext"><p id="par_idN11BBC" dir="auto">SUMPRODUCT returns a single number, it is not necessary to enter the function as an array function.</p></div>
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<p id="par_idN11C91" class="paragraph" dir="auto">More explanations on top of this page.</p>
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<h2 id="hd_id3144842" dir="auto">SUMX2MY2</h2>
<p id="par_id3144871" class="paragraph" dir="auto"><span class="avis">Returns the sum of the difference of squares of corresponding values in two arrays.</span></p>
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<h4 id="hd_id3152015" dir="auto">Syntax</h4>
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<p id="par_id3144903" class="code" dir="auto">SUMX2MY2(ArrayX; ArrayY)</p>
<p id="par_id3144916" class="paragraph" dir="auto"><span class="emph">ArrayX</span> represents the first array whose elements are to be squared and added.</p>
<p id="par_id3144936" class="paragraph" dir="auto"><span class="emph">ArrayY</span> represents the second array whose elements are to be squared and subtracted.</p>
<p id="par_idN11D6B" class="paragraph" dir="auto">More explanations on top of this page.</p>
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<h2 id="hd_id3145026" dir="auto">SUMX2PY2</h2>
<p id="par_id3145055" class="paragraph" dir="auto"><span class="avis">Returns the sum of the sum of squares of corresponding values in two arrays.</span></p>
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<h4 id="hd_id3152015" dir="auto">Syntax</h4>
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<p id="par_id3163404" class="code" dir="auto">SUMX2PY2(ArrayX; ArrayY)</p>
<p id="par_id3163417" class="paragraph" dir="auto"><span class="emph">ArrayX</span> represents the first array whose elements are to be squared and added.</p>
<p id="par_id3163437" class="paragraph" dir="auto"><span class="emph">ArrayY</span> represents the second array, whose elements are to be squared and added.</p>
<p id="par_idN11E45" class="paragraph" dir="auto">More explanations on top of this page.</p>
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<h2 id="hd_id3163527" dir="auto">SUMXMY2</h2>
<p id="par_id3163556" class="paragraph" dir="auto"><span class="avis">Adds the squares of the variance between corresponding values in two arrays.</span></p>
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<h4 id="hd_id3152015" dir="auto">Syntax</h4>
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<p id="par_id3163588" class="code" dir="auto">SUMXMY2(ArrayX; ArrayY)</p>
<p id="par_id3163601" class="paragraph" dir="auto"><span class="emph">ArrayX</span> represents the first array whose elements are to be subtracted and squared.</p>
<p id="par_id3163621" class="paragraph" dir="auto"><span class="emph">ArrayY</span> represents the second array, whose elements are to be subtracted and squared.</p>
<p id="par_idN11F1F" class="paragraph" dir="auto">More explanations on top of this page.</p>
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<h2 id="hd_id3154970" dir="auto">TRANSPOSE</h2>
<p id="par_id3155276" class="paragraph" dir="auto"><span class="avis">Transposes the rows and columns of an array.</span></p>
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<h4 id="hd_id3152015" dir="auto">Syntax</h4>
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<p id="par_id3153843" class="code" dir="auto">TRANSPOSE(Array)</p>
<p id="par_id3153857" class="paragraph" dir="auto"><span class="emph">Array</span> represents the array in the spreadsheet that is to be transposed.</p>
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<div class="notetext"><p id="par_idN11035" dir="auto">You can find a general introduction to using Array functions on top of this page.</p></div>
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<p id="par_id3159366" class="paragraph" dir="auto">In the spreadsheet, select the range in which the transposed array can appear. If the original array has n rows and m columns, your selected range must have at least m rows and n columns. Then enter the formula directly, select the original array and press <span id="swlnsystextscalc0104060107xml_13" class="switchinline"><span hidden="true" id="MACtextscalc0104060107xml_13" class="MAC"><span class="emph">Shift + Command + Enter</span></span><span hidden="true" id="defaulttextscalc0104060107xml_13"><span class="emph">Shift + Ctrl + Enter</span></span></span>. Or, if you are using the <span class="emph">Function Wizard</span>, mark the <span class="emph">Array</span> check box. The transposed array appears in the selected target range and is protected automatically against changes.</p>
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<p id="par_idN11B3G" class="tableheadintable" dir="auto">A</p>
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<p id="par_idN11B46" class="tableheadintable" dir="auto">B</p>
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<p id="par_idN11B6C" class="tableheadintable" dir="auto">C</p>
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<p id="par_idN11B52" class="tableheadintable" dir="auto">D</p>
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<p id="par_idN11B69" class="tableheadintable" dir="auto">1</p>
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<p id="par_idN11B8F" class="tableicontentintable" dir="auto"><span class="input">2</span></p>
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<p id="par_idN11B35" class="tablecontentintable" dir="auto"><span class="input">3</span></p>
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<p id="par_idN11B1B" class="tablecontentintable" dir="auto"><span class="input">4</span></p>
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<p id="par_idN11B21" class="tablecontentintable" dir="auto"><span class="input">5</span></p>
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<p id="par_idN11B38" class="tableheadintable" dir="auto">2</p>
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<p id="par_idN11B6F" class="tablecontentintable" dir="auto"><span class="input">6</span></p>
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<p id="par_idN11B75" class="tablecontentintable" dir="auto"><span class="input">7</span></p>
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<p id="par_idN11B81" class="tablecontentintable" dir="auto"><span class="input">8</span></p>
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<p id="par_idN11B7H" class="tablecontentintable" dir="auto"><span class="input">9</span></p>
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<p id="par_id3168518" class="paragraph" dir="auto">The above table is 2 rows, 4 columns. In order to transpose it, you must select 4 rows, 2 columns. Assuming you want to transpose the above table to the range A7:B10 (4 rows, 2 columns) you must select the entire range and then enter the following:</p>
<p id="par_id3166145" class="code" dir="auto">TRANSPOSE(A1:D2)</p>
<p id="par_id3178518" class="paragraph" dir="auto">Then <span class="emph">make sure to enter it as matrix formula with </span><span id="swlnsystextscalc0104060107xml_14" class="switchinline"><span hidden="true" id="MACtextscalc0104060107xml_14" class="MAC"><span class="emph">Shift + Command + Enter</span></span><span hidden="true" id="defaulttextscalc0104060107xml_14"><span class="emph">Shift + Ctrl + Enter</span></span></span>. The result will be as follows:</p>
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<p id="par_idN21B2H" class="tableheadintable" dir="auto">A</p>
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<p id="par_idN21B38" class="tableheadintable" dir="auto">B</p>
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<p id="par_idN21B50" class="tableheadintable" dir="auto">7</p>
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<p id="par_idN21B4G" class="tablecontentintable" dir="auto"><span class="input">2</span></p>
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<p id="par_idN21B57" class="tablecontentintable" dir="auto"><span class="input">6</span></p>
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<p id="par_idN21B70" class="tableheadintable" dir="auto">8</p>
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<p id="par_idN21B6F" class="tablecontentintable" dir="auto"><span class="input">3</span></p>
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<p id="par_idN21B77" class="tablecontentintable" dir="auto"><span class="input">7</span></p>
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<p id="par_idN21B71" class="tableheadintable" dir="auto">9</p>
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<p id="par_idN31B6F" class="tablecontentintable" dir="auto"><span class="input">4</span></p>
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<p id="par_idN31B77" class="tablecontentintable" dir="auto"><span class="input">8</span></p>
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<p id="par_idN51B70" class="tableheadintable" dir="auto">10</p>
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<p id="par_idN51B6F" class="tablecontentintable" dir="auto"><span class="input">5</span></p>
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<p id="par_idN61B77" class="tablecontentintable" dir="auto"><span class="input">9</span></p>
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<h2 id="hd_id3166062" dir="auto">TREND</h2>
<p id="par_id3166091" class="paragraph" dir="auto"><span class="avis">Returns values along a linear trend.</span></p>
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<p id="par_id3166122" class="code" dir="auto">TREND(DataY [; DataX [; NewDataX [; LinearType]]])</p>
<p id="par_id3166137" class="paragraph" dir="auto"><span class="emph">DataY</span> represents the Y Data array.</p>
<p id="par_id3166156" class="paragraph" dir="auto"><span class="emph">DataX</span> (optional) represents the X Data array.</p>
<p id="par_id3166176" class="paragraph" dir="auto"><span class="emph">NewDataX</span> (optional) represents the array of the X data, which are used for recalculating values.</p>
<p id="par_id3166196" class="paragraph" dir="auto"><span class="emph">LinearType</span> (optional). If LinearType = 0, then lines will be calculated through the zero point. Otherwise, offset lines will also be calculated. The default is LinearType <> 0.</p>
<p id="par_idN11D2F" class="paragraph" dir="auto">In the LibreOffice Calc functions, parameters marked as "optional" can be left out only when no parameter follows. For example, in a function with four parameters, where the last two parameters are marked as "optional", you can leave out parameter 4 or parameters 3 and 4, but you cannot leave out parameter 3 alone.</p>
<p id="par_idN12019" class="paragraph" dir="auto">More explanations on top of this page.</p>
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<h4 id="hd_id281171" dir="auto">Example</h4>
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<p id="par_id3166245" class="paragraph" dir="auto">Select a spreadsheet range in which the trend data will appear. Select the function. Enter the output data or select it with the mouse. Mark the <span class="emph">Array</span> field, click <span class="emph">OK</span>. The trend data calculated from the output data is displayed.</p>
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