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Чтобы этого не происходило добавлен оператор "</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">continue </inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">".</inlineAttr> </f> </text> </region> <region region-id="417" left="48" top="1140.75" width="78.75" height="15.75" align-x="98.25" align-y="1152" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve">rows</ml:id> <ml:id xml:space="preserve">V</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>13</ml:real> </result> </ml:eval> </math> <rendering item-idref="21"/> </region> <region region-id="425" left="132" top="1142.25" width="290.25" height="12" align-x="132" align-y="1152" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">-число строк вектор-столбца </inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">V</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">. Значение элемента в 5-й строке:</inlineAttr> </f> </text> </region> <region region-id="424" left="438" top="1140.75" width="70.5" height="17.25" align-x="464.25" align-y="1152" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">V</ml:id> <ml:real>11</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>-1.779618935552179</ml:real> </result> </ml:eval> </math> <rendering item-idref="22"/> </region> <region region-id="423" left="54" top="1162.5" width="52.5" height="23.25" align-x="77.25" align-y="1182" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">V1</ml:id> <ml:apply> <ml:vectorize/> <ml:apply> <ml:absval/> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="427" left="120" top="1172.25" width="280.5" height="12" align-x="120" align-y="1182" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">-операция выделения модулей компанент вектора. Например:</inlineAttr> </f> </text> </region> <region region-id="916" left="144" top="1200.75" width="71.25" height="17.25" align-x="171.75" align-y="1212" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">V1</ml:id> <ml:real>4</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.6963346208248096</ml:real> </result> </ml:eval> </math> <rendering item-idref="24"/> </region> <region region-id="429" left="54" top="1224.75" width="78" height="15" align-x="77.25" align-y="1236" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">V2</ml:id> <ml:apply> <ml:id xml:space="preserve">sort</ml:id> <ml:id xml:space="preserve">V1</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="915" left="144" top="1226.25" width="271.5" height="12" align-x="144" align-y="1236" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">-операция ранжирования в порядке возрастания компанент.</inlineAttr> </f> </text> </region> <region region-id="973" left="426" top="1224.75" width="70.5" height="17.25" align-x="459" align-y="1236" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">V2</ml:id> <ml:real>11</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.779618935552179</ml:real> </result> </ml:eval> </math> <rendering item-idref="26"/> </region> <region region-id="445" left="54" top="1248.75" width="91.5" height="15.75" align-x="117" align-y="1260" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve">length</ml:id> <ml:id xml:space="preserve">V2</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>13</ml:real> </result> </ml:eval> </math> <rendering item-idref="27"/> </region> <region region-id="446" left="156" top="1250.25" width="140.25" height="12" align-x="156" align-y="1260" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">-число компанент </inlineAttr> </f> <f family="Arial Cyr" charset="204">вектора </f>V2 .<f family="Arial Cyr" charset="204"> <inlineAttr line-through="false"> <sp/> </inlineAttr> </f> </text> </region> <region region-id="447" left="54" top="1272.75" width="78.75" height="15.75" align-x="104.25" align-y="1284" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve">last</ml:id> <ml:id xml:space="preserve">V2</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>13</ml:real> </result> </ml:eval> </math> <rendering item-idref="28"/> </region> <region region-id="448" left="150" top="1274.25" width="261.75" height="12" align-x="150" align-y="1284" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">-номер последней компаненты вектора </inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">V2 </inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">(счет идет с 1).</inlineAttr> </f> </text> </region> <region region-id="572" left="54" top="1298.25" width="232.5" height="12" align-x="54" align-y="1308" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">Пус</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">ть (т.к. 1-я </inlineAttr> </f> <f family="Arial Cyr" charset="204">компанента </f> <f family="Arial Cyr" charset="204">вектора </f>V2 <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">пустая)</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false"> <sp count="2"/>: н</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">ет</inlineAttr> </f> </text> </region> <region region-id="918" left="60" top="1320.75" width="83.25" height="15" align-x="77.25" align-y="1332" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">D</ml:id> <ml:apply> <ml:id xml:space="preserve">length</ml:id> <ml:id xml:space="preserve">V2</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="582" left="54" top="1352.25" width="264.75" height="12" align-x="54" align-y="1362" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">Вычислим порядковый номер " j " компаненты вектора </inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">V2:</inlineAttr> </f> </text> </region> <region region-id="580" left="54" top="1372.5" width="184.5" height="33.75" align-x="65.25" align-y="1392" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">j</ml:id> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:id xml:space="preserve">mod</ml:id> <ml:sequence> <ml:id xml:space="preserve">D</ml:id> <ml:real>2</ml:real> </ml:sequence> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">D</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">D</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="581" left="246" top="1380.75" width="33" height="15.75" align-x="256.5" align-y="1392" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">j</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>7</ml:real> </result> </ml:eval> </math> <rendering item-idref="31"/> </region> <region region-id="590" left="300" top="1380.75" width="69" height="17.25" align-x="325.5" align-y="1392" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">V2</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.0787219230126302</ml:real> </result> </ml:eval> </math> <rendering item-idref="32"/> </region> <region region-id="592" left="372" top="1380.75" width="80.25" height="17.25" align-x="408.75" align-y="1392" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">V2</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">j</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.1751264247792514</ml:real> </result> </ml:eval> </math> <rendering item-idref="33"/> </region> <region region-id="593" left="456" top="1380.75" width="23.25" height="15.75" align-x="466.5" align-y="1392" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>11</ml:real> </ml:parens> </math> <rendering item-idref="34"/> </region> <region region-id="585" left="54" top="1418.25" width="379.5" height="12" align-x="54" align-y="1428" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204">Вычислим </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">Esr, </inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">соответствующее </inlineAttr> </f> <f family="Arial Cyr" charset="204">порядковому номеру " j " компаненты вектора </f>V2: </text> </region> <region region-id="843" left="60" top="1443" width="208.5" height="35.25" align-x="86.25" align-y="1464" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Esr</ml:id> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:id xml:space="preserve">mod</ml:id> <ml:sequence> <ml:id xml:space="preserve">D</ml:id> <ml:real>2</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">V2</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">V2</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">V2</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">j</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="35"/> </region> <region region-id="842" left="300" top="1452.75" width="69" height="15.75" align-x="325.5" align-y="1464" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Esr</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.0787219230126302</ml:real> </result> </ml:eval> </math> <rendering item-idref="36"/> </region> <region region-id="786" left="480" top="1452.75" width="23.25" height="15.75" align-x="490.5" align-y="1464" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>12</ml:real> </ml:parens> </math> <rendering item-idref="37"/> </region> <region region-id="318" left="54" top="1502.25" width="401.25" height="36" align-x="54" align-y="1512" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">Т. о., за Еsr приблизительно принимают значение элемента, стоящего на </inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">j</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">-м</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">месте в ранжированном по возрастанию его элементов ряду. Точное Еsr было получено</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">ранее ( Еср). Погрешность (не) превышает </inlineAttr> </f> <f family="Arial Cyr" charset="204">10%</f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">. </inlineAttr> </f> </text> </region> <region region-id="461" left="54" top="1562.25" width="431.25" height="132" align-x="54" align-y="1572" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">Теперь, имея статистический ряд значений случайной величины </inlineAttr> </f> <f family="Arial Cyr" charset="204"> <sp/> </f>V<f family="Arial Cyr" charset="204"> <inlineAttr line-through="false"> или </inlineAttr> </f> <f family="Arial Cyr" charset="204"> <sp/> </f>V2<f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">, как бы забудем на</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">некоторое время, что он подчиняется нормальному закону распределения. И попробуем определить закон распределения (соответствие</inlineAttr> </f> <f family="Arial Cyr" charset="204"> нормальному</f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">) данного статистического ряда,</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">используя методику, изложенную выше.</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">1. Определяем значения центрированной случайной величины.</inlineAttr> </f> <inlineAttr line-through="false"> <f family="Arial Cyr" charset="204">2. Ранжируем ряд.</f> </inlineAttr> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">3.</inlineAttr> </f> <f family="Arial Cyr" charset="204"> Определяем</f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false"> Еsr.<sp count="2"/> </inlineAttr> </f> <inlineAttr line-through="false"> <f family="Arial Cyr" charset="204">Все это уже было сделано ранее.</f> </inlineAttr> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">4. </inlineAttr> </f> <f family="Arial Cyr" charset="204">Определяем среднеарифметическую ошибку по формуле (по сравнению с формулой (6)</f> <f family="Arial Cyr" charset="204">здесь берутся другие исходные данные):</f> </text> </region> <region region-id="804" left="54" top="1714.5" width="120.75" height="48.75" align-x="75.75" align-y="1740" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">a3</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">D</ml:id> </ml:apply> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">n</ml:id> </ml:boundVars> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">w</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:lambda> <ml:bounds> <ml:real>1</ml:real> <ml:id xml:space="preserve">S</ml:id> </ml:bounds> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="969" left="264" top="1728.75" width="45" height="15.75" align-x="280.5" align-y="1740" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">D</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>13</ml:real> </result> </ml:eval> </math> <rendering item-idref="39"/> </region> <region region-id="968" left="324" top="1714.5" width="93.75" height="48.75" align-x="345.75" align-y="1740" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">dd</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">D</ml:id> </ml:apply> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">i</ml:id> </ml:boundVars> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">V2</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:lambda> <ml:bounds> <ml:real>1</ml:real> <ml:id xml:space="preserve">D</ml:id> </ml:bounds> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="40"/> </region> <region region-id="967" left="432" top="1728.75" width="58.5" height="15.75" align-x="453" align-y="1740" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">dd</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.2100991598722328</ml:real> </result> </ml:eval> </math> <rendering item-idref="41"/> </region> <region region-id="970" left="198" top="1734.75" width="43.5" height="15.75" align-x="219" align-y="1746" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">a3</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>-6.8321416900009637E-17</ml:real> </result> </ml:eval> </math> <rendering item-idref="42"/> </region> <region region-id="791" left="462" top="1764.75" width="23.25" height="15.75" align-x="472.5" align-y="1776" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>13</ml:real> </ml:parens> </math> <rendering item-idref="43"/> </region> <region region-id="971" left="48" top="1770.75" width="61.5" height="17.25" align-x="66" align-y="1782" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">y</ml:id> <ml:real>2</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.14348997014890941</ml:real> </result> </ml:eval> </math> <rendering item-idref="44"/> </region> <region region-id="972" left="120" top="1770.75" width="43.5" height="17.25" align-x="141" align-y="1782" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">w</ml:id> <ml:real>2</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1</ml:real> </result> </ml:eval> </math> <rendering item-idref="45"/> </region> <region region-id="469" left="60" top="1814.25" width="174.75" height="24" align-x="60" align-y="1824" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">5. </inlineAttr> </f> <f family="Arial Cyr" charset="204">Определяем среднеквадратическое</f> <f family="Arial Cyr" charset="204">отклонение:</f> </text> </region> <region region-id="471" left="252" top="1809" width="130.5" height="50.25" align-x="267" align-y="1836" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">L</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">D</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">i</ml:id> </ml:boundVars> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">V2</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:lambda> <ml:bounds> <ml:real>1</ml:real> <ml:id xml:space="preserve">D</ml:id> </ml:bounds> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="46"/> </region> <region region-id="473" left="402" top="1824.75" width="57.75" height="15.75" align-x="416.25" align-y="1836" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">L</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.4650594463244775</ml:real> </result> </ml:eval> </math> <rendering item-idref="47"/> </region> <region region-id="475" left="474" top="1824.75" width="23.25" height="15.75" align-x="484.5" align-y="1836" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>14</ml:real> </ml:parens> </math> <rendering item-idref="48"/> </region> <region region-id="476" left="54" top="1880.25" width="99.75" height="12" align-x="54" align-y="1890" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">6. Далее о</inlineAttr> </f> <f family="Arial Cyr" charset="204">пределяем:</f> </text> </region> <region region-id="478" left="198" top="1877.25" width="72" height="32.25" align-x="226.5" align-y="1896" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Esr</ml:id> <ml:id xml:space="preserve">dd</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.891432668316641</ml:real> </result> </ml:eval> </math> <rendering item-idref="49"/> </region> <region region-id="480" left="312" top="1877.25" width="72" height="32.25" align-x="340.5" align-y="1896" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Esr</ml:id> <ml:id xml:space="preserve">L</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.73629908036763558</ml:real> </result> </ml:eval> </math> <rendering item-idref="50"/> </region> <region region-id="481" left="438" top="1884.75" width="23.25" height="15.75" align-x="448.5" align-y="1896" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>15</ml:real> </ml:parens> </math> <rendering item-idref="51"/> </region> <region region-id="482" left="54" top="1922.25" width="426" height="36" align-x="54" align-y="1932" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">7. Если отношения (15) отличаются от соответствующих 0,8453 и 0,6745 на величину порядка</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">10%, то условно принимают, что случайная величина подчиняется нормальному закону. У</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">нас это отличие составляет соответственно: 0,6% и 3,3%</inlineAttr> </f> </text> </region> <region region-id="960" left="402" top="1986.75" width="34.5" height="15.75" align-x="415.5" align-y="1998" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:globalDefine xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">n</ml:id> <ml:real>15</ml:real> </ml:globalDefine> </math> <rendering item-idref="52"/> </region> <region region-id="961" left="474" top="1986.75" width="23.25" height="15.75" align-x="484.5" align-y="1998" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>16</ml:real> </ml:parens> </math> <rendering item-idref="53"/> </region> <region region-id="541" left="102" top="1968" width="131.25" height="50.25" align-x="189.75" align-y="2004" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:div/> <ml:apply> <ml:absval/> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Esr</ml:id> <ml:id xml:space="preserve">dd</ml:id> </ml:apply> <ml:real>0.8453</ml:real> </ml:apply> </ml:apply> <ml:real>0.8453</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.054575497831114372</ml:real> </result> </ml:eval> </math> <rendering item-idref="54"/> </region> <region region-id="542" left="252" top="1968" width="131.25" height="50.25" align-x="339.75" align-y="2004" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:div/> <ml:apply> <ml:absval/> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Esr</ml:id> <ml:id xml:space="preserve">L</ml:id> </ml:apply> <ml:real>0.6745</ml:real> </ml:apply> </ml:apply> <ml:real>0.6745</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.0916220613308163</ml:real> </result> </ml:eval> </math> <rendering item-idref="55"/> </region> <region region-id="852" left="6" top="2030.25" width="452.25" height="12" align-x="6" align-y="2040" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">Делаем вывод, что рассматриваемый статистический ряд имеет нормальный закон распределения.</inlineAttr> </f> </text> </region> <region region-id="857" left="12" top="2060.25" width="498" height="108" align-x="12" align-y="2070" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">Замечание. Алгоритм нумерации компанент вектора V формируется так:</inlineAttr> </f> <inlineAttr line-through="false"> <f family="Arial Cyr" charset="204">1) выбирается палетта программирования; 2) переменной V присваивается значение "Add Line" из палетты; 3) записываем тело самой программы: а) r <- 0,<sp count="2"/>б)"for" из палетты; в) последовательно: if, continue, Wn, "жирный" знак равенства, ноль; 4) в синий угол (курсор) помещается "continue.." и нажимается "Add Line"; 5) оператор "for"; 6) </f> </inlineAttr> <f family="Arial Cyr" charset="204">в синий угол (курсор) помещается</f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false"> "черный прямоугольник" и </inlineAttr> </f> <f family="Arial Cyr" charset="204">"Add Line"</f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false"> ; присваиваем значения k<- j+r; Vk<-Yn; 7) </inlineAttr> </f> <f family="Arial Cyr" charset="204">в синий угол (курсор) помещается</f> <f family="Arial Cyr" charset="204">: "for, k, Vk" </f> <f family="Arial Cyr" charset="204">и нажимается </f> <f family="Arial Cyr" charset="204">"Add Line"; 8) r<- </f> <f family="Arial Cyr" charset="204">r+Wn; 9) </f> <f family="Arial Cyr" charset="204">в синий угол (курсор) помещается</f> <f family="Arial Cyr" charset="204">: "for n.. - r<-r+Wn" </f> <f family="Arial Cyr" charset="204">и нажимается </f> <f family="Arial Cyr" charset="204">"Add Line";</f> <f family="Arial Cyr" charset="204"> 10) записываем V.</f> <f family="Arial Cyr" charset="204">Тело программы сформировано! 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<f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">. В этой программе без</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">последнего "</inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">V"</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false"> результат теряет </inlineAttr> </f> <inlineAttr line-through="false"> <f family="Arial Cyr" charset="204">правильный смысл! Если встретится </f> </inlineAttr> <inlineAttr line-through="false"> <f family="Arial" charset="0">Wn=0, </f> </inlineAttr> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">то алгоритм начинает "врать". Чтобы этого не происходило добавлен оператор "</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">continue </inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">".</inlineAttr> </f> </text> </region> <region region-id="417" left="48" top="1140.75" width="78.75" height="15.75" align-x="98.25" align-y="1152" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve">rows</ml:id> <ml:id xml:space="preserve">V</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>13</ml:real> </result> </ml:eval> </math> <rendering item-idref="21"/> </region> <region region-id="425" left="132" top="1142.25" width="290.25" height="12" align-x="132" align-y="1152" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">-число строк вектор-столбца </inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">V</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">. Значение элемента в 5-й строке:</inlineAttr> </f> </text> </region> <region region-id="424" left="438" top="1140.75" width="70.5" height="17.25" align-x="464.25" align-y="1152" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">V</ml:id> <ml:real>11</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>-1.779618935552179</ml:real> </result> </ml:eval> </math> <rendering item-idref="22"/> </region> <region region-id="423" left="54" top="1162.5" width="52.5" height="23.25" align-x="77.25" align-y="1182" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">V1</ml:id> <ml:apply> <ml:vectorize/> <ml:apply> <ml:absval/> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="427" left="120" top="1172.25" width="280.5" height="12" align-x="120" align-y="1182" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">-операция выделения модулей компанент вектора. Например:</inlineAttr> </f> </text> </region> <region region-id="916" left="144" top="1200.75" width="71.25" height="17.25" align-x="171.75" align-y="1212" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">V1</ml:id> <ml:real>4</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.6963346208248096</ml:real> </result> </ml:eval> </math> <rendering item-idref="24"/> </region> <region region-id="429" left="54" top="1224.75" width="78" height="15" align-x="77.25" align-y="1236" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">V2</ml:id> <ml:apply> <ml:id 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</ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.779618935552179</ml:real> </result> </ml:eval> </math> <rendering item-idref="26"/> </region> <region region-id="445" left="54" top="1248.75" width="91.5" height="15.75" align-x="117" align-y="1260" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve">length</ml:id> <ml:id xml:space="preserve">V2</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>13</ml:real> </result> </ml:eval> </math> <rendering item-idref="27"/> </region> <region region-id="446" left="156" top="1250.25" width="140.25" height="12" align-x="156" align-y="1260" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">-число компанент </inlineAttr> </f> <f family="Arial Cyr" charset="204">вектора </f>V2 .<f family="Arial Cyr" charset="204"> <inlineAttr line-through="false"> <sp/> </inlineAttr> </f> </text> </region> <region region-id="447" left="54" top="1272.75" width="78.75" height="15.75" align-x="104.25" align-y="1284" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve">last</ml:id> <ml:id xml:space="preserve">V2</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>13</ml:real> </result> </ml:eval> </math> <rendering item-idref="28"/> </region> <region region-id="448" left="150" top="1274.25" width="261.75" height="12" align-x="150" align-y="1284" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">-номер последней компаненты вектора </inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">V2 </inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">(счет идет с 1).</inlineAttr> </f> </text> </region> <region region-id="572" left="54" top="1298.25" width="232.5" height="12" align-x="54" align-y="1308" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">Пус</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">ть (т.к. 1-я </inlineAttr> </f> <f family="Arial Cyr" charset="204">компанента </f> <f family="Arial Cyr" charset="204">вектора </f>V2 <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">пустая)</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false"> <sp count="2"/>: н</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">ет</inlineAttr> </f> </text> </region> <region region-id="918" left="60" top="1320.75" width="83.25" height="15" align-x="77.25" align-y="1332" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">D</ml:id> <ml:apply> <ml:id xml:space="preserve">length</ml:id> <ml:id xml:space="preserve">V2</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="582" left="54" top="1352.25" width="264.75" height="12" align-x="54" align-y="1362" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">Вычислим порядковый номер " j " компаненты вектора </inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">V2:</inlineAttr> </f> </text> </region> <region region-id="580" left="54" top="1372.5" width="184.5" height="33.75" align-x="65.25" align-y="1392" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">j</ml:id> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:id xml:space="preserve">mod</ml:id> <ml:sequence> <ml:id xml:space="preserve">D</ml:id> <ml:real>2</ml:real> </ml:sequence> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">D</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">D</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="581" left="246" top="1380.75" width="33" height="15.75" align-x="256.5" align-y="1392" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">j</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>7</ml:real> </result> </ml:eval> </math> <rendering item-idref="31"/> </region> <region region-id="590" left="300" top="1380.75" width="69" height="17.25" align-x="325.5" align-y="1392" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">V2</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.0787219230126302</ml:real> </result> </ml:eval> </math> <rendering item-idref="32"/> </region> <region region-id="592" left="372" top="1380.75" width="80.25" height="17.25" align-x="408.75" align-y="1392" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">V2</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">j</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.1751264247792514</ml:real> </result> </ml:eval> </math> <rendering item-idref="33"/> </region> <region region-id="593" left="456" top="1380.75" width="23.25" height="15.75" align-x="466.5" align-y="1392" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>11</ml:real> </ml:parens> </math> <rendering item-idref="34"/> </region> <region region-id="585" left="54" top="1418.25" width="379.5" height="12" align-x="54" align-y="1428" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204">Вычислим </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">Esr, </inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">соответствующее </inlineAttr> </f> <f family="Arial Cyr" charset="204">порядковому номеру " j " компаненты вектора </f>V2: </text> </region> <region region-id="843" left="60" top="1443" width="208.5" height="35.25" align-x="86.25" align-y="1464" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Esr</ml:id> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:id xml:space="preserve">mod</ml:id> <ml:sequence> <ml:id xml:space="preserve">D</ml:id> <ml:real>2</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">V2</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">V2</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">V2</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">j</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="35"/> </region> <region region-id="842" left="300" top="1452.75" width="69" height="15.75" align-x="325.5" align-y="1464" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Esr</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.0787219230126302</ml:real> </result> </ml:eval> </math> <rendering item-idref="36"/> </region> <region region-id="786" left="480" top="1452.75" width="23.25" height="15.75" align-x="490.5" align-y="1464" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>12</ml:real> </ml:parens> </math> <rendering item-idref="37"/> </region> <region region-id="318" left="54" top="1502.25" width="401.25" height="36" align-x="54" align-y="1512" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">Т. о., за Еsr приблизительно принимают значение элемента, стоящего на </inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">j</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">-м</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">месте в ранжированном по возрастанию его элементов ряду. Точное Еsr было получено</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">ранее ( Еср). Погрешность (не) превышает </inlineAttr> </f> <f family="Arial Cyr" charset="204">10%</f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">. </inlineAttr> </f> </text> </region> <region region-id="461" left="54" top="1562.25" width="431.25" height="132" align-x="54" align-y="1572" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">Теперь, имея статистический ряд значений случайной величины </inlineAttr> </f> <f family="Arial Cyr" charset="204"> <sp/> </f>V<f family="Arial Cyr" charset="204"> <inlineAttr line-through="false"> или </inlineAttr> </f> <f family="Arial Cyr" charset="204"> <sp/> </f>V2<f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">, как бы забудем на</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">некоторое время, что он подчиняется нормальному закону распределения. И попробуем определить закон распределения (соответствие</inlineAttr> </f> <f family="Arial Cyr" charset="204"> нормальному</f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">) данного статистического ряда,</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">используя методику, изложенную выше.</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">1. Определяем значения центрированной случайной величины.</inlineAttr> </f> <inlineAttr line-through="false"> <f family="Arial Cyr" charset="204">2. Ранжируем ряд.</f> </inlineAttr> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">3.</inlineAttr> </f> <f family="Arial Cyr" charset="204"> Определяем</f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false"> Еsr.<sp count="2"/> </inlineAttr> </f> <inlineAttr line-through="false"> <f family="Arial Cyr" charset="204">Все это уже было сделано ранее.</f> </inlineAttr> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">4. </inlineAttr> </f> <f family="Arial Cyr" charset="204">Определяем среднеарифметическую ошибку по формуле (по сравнению с формулой (6)</f> <f family="Arial Cyr" charset="204">здесь берутся другие исходные данные):</f> </text> </region> <region region-id="804" left="54" top="1714.5" width="120.75" height="48.75" align-x="75.75" align-y="1740" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">a3</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">D</ml:id> </ml:apply> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">n</ml:id> </ml:boundVars> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">w</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:lambda> <ml:bounds> <ml:real>1</ml:real> <ml:id xml:space="preserve">S</ml:id> </ml:bounds> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="969" left="264" top="1728.75" width="45" height="15.75" align-x="280.5" align-y="1740" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">D</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>13</ml:real> </result> </ml:eval> </math> <rendering item-idref="39"/> </region> <region region-id="968" left="324" top="1714.5" width="93.75" height="48.75" align-x="345.75" align-y="1740" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">dd</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">D</ml:id> </ml:apply> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">i</ml:id> </ml:boundVars> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">V2</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:lambda> <ml:bounds> <ml:real>1</ml:real> <ml:id xml:space="preserve">D</ml:id> </ml:bounds> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="40"/> </region> <region region-id="967" left="432" top="1728.75" width="58.5" height="15.75" align-x="453" align-y="1740" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">dd</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.2100991598722328</ml:real> </result> </ml:eval> </math> <rendering item-idref="41"/> </region> <region region-id="970" left="198" top="1734.75" width="43.5" height="15.75" align-x="219" align-y="1746" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">a3</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>-6.8321416900009637E-17</ml:real> </result> </ml:eval> </math> <rendering item-idref="42"/> </region> <region region-id="791" left="462" top="1764.75" width="23.25" height="15.75" align-x="472.5" align-y="1776" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>13</ml:real> </ml:parens> </math> <rendering item-idref="43"/> </region> <region region-id="971" left="48" top="1770.75" width="61.5" height="17.25" align-x="66" align-y="1782" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">y</ml:id> <ml:real>2</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.14348997014890941</ml:real> </result> </ml:eval> </math> <rendering item-idref="44"/> </region> <region region-id="972" left="120" top="1770.75" width="43.5" height="17.25" align-x="141" align-y="1782" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">w</ml:id> <ml:real>2</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1</ml:real> </result> </ml:eval> </math> <rendering item-idref="45"/> </region> <region region-id="469" left="60" top="1814.25" width="174.75" height="24" align-x="60" align-y="1824" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">5. </inlineAttr> </f> <f family="Arial Cyr" charset="204">Определяем среднеквадратическое</f> <f family="Arial Cyr" charset="204">отклонение:</f> </text> </region> <region region-id="471" left="252" top="1809" width="130.5" height="50.25" align-x="267" align-y="1836" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">L</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">D</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">i</ml:id> </ml:boundVars> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">V2</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:lambda> <ml:bounds> <ml:real>1</ml:real> <ml:id xml:space="preserve">D</ml:id> </ml:bounds> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="46"/> </region> <region region-id="473" left="402" top="1824.75" width="57.75" height="15.75" align-x="416.25" align-y="1836" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">L</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.4650594463244775</ml:real> </result> </ml:eval> </math> <rendering item-idref="47"/> </region> <region region-id="475" left="474" top="1824.75" width="23.25" height="15.75" align-x="484.5" align-y="1836" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>14</ml:real> </ml:parens> </math> <rendering item-idref="48"/> </region> <region region-id="476" left="54" top="1880.25" width="99.75" height="12" align-x="54" align-y="1890" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">6. Далее о</inlineAttr> </f> <f family="Arial Cyr" charset="204">пределяем:</f> </text> </region> <region region-id="478" left="198" top="1877.25" width="72" height="32.25" align-x="226.5" align-y="1896" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Esr</ml:id> <ml:id xml:space="preserve">dd</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.891432668316641</ml:real> </result> </ml:eval> </math> <rendering item-idref="49"/> </region> <region region-id="480" left="312" top="1877.25" width="72" height="32.25" align-x="340.5" align-y="1896" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Esr</ml:id> <ml:id xml:space="preserve">L</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.73629908036763558</ml:real> </result> </ml:eval> </math> <rendering item-idref="50"/> </region> <region region-id="481" left="438" top="1884.75" width="23.25" height="15.75" align-x="448.5" align-y="1896" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>15</ml:real> </ml:parens> </math> <rendering item-idref="51"/> </region> <region region-id="482" left="54" top="1922.25" width="426" height="36" align-x="54" align-y="1932" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">7. Если отношения (15) отличаются от соответствующих 0,8453 и 0,6745 на величину порядка</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">10%, то условно принимают, что случайная величина подчиняется нормальному закону. У</inlineAttr> </f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">нас это отличие составляет соответственно: 0,6% и 3,3%</inlineAttr> </f> </text> </region> <region region-id="960" left="402" top="1986.75" width="34.5" height="15.75" align-x="415.5" align-y="1998" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:globalDefine xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">n</ml:id> <ml:real>15</ml:real> </ml:globalDefine> </math> <rendering item-idref="52"/> </region> <region region-id="961" left="474" top="1986.75" width="23.25" height="15.75" align-x="484.5" align-y="1998" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:real>16</ml:real> </ml:parens> </math> <rendering item-idref="53"/> </region> <region region-id="541" left="102" top="1968" width="131.25" height="50.25" align-x="189.75" align-y="2004" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:div/> <ml:apply> <ml:absval/> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Esr</ml:id> <ml:id xml:space="preserve">dd</ml:id> </ml:apply> <ml:real>0.8453</ml:real> </ml:apply> </ml:apply> <ml:real>0.8453</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.054575497831114372</ml:real> </result> </ml:eval> </math> <rendering item-idref="54"/> </region> <region region-id="542" left="252" top="1968" width="131.25" height="50.25" align-x="339.75" align-y="2004" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:div/> <ml:apply> <ml:absval/> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Esr</ml:id> <ml:id xml:space="preserve">L</ml:id> </ml:apply> <ml:real>0.6745</ml:real> </ml:apply> </ml:apply> <ml:real>0.6745</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.0916220613308163</ml:real> </result> </ml:eval> </math> <rendering item-idref="55"/> </region> <region region-id="852" left="6" top="2030.25" width="452.25" height="12" align-x="6" align-y="2040" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">Делаем вывод, что рассматриваемый статистический ряд имеет нормальный закон распределения.</inlineAttr> </f> </text> </region> <region region-id="857" left="12" top="2060.25" width="498" height="108" align-x="12" align-y="2070" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false">Замечание. Алгоритм нумерации компанент вектора V формируется так:</inlineAttr> </f> <inlineAttr line-through="false"> <f family="Arial Cyr" charset="204">1) выбирается палетта программирования; 2) переменной V присваивается значение "Add Line" из палетты; 3) записываем тело самой программы: а) r <- 0,<sp count="2"/>б)"for" из палетты; в) последовательно: if, continue, Wn, "жирный" знак равенства, ноль; 4) в синий угол (курсор) помещается "continue.." и нажимается "Add Line"; 5) оператор "for"; 6) </f> </inlineAttr> <f family="Arial Cyr" charset="204">в синий угол (курсор) помещается</f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false"> "черный прямоугольник" и </inlineAttr> </f> <f family="Arial Cyr" charset="204">"Add Line"</f> <f family="Arial Cyr" charset="204"> <inlineAttr line-through="false"> ; присваиваем значения k<- j+r; Vk<-Yn; 7) </inlineAttr> </f> <f family="Arial Cyr" charset="204">в синий угол (курсор) помещается</f> <f family="Arial Cyr" charset="204">: "for, k, Vk" </f> <f family="Arial Cyr" charset="204">и нажимается </f> <f family="Arial Cyr" charset="204">"Add Line"; 8) r<- </f> <f family="Arial Cyr" charset="204">r+Wn; 9) </f> <f family="Arial Cyr" charset="204">в синий угол (курсор) помещается</f> <f family="Arial Cyr" charset="204">: "for n.. - r<-r+Wn" </f> <f family="Arial Cyr" charset="204">и нажимается </f> <f family="Arial Cyr" charset="204">"Add Line";</f> <f family="Arial Cyr" charset="204"> 10) записываем V.</f> <f family="Arial Cyr" charset="204">Тело программы сформировано! 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