函数
>
数据分析
>
平滑
> 示例：自适应平滑
示例：自适应平滑
使用函数
supsmooth
平滑数据集。
1.
通过对余弦函数进行变换，创建云状数据集。
<region id="ID0EXPKV" top="192.00000000000003" left="19.200000000000003" height="111.24000000000001" width="226.65333333333334" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="31"> <define xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve">M</id> <matrix rows="200" cols="2"> <display size="4,2" /> <real>0.0153449</real> <real>0.0159473</real> <real>0.0188398</real> <real>0.0200937</real> <real>0.0207407</real> <real>0.0279934</real> <real>0.0313075</real> <real>0.0337235</real> <real>0.0367756</real> <real>0.0368341</real> <real>0.0477188</real> <real>0.0596322</real> <real>0.0615252</real> <real>0.0667264</real> <real>0.0880314</real> <real>0.106212</real> <real>0.114755</real> <real>0.125734</real> <real>0.13098</real> <real>0.132615</real> <real>0.140181</real> <real>0.148275</real> <real>0.149904</real> <real>0.159996</real> <real>0.160516</real> <real>0.167491</real> <real>0.16885</real> <real>0.17534</real> <real>0.176078</real> <real>0.18147</real> <real>0.183209</real> <real>0.184511</real> <real>0.184658</real> <real>0.193931</real> <real>0.194955</real> <real>0.196857</real> <real>0.202522</real> <real>0.202817</real> <real>0.202906</real> <real>0.206095</real> <real>0.20889</real> <real>0.2126</real> <real>0.231719</real> <real>0.238448</real> <real>0.248565</real> <real>0.249411</real> <real>0.251845</real> <real>0.25575</real> <real>0.255797</real> <real>0.264038</real> <real>0.265081</real> <real>0.26639</real> <real>0.269569</real> <real>0.270734</real> <real>0.272782</real> <real>0.273339</real> <real>0.282613</real> <real>0.28308</real> <real>0.298869</real> <real>0.306302</real> <real>0.312885</real> <real>0.317558</real> <real>0.328889</real> <real>0.335665</real> <real>0.353001</real> <real>0.36245</real> <real>0.384043</real> <real>0.39164</real> <real>0.399816</real> <real>0.402863</real> <real>0.404053</real> <real>0.407062</real> <real>0.410934</real> <real>0.411243</real> <real>0.419991</real> <real>0.421003</real> <real>0.421682</real> <real>0.426531</real> <real>0.437504</real> <real>0.441372</real> <real>0.441428</real> <real>0.444045</real> <real>0.446305</real> <real>0.450196</real> <real>0.457477</real> <real>0.45838</real> <real>0.458494</real> <real>0.459455</real> <real>0.465547</real> <real>0.479552</real> <real>0.48511</real> <real>0.487262</real> <real>0.490441</real> <real>0.490987</real> <real>0.501704</real> <real>0.502471</real> <real>0.507845</real> <real>0.51288</real> <real>0.529488</real> <real>0.532308</real> <real>0.533466</real> <real>0.538114</real> <real>0.542486</real> <real>0.544422</real> <real>0.551945</real> <real>0.555954</real> <real>0.557206</real> <real>0.558411</real> <real>0.568034</real> <real>0.57018</real> <real>0.575202</real> <real>0.58187</real> <real>0.581879</real> <real>0.58521</real> <real>0.587525</real> <real>0.588322</real> <real>0.595793</real> <real>0.596795</real> <real>0.599668</real> <real>0.602293</real> <real>0.606112</real> <real>0.607896</real> <real>0.610287</real> <real>0.614921</real> <real>0.618878</real> <real>0.618902</real> <real>0.620651</real> <real>0.625041</real> <real>0.629672</real> <real>0.630129</real> <real>0.632975</real> <real>0.640243</real> <real>0.644181</real> <real>0.649321</real> <real>0.659726</real> <real>0.677411</real> <real>0.685766</real> <real>0.690693</real> <real>0.70673</real> <real>0.719525</real> <real>0.723285</real> <real>0.727836</real> <real>0.728325</real> <real>0.731006</real> <real>0.734309</real> <real>0.745897</real> <real>0.749087</real> <real>0.756801</real> <real>0.759002</real> <real>0.76048</real> <real>0.768052</real> <real>0.776034</real> <real>0.780772</real> <real>0.795684</real> <real>0.796558</real> <real>0.797546</real> <real>0.802986</real> <real>0.814864</real> <real>0.817652</real> <real>0.817679</real> <real>0.819415</real> <real>0.819679</real> <real>0.82515</real> <real>0.829128</real> <real>0.830828</real> <real>0.833046</real> <real>0.841903</real> <real>0.842515</real> <real>0.849444</real> <real>0.85415</real> <real>0.855304</real> <real>0.864224</real> <real>0.866884</real> <real>0.873448</real> <real>0.878346</real> <real>0.884444</real> <real>0.889699</real> <real>0.895217</real> <real>0.901946</real> <real>0.905032</real> <real>0.905797</real> <real>0.913767</real> <real>0.923016</real> <real>0.923481</real> <real>0.937554</real> <real>0.940958</real> <real>0.944426</real> <real>0.946524</real> <real>0.954684</real> <real>0.955284</real> <real>0.959511</real> <real>0.959696</real> <real>0.961372</real> <real>0.961457</real> <real>0.973549</real> <real>0.977677</real> <real>0.988453</real> <real>0.996967</real> <real>0.997996</real> <real>0.998413</real> <real>-0.996292</real> <real>-0.978358</real> <real>-0.969115</real> <real>-1.01191</real> <real>-0.905724</real> <real>-0.972392</real> <real>-0.951489</real> <real>-0.946647</real> <real>-1.01098</real> <real>-0.868515</real> <real>-0.80683</real> <real>-0.881267</real> <real>-0.78137</real> <real>-0.744788</real> <real>-0.690646</real> <real>-0.517013</real> <real>-0.3218</real> <real>-0.254435</real> <real>-0.177192</real> <real>-0.0558737</real> <real>-0.149357</real> <real>0.136379</real> <real>-0.603297</real> <real>-0.042565</real> <real>-0.0782242</real> <real>0.297834</real> <real>-0.127587</real> <real>-0.276848</real> <real>0.0000615187</real> <real>-0.00559782</real> <real>-0.155011</real> <real>-0.159369</real> <real>0.193051</real> <real>0.287207</real> <real>-0.263845</real> <real>-0.257829</real> <real>0.517697</real> <real>0.691028</real> <real>0.622757</real> <real>0.9498</real> <real>0.61179</real> <real>0.587528</real> <real>0.373018</real> <real>1.14451</real> <real>0.872233</real> <real>0.78026</real> <real>0.578715</real> <real>0.458164</real> <real>0.722291</real> <real>0.799332</real> <real>1.5497</real> <real>0.771772</real> <real>0.567623</real> <real>0.68592</real> <real>0.058429</real> <real>0.79593</real> <real>0.753613</real> <real>0.626745</real> <real>1.14836</real> <real>0.6821</real> <real>1.06349</real> <real>1.27522</real> <real>1.66686</real> <real>0.578128</real> <real>0.862488</real> <real>0.272926</real> <real>2.21376</real> <real>0.171188</real> <real>0.956173</real> <real>-0.301753</real> <real>0.982612</real> <real>0.478152</real> <real>1.59155</real> <real>0.861657</real> <real>0.921545</real> <real>1.49595</real> <real>0.838622</real> <real>0.599754</real> <real>-0.265972</real> <real>0.111032</real> <real>1.26982</real> <real>1.73324</real> <real>-0.174144</real> <real>-0.176507</real> <real>1.212</real> <real>-0.792555</real> <real>1.12532</real> <real>0.546594</real> <real>-0.00422573</real> <real>-0.233727</real> <real>0.614337</real> <real>-0.883268</real> <real>0.934717</real> <real>-0.0466867</real> <real>-0.621937</real> <real>-0.0154291</real> <real>0.410488</real> <real>0.397052</real> <real>-0.639838</real> <real>-0.381434</real> <real>-0.371741</real> <real>-0.656548</real> <real>-0.820955</real> <real>-1.3625</real> <real>-0.352109</real> <real>-0.203967</real> <real>0.22387</real> <real>-1.13266</real> <real>0.732541</real> <real>0.631979</real> <real>-0.406171</real> <real>-0.843796</real> <real>-0.204535</real> <real>0.405871</real> <real>-1.26086</real> <real>-1.2001</real> <real>-0.999837</real> <real>-0.777015</real> <real>-2.04931</real> <real>-1.82392</real> <real>-0.831366</real> <real>-0.570121</real> <real>-2.71776</real> <real>0.474745</real> <real>-0.589162</real> <real>-1.56846</real> <real>-0.569274</real> <real>-0.446521</real> <real>-1.63746</real> <real>-0.633207</real> <real>-1.89787</real> <real>-1.13509</real> <real>0.314736</real> <real>-0.656269</real> <real>-0.648352</real> <real>-0.203041</real> <real>0.644692</real> <real>-0.484623</real> <real>0.257156</real> <real>-0.775555</real> <real>-1.37259</real> <real>1.08853</real> <real>-1.33202</real> <real>1.01296</real> <real>-0.981973</real> <real>-0.529366</real> <real>-2.06288</real> <real>0.606313</real> <real>-0.192775</real> <real>-0.751089</real> <real>-1.23622</real> <real>-2.41014</real> <real>0.964837</real> <real>-1.46657</real> <real>-0.88541</real> <real>0.780182</real> <real>-0.311908</real> <real>1.79398</real> <real>0.417421</real> <real>-0.0618658</real> <real>-0.319801</real> <real>-1.70874</real> <real>-0.633363</real> <real>-0.740354</real> <real>1.9078</real> <real>1.37731</real> <real>-1.62781</real> <real>0.802843</real> <real>-0.270086</real> <real>-0.891523</real> <real>-0.940725</real> <real>0.293748</real> <real>0.227838</real> <real>-0.909272</real> <real>0.23305</real> <real>-0.419934</real> <real>-0.406553</real> <real>2.5743</real> <real>-1.16072</real> <real>-0.0613312</real> <real>-0.631524</real> <real>1.94684</real> <real>1.65556</real> <real>-0.831856</real> <real>0.401844</real> <real>0.793753</real> <real>0.647058</real> <real>1.26345</real> <real>-0.261144</real> <real>1.42894</real> <real>0.649288</real> <real>-0.132032</real> <real>-0.663229</real> <real>2.04889</real> <real>0.860219</real> <real>1.29241</real> <real>0.475458</real> <real>-0.430081</real> <real>1.26762</real> <real>3.51077</real> </matrix> </define> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" /> </resultFormat> </math> </region>
<region id="ID0EFQKV" top="268.80000000000007" left="19.200000000000003" height="27.752000000000002" width="65.316666666666663" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="33"> <define xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve">X</id> <apply> <matcol /> <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">M</id> <real>0</real> </apply> </define> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" /> </resultFormat> </math> </region>
<region id="ID0ETQKV" top="288.00000000000006" left="19.200000000000003" height="27.752000000000002" width="64.683333333333337" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="35"> <define xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve">Y</id> <apply> <matcol /> <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">M</id> <real>1</real> </apply> </define> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" /> </resultFormat> </math> </region>
2.
使用
supsmooth
函数对数据集执行自适应平滑。
<region id="ID0EHSKV" top="364.80000000000007" left="19.200000000000003" height="25.6" width="167.16666666666669" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="37"> <define xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve">Yss</id> <apply> <id labels="FUNCTION" xml:space="preserve" label-is-contextual="true">supsmooth</id> <sequence> <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">X</id> <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">Y</id> </sequence> </apply> </define> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" /> </resultFormat> </math> </region>
3.
使用
ksmooth
函数对数据集执行核平滑。
<region id="ID0EGUKV" top="460.80000000000007" left="19.200000000000003" height="25.6" width="102.74333333333335" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="39"> <define xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve">i</id> <range> <real>0</real> <apply> <id labels="FUNCTION" xml:space="preserve" label-is-contextual="true">last</id> <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">X</id> </apply> </range> </define> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" /> </resultFormat> </math> </region>
<region id="ID0EUUKV" top="480.00000000000006" left="19.200000000000003" height="25.6" width="182.56666666666669" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="41"> <define xmlns="http://schemas.mathsoft.com/math50"> <id labels="*" xml:space="preserve">Yks</id> <apply> <id labels="FUNCTION" xml:space="preserve" label-is-contextual="true">ksmooth</id> <sequence> <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">X</id> <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">Y</id> <real>0.1</real> </sequence> </apply> </define> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" /> </resultFormat> </math> </region>
4.
绘制平滑前后的数据集图像。将超级平滑数据集与核平滑数据集进行比较。
<region id="ID0EEWKV" top="499.20000000000005" left="19.200000000000003" height="312" width="537.836974823049" xmlns="http://schemas.mathsoft.com/worksheet50"> <plot origin-positioning="true"> <xyPlot> <title class="- topic/title " wwtype:type="Paragraph" xmlns:wwtype="urn:WebWorks-Type-Schema" /> <legend /> <traces> <trace resultRef="43"> <traceStyle color="#FF00008B" symbol="x" line-weight="1" line-style="None">lines</traceStyle> </trace> <trace resultRef="44"> <traceStyle color="#FFFF0000" symbol="none" line-weight="1" line-style="Solid">lines</traceStyle> </trace> <trace resultRef="45"> <traceStyle color="#FFFFFF00" symbol="none" line-weight="1" line-style="Solid">lines</traceStyle> </trace> </traces> <graph-size width="418.636974823049" height="235.2" /> <axes> <xAxis rank="1" legend-position="PlotBoundaryBottom" start="0.015" end="1.015"> <axisLine position="origin" positionticmark="4" legendWidth="64.2033333333333" /> <axisGrid> <gridFrequency>11</gridFrequency> <gridLabels display="true" /> <gridLines /> <tickMarks display="true" /> </axisGrid> <axisLabel /> <markers /> <numberFormat> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> </numberFormat> <plotEquations> <plotEquation> <math resultRef="46"> <id xml:space="preserve" xmlns="http://schemas.mathsoft.com/math50">X</id> </math> <math resultRef="47"> <placeholder xmlns="http://schemas.mathsoft.com/math50" /> </math> </plotEquation> </plotEquations> <xyDomain scale-type="linear" auto-scale="true"> <startValue> <placeholder xmlns="http://schemas.mathsoft.com/math50" /> </startValue> <endValue> <placeholder xmlns="http://schemas.mathsoft.com/math50" /> </endValue> </xyDomain> </xAxis> <yAxis rank="1" legend-position="PlotBoundaryLeft" start="-2.8" end="4.2"> <axisLine position="left" positionticmark="-1" legendWidth="78.2066666666667" /> <axisGrid> <gridFrequency>11</gridFrequency> <gridLabels display="true" /> <gridLines /> <tickMarks display="true" /> </axisGrid> <axisLabel /> <markers /> <numberFormat> <decimal precision="3" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> </numberFormat> <plotEquations> <plotEquation> <math resultRef="48"> <id xml:space="preserve" xmlns="http://schemas.mathsoft.com/math50">Y</id> </math> <math resultRef="49"> <placeholder xmlns="http://schemas.mathsoft.com/math50" /> </math> </plotEquation> <plotEquation> <math resultRef="50"> <id xml:space="preserve" xmlns="http://schemas.mathsoft.com/math50">Yss</id> </math> <math resultRef="51"> <placeholder xmlns="http://schemas.mathsoft.com/math50" /> </math> </plotEquation> <plotEquation> <math resultRef="52"> <id xml:space="preserve" xmlns="http://schemas.mathsoft.com/math50">Yks</id> </math> <math resultRef="53"> <placeholder xmlns="http://schemas.mathsoft.com/math50" /> </math> </plotEquation> </plotEquations> <xyDomain scale-type="linear" auto-scale="true"> <startValue> <placeholder xmlns="http://schemas.mathsoft.com/math50" /> </startValue> <endValue> <placeholder xmlns="http://schemas.mathsoft.com/math50" /> </endValue> </xyDomain> </yAxis> </axes> </xyPlot> </plot> </region>
复制表达式
相关主题
自适应平滑
这对您有帮助吗?
此站点在 JavaScript 启用时工作最佳
