Calculating the Extrapolate Method

Below is the example of using the GetMs operation to calculate an equation. The request contains an instance of opened modeling container, equation calculation pattern, and parameters of operation execution. The response contains an instance of the model that contains an equation with calculation results.

To execute the example, the equation must be calculated with the Extrapolate method.

The C# example uses the PrintStat, PrintCoef, PrintSeries auxiliary procedures to display results described in the Equation Calculation section.

SOAP request:

<s:Envelope xmlns:s="http://schemas.xmlsoap.org/soap/envelope/">
<s:Body xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xsd="http://www.w3.org/2001/XMLSchema">
<GetMs xmlns="http://www.prognoz.ru/PP.SOM.Som">
<tMs xmlns="">
  <id>JNLCLHMGDNMBFOAELPKIJBHANNONPCBEIJFLOLMEADGBMGDH!M!S!CEOONGIMGDNMBFOAELALNGGIOBDBEJFMELJOJAOPDLFDOADIF</id>
  </tMs>
<tArg xmlns="">
<pattern>
  <obInst>true</obInst>
<item>
  <key>89669</key>
<problem>
<metamodel>
  <calculationChain>Get</calculationChain>
<calcChainPattern>
<modelPattern>
<transform>
  <outputs>Get</outputs>
  <formulaCount>true</formulaCount>
<formulas>
<method>
  <series>true</series>
  </method>
  </formulas>
  <displayId>true</displayId>
<equationsFormula>
  <method />
  </equationsFormula>
  <series>Get</series>
  <kind>true</kind>
  <displaySettings>true</displaySettings>
  <additionalAttributes>true</additionalAttributes>
  <calculationType>true</calculationType>
  <calculationDirection>true</calculationDirection>
<transformVariable>
  <slices>Get</slices>
<transformSlice>
  <selection>Get</selection>
  </transformSlice>
  </transformVariable>
  </transform>
  <stochastic>true</stochastic>
  <calculationPeriod>true</calculationPeriod>
  <useModelPeriod>true</useModelPeriod>
  <useExistingData>true</useExistingData>
  <treatNullsAsZeros>true</treatNullsAsZeros>
  <autoName>true</autoName>
  <generatedName>true</generatedName>
  <period>true</period>
  <isExclusive>true</isExclusive>
  <useAutoPeriod>true</useAutoPeriod>
  </modelPattern>
<entryKeys>
  <l>4</l>
  </entryKeys>
  </calcChainPattern>
  </metamodel>
  </problem>
  </item>
  </pattern>
<execParams>
  <k>0</k>
<modelKeys>
  <l>4</l>
  </modelKeys>
  <scenarioKeys />
  <execMethod>true</execMethod>
  <execSummaryStatistics>true</execSummaryStatistics>
  <execCoefficients>true</execCoefficients>
  <execEvaluateSeries>true</execEvaluateSeries>
  <execStatCoefficients>true</execStatCoefficients>
  <execGenerateName>true</execGenerateName>
  </execParams>
  </tArg>
  </GetMs>
  </s:Body>
  </s:Envelope>

SOAP response:

<soapenv:Envelope xmlns:soapenv="http://schemas.xmlsoap.org/soap/envelope/">
<soapenv:Body>
<GetMsResult xmlns="http://www.prognoz.ru/PP.SOM.Som" xmlns:q1="http://www.prognoz.ru/PP.SOM.Som" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<id xmlns="">
  <id>JNLCLHMGDNMBFOAELPKIJBHANNONPCBEIJFLOLMEADGBMGDH!M!S!CEOONGIMGDNMBFOAELALNGGIOBDBEJFMELJOJAOPDLFDOADIF</id>
  </id>
<meta xmlns="">
<obInst>
<obDesc isShortcut="0" isLink="0" fullUrl="http://v-shp-development.dev.fs.fsight.world/" ver="4" hf="0">
  <i>MODELSPACE</i>
  <n>Modeling container</n>
  <k>1581</k>
  <c>5121</c>
  <p>1580</p>
  <h>0</h>
  <hasPrv>0</hasPrv>
  <ic>0</ic>
  <isPermanent>1</isPermanent>
  <isTemp>0</isTemp>
  </obDesc>
  </obInst>
  <dirty>0</dirty>
<item>
  <k>89669</k>
  <id>MODEL_NEW</id>
  <n>MODEL_NEW</n>
  <vis>1</vis>
  <type>Problem</type>
<problemMd>
<metamodel>
  <k>89670</k>
<calculationChain>
<its>
<Item>
  <k>4</k>
  <id>OBJ4</id>
  <n>MyOutputVavable|A[t] = Trend(MyInputVavable[t]), (From parent)-(From parent)</n>
  <vis>1</vis>
  <type>Model</type>
  <excluded>0</excluded>
  <graphMeta />
<model>
<transform>
<outputs>
<its>
<Item>
  <k>1</k>
  <id>VARIABLES_89670</id>
  <n>Variables</n>
  <vis>1</vis>
<slices>
<its>
<Item>
  <k>0</k>
  <id>MyOutputVavable|A</id>
  <n>MyOutputVavable|A</n>
  <vis>1</vis>
  <variableKey>1</variableKey>
  <stubKey>89671</stubKey>
<selections>
<its>
<Item>
<id>
  <id>89683</id>
  </id>
  <variant>2</variant>
  </Item>
  </its>
  </selections>
  <aggregator>None</aggregator>
<parametrizedDimensions>
<its>
<Item>
  <dimension>0</dimension>
  <parameter>0</parameter>
  </Item>
  </its>
  </parametrizedDimensions>
<unitInfo>
  <unit>4294967295</unit>
  <measure>4294967295</measure>
  <baseUnit>4294967295</baseUnit>
  <unitsDimensionKey>0</unitsDimensionKey>
  </unitInfo>
  <level>Year</level>
  </Item>
  </its>
  </slices>
  <variableStubKey>89671</variableStubKey>
  <parameterID />
  <kind>Stub</kind>
  <attributeId />
  <attributeType>Series</attributeType>
  </Item>
  </its>
  </outputs>
  <formulaCount>1</formulaCount>
<formulas>
<its>
<it>
  <k>0</k>
  <kind>CurveEstimation</kind>
<method>
<curveEstimation>
  <criterion>R2</criterion>
  <dependenceForm>Linear</dependenceForm>
<dependenceFormIncluded>
  <it>Linear</it>
  <it>Polynomial</it>
  <it>Logarithmic</it>
  </dependenceFormIncluded>
  <polynomOrder>4</polynomOrder>
<seasonalComponent>
  <mode>Additive</mode>
  <cycle>4</cycle>
  </seasonalComponent>
<missingData>
  <specifiedVector />
  <method>Casewise</method>
  <methodParameter>5</methodParameter>
  <specifiedValue>0</specifiedValue>
<specifiedTerm>
  <k>4294967295</k>
  </specifiedTerm>
  </missingData>
  <confidenceLevel>0.96</confidenceLevel>
  <bestDependenceForm>Polynomial</bestDependenceForm>
  <value>0</value>
<explained>
<slice>
  <k>0</k>
  <id>MyOutputVavable|A</id>
  <n>MyOutputVavable|A</n>
  <vis>1</vis>
  <variableKey>1</variableKey>
  <stubKey>89671</stubKey>
<selections>
<its>
<Item>
<id>
  <id>89683</id>
  </id>
  <variant>2</variant>
  </Item>
  </its>
  </selections>
  <aggregator>None</aggregator>
<parametrizedDimensions>
<its>
<Item>
  <dimension>0</dimension>
  <parameter>0</parameter>
  </Item>
  </its>
  </parametrizedDimensions>
<unitInfo>
  <unit>4294967295</unit>
  <measure>4294967295</measure>
  <baseUnit>4294967295</baseUnit>
  <unitsDimensionKey>0</unitsDimensionKey>
  </unitInfo>
  <level>Year</level>
  </slice>
  <lag />
  <key>0</key>
  <termToText>{MyOutputVavable|A[t]}</termToText>
  <termToInnerText>@_1:0[]</termToInnerText>
<termInfo>
  <k>4294967295</k>
  <lag>0</lag>
<inversion>
  <type>None</type>
  <lag>PrecidingValue</lag>
  <previousLag>-1</previousLag>
  <seasonality>None</seasonality>
  <dependence>Linear</dependence>
  <K>3</K>
  </inversion>
<slice>
  <k>0</k>
  <id>MyOutputVavable|A</id>
  <n>MyOutputVavable|A</n>
  <vis>1</vis>
  <variableKey>1</variableKey>
  <stubKey>89671</stubKey>
<selections>
<its>
<Item>
<id>
  <id>89683</id>
  </id>
  <variant>2</variant>
  </Item>
  </its>
  </selections>
  <aggregator>None</aggregator>
<parametrizedDimensions>
<its>
<Item>
  <dimension>0</dimension>
  <parameter>0</parameter>
  </Item>
  </its>
  </parametrizedDimensions>
<unitInfo>
  <unit>4294967295</unit>
  <measure>4294967295</measure>
  <baseUnit>4294967295</baseUnit>
  <unitsDimensionKey>0</unitsDimensionKey>
  </unitInfo>
  <level>Year</level>
  </slice>
  <date>1899-12-30</date>
  </termInfo>
<unitInfo>
  <unit>4294967295</unit>
  <measure>4294967295</measure>
  <baseUnit>4294967295</baseUnit>
  <unitsDimensionKey>0</unitsDimensionKey>
  </unitInfo>
  <included>0</included>
  </explained>
<dependenceForms>
<its>
<Item>
  <dependenceForm>Linear</dependenceForm>
  <expression>A1*t + A0</expression>
<statCoefficients>
<intercept>
  <mode>AutoEstimate</mode>
  <estimate>-0.4928571428571348</estimate>
  <standardError>0.2910409353847357</standardError>
  <tStatistic>-1.693428940522103</tStatistic>
  <probability>0.1018820994993999</probability>
  </intercept>
<coefficients>
<estimate>
  <d>1.598351648351648</d>
  </estimate>
<standardError>
  <d>0.01498937077595134</d>
  </standardError>
<tStatistic>
  <d>106.6323378240808</d>
  </tStatistic>
<probability>
  <d>0</d>
  </probability>
  </coefficients>
  </statCoefficients>
  <criterionValue>0.9981691131922996</criterionValue>
<summaryStatistics>
  <stR2>0.9981691131922996</stR2>
  <stAdjR2>0.9980928262419788</stAdjR2>
  <stR2_2>0.9981691131922996</stR2_2>
  <stAdjR2_2>0.9980928262419788</stAdjR2_2>
  <stSE>0.5350176585813732</stSE>
  <stSSR>6.869853479853474</stSSR>
  <stLogL>-19.59000298921173</stLogL>
  <stDW>3.366608997117618</stDW>
  <stDWLowerBound>5.226173552036746e-05</stDWLowerBound>
  <stDWUpperBound>6.112166540301281e-06</stDWUpperBound>
  <stSD>12.25104077211402</stSD>
  <stAIC>1.660769460708595</stAIC>
  <stSC>1.757546117479478</stSC>
  <stFstat_2>13084.40184060549</stFstat_2>
  <stProbFstat_2>0</stProbFstat_2>
  <stFstat>13084.40184060549</stFstat>
  <stProbFstat>0</stProbFstat>
  <stME>-3.552713678800501e-15</stME>
  <stMAE>0.31025641025641</stMAE>
  <stMSE>0.2642251338405183</stMSE>
  <stMaxAE>1.933150183150188</stMaxAE>
  <stSqMSE>0.5140283395305343</stSqMSE>
  <stVE>0.2642251338405183</stVE>
  <stSEE>0.5140283395305344</stSEE>
  <stMD>21.1</stMD>
  <stHQcriterion>1.688637636217742</stHQcriterion>
  <stAvgLogL>NaN</stAvgLogL>
  <stMcFaddenRsquared>NaN</stMcFaddenRsquared>
  <stRestrLogL>NaN</stRestrLogL>
  <stLRstatistic>NaN</stLRstatistic>
  <stLRprobability>NaN</stLRprobability>
  <stIncludedObservations>26</stIncludedObservations>
  <stJstat>NaN</stJstat>
  <stProbJstat>NaN</stProbJstat>
  <stNumOfIter>-1</stNumOfIter>
  <stJBStat>46.45284363973704</stJBStat>
  <stProbJBStat>8.182632349473806e-11</stProbJBStat>
  </summaryStatistics>
  <errors />
  </Item>
<Item>
  <dependenceForm>Polynomial</dependenceForm>
  <expression>An*t^n + ... + A2*t^2 + A1*t + A0</expression>
<statCoefficients>
<intercept>
  <mode>AutoEstimate</mode>
  <estimate>-0.465181344869594</estimate>
  <standardError>0.7871206378330464</standardError>
  <tStatistic>-0.590991167694757</tStatistic>
  <probability>0.5594417347097805</probability>
  </intercept>
<coefficients>
<estimate>
  <d>1.582420928890241</d>
  <d>0.001388551345301276</d>
  <d>-4.994188660429374e-06</d>
  <d>-1.199216706196811e-06</d>
  </estimate>
<standardError>
  <d>0.392724727858397</d>
  <d>0.05749696262512111</d>
  <d>0.003169750766421726</d>
  <d>5.829715944935267e-05</d>
  </standardError>
<tStatistic>
  <d>4.029338660489969</d>
  <d>0.02414999474588944</d>
  <d>-0.001575577712082147</d>
  <d>-0.02057075709218157</d>
  </tStatistic>
<probability>
  <d>0.0007867132522725306</d>
  <d>0.9809986801874817</d>
  <d>0.9987602020207836</d>
  <d>0.9838143840419024</d>
  </probability>
  </coefficients>
  </statCoefficients>
  <criterionValue>0.9981742366165919</criterionValue>
<summaryStatistics>
  <stR2>0.9981742366165919</stR2>
  <stAdjR2>0.9978264721626093</stAdjR2>
  <stR2_2>0.9981742366165919</stR2_2>
  <stAdjR2_2>0.9978264721626093</stAdjR2_2>
  <stSE>0.5711571115361268</stSE>
  <stSSR>6.850629367224124</stSSR>
  <stLogL>-19.55357371328806</stLogL>
  <stDW>3.374546243247101</stDW>
  <stDWLowerBound>0.000686446402999863</stDWLowerBound>
  <stDWUpperBound>3.749894734120952e-09</stDWUpperBound>
  <stSD>12.25104077211402</stSD>
  <stAIC>1.888736439483697</stAIC>
  <stSC>2.130678081410905</stSC>
  <stFstat_2>2870.259525336149</stFstat_2>
  <stProbFstat_2>0</stProbFstat_2>
  <stFstat>2870.259525336149</stFstat>
  <stProbFstat>0</stProbFstat>
  <stME>-1.084602493287653e-15</stME>
  <stMAE>0.3119376087872172</stMAE>
  <stMSE>0.2634857448932355</stMSE>
  <stMaxAE>1.920839385280324</stMaxAE>
  <stSqMSE>0.5133086253836336</stSqMSE>
  <stVE>0.2634857448932355</stVE>
  <stSEE>0.5133086253836336</stSEE>
  <stMD>21.1</stMD>
  <stHQcriterion>1.958406878256565</stHQcriterion>
  <stAvgLogL>NaN</stAvgLogL>
  <stMcFaddenRsquared>NaN</stMcFaddenRsquared>
  <stRestrLogL>NaN</stRestrLogL>
  <stLRstatistic>NaN</stLRstatistic>
  <stLRprobability>NaN</stLRprobability>
  <stIncludedObservations>26</stIncludedObservations>
  <stJstat>NaN</stJstat>
  <stProbJstat>NaN</stProbJstat>
  <stNumOfIter>-1</stNumOfIter>
  <stJBStat>44.27599282059314</stJBStat>
  <stProbJBStat>2.429910717083317e-10</stProbJBStat>
  </summaryStatistics>
  <errors />
  </Item>
<Item>
  <dependenceForm>Logarithmic</dependenceForm>
  <expression>A1*ln(t) + A0</expression>
<statCoefficients>
<intercept>
  <mode>AutoEstimate</mode>
  <estimate>-9.757959888305843</estimate>
  <standardError>3.272527297090876</standardError>
  <tStatistic>-2.981781052515655</tStatistic>
  <probability>0.006007865777448607</probability>
  </intercept>
<coefficients>
<estimate>
  <d>13.5959840407783</d>
  </estimate>
<standardError>
  <d>1.206750999298278</d>
  </standardError>
<tStatistic>
  <d>11.26660267833573</d>
  </tStatistic>
<probability>
  <d>1.035826979745025e-11</d>
  </probability>
  </coefficients>
  </statCoefficients>
  <criterionValue>0.8590172900274078</criterionValue>
<summaryStatistics>
  <stR2>0.8590172900274078</stR2>
  <stAdjR2>0.8531430104452165</stAdjR2>
  <stR2_2>0.8590172900274078</stR2_2>
  <stAdjR2_2>0.8531430104452165</stAdjR2_2>
  <stSE>4.694834592219236</stSE>
  <stSSR>528.9953243591607</stSSR>
  <stLogL>-76.05988158036546</stLogL>
  <stDW>0.2565964910183629</stDW>
  <stDWLowerBound>1.273053136754938e-09</stDWLowerBound>
  <stDWUpperBound>2.323162006230125e-11</stDWUpperBound>
  <stSD>12.25104077211402</stSD>
  <stAIC>6.004606275412727</stAIC>
  <stSC>6.10138293218361</stSC>
  <stFstat_2>146.2336407398165</stFstat_2>
  <stProbFstat_2>1.065614263495718e-11</stProbFstat_2>
  <stFstat>146.2336407398165</stFstat>
  <stProbFstat>1.065614263495718e-11</stProbFstat>
  <stME>-3.962642180200559e-15</stME>
  <stMAE>3.81749483888947</stMAE>
  <stMSE>20.34597401381387</stMSE>
  <stMaxAE>10.75795988830584</stMaxAE>
  <stSqMSE>4.510651174033953</stSqMSE>
  <stVE>20.34597401381387</stVE>
  <stSEE>4.510651174033953</stSEE>
  <stMD>21.1</stMD>
  <stHQcriterion>6.032474450921874</stHQcriterion>
  <stAvgLogL>NaN</stAvgLogL>
  <stMcFaddenRsquared>NaN</stMcFaddenRsquared>
  <stRestrLogL>NaN</stRestrLogL>
  <stLRstatistic>NaN</stLRstatistic>
  <stLRprobability>NaN</stLRprobability>
  <stIncludedObservations>26</stIncludedObservations>
  <stJstat>NaN</stJstat>
  <stProbJstat>NaN</stProbJstat>
  <stNumOfIter>-1</stNumOfIter>
  <stJBStat>1.964796154276888</stJBStat>
  <stProbJBStat>0.374412152187965</stProbJBStat>
  </summaryStatistics>
  <errors />
  </Item>
  </its>
  </dependenceForms>
  </curveEstimation>
<summaryStatistics>
  <stR2>0.9981742366165919</stR2>
  <stAdjR2>0.9978264721626093</stAdjR2>
  <stR2_2>0.9981742366165919</stR2_2>
  <stAdjR2_2>0.9978264721626093</stAdjR2_2>
  <stSE>0.5711571115361268</stSE>
  <stSSR>6.850629367224124</stSSR>
  <stLogL>-19.55357371328806</stLogL>
  <stDW>3.374546243247101</stDW>
  <stDWLowerBound>0.000686446402999863</stDWLowerBound>
  <stDWUpperBound>3.749894734120952e-09</stDWUpperBound>
  <stSD>12.25104077211402</stSD>
  <stAIC>1.888736439483697</stAIC>
  <stSC>2.130678081410905</stSC>
  <stFstat_2>2870.259525336149</stFstat_2>
  <stProbFstat_2>0</stProbFstat_2>
  <stFstat>2870.259525336149</stFstat>
  <stProbFstat>0</stProbFstat>
  <stME>-1.084602493287653e-15</stME>
  <stMAE>0.3119376087872172</stMAE>
  <stMSE>0.2634857448932355</stMSE>
  <stMaxAE>1.920839385280324</stMaxAE>
  <stSqMSE>0.5133086253836336</stSqMSE>
  <stVE>0.2634857448932355</stVE>
  <stSEE>0.5133086253836336</stSEE>
  <stMD>21.1</stMD>
  <stHQcriterion>1.958406878256565</stHQcriterion>
  <stAvgLogL>NaN</stAvgLogL>
  <stMcFaddenRsquared>NaN</stMcFaddenRsquared>
  <stRestrLogL>NaN</stRestrLogL>
  <stLRstatistic>NaN</stLRstatistic>
  <stLRprobability>NaN</stLRprobability>
  <stIncludedObservations>26</stIncludedObservations>
  <stJstat>NaN</stJstat>
  <stProbJstat>NaN</stProbJstat>
  <stNumOfIter>-1</stNumOfIter>
  <stJBStat>44.27599282059314</stJBStat>
  <stProbJBStat>2.429910717083317e-10</stProbJBStat>
  </summaryStatistics>
  <name>An*t^n + ... + A2*t^2 + A1*t + A0</name>
<series>
<input>
  <k>4294967295</k>
  <lag>0</lag>
<inversion>
  <type>None</type>
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                                           "stHQcriterion" : "1.688637636217742",
                                           "stAvgLogL" : "NaN",
                                           "stMcFaddenRsquared" : "NaN",
                                           "stRestrLogL" : "NaN",
                                           "stLRstatistic" : "NaN",
                                           "stLRprobability" : "NaN",
                                           "stIncludedObservations" : "26",
                                           "stJstat" : "NaN",
                                           "stProbJstat" : "NaN",
                                           "stNumOfIter" : "-1",
                                           "stJBStat" : "46.45284363973704",
                                           "stProbJBStat" : "8.182632349473806e-11"
                                          },
                                         "errors" : ""
                                        },
                                        {
                                         "dependenceForm" : "Polynomial",
                                         "expression" : "An*t^n + ... + A2*t^2 + A1*t + A0",
                                         "statCoefficients" : 
                                          {
                                           "intercept" : 
                                            {
                                             "mode" : "AutoEstimate",
                                             "estimate" : "-0.465181344869594",
                                             "standardError" : "0.7871206378330464",
                                             "tStatistic" : "-0.590991167694757",
                                             "probability" : "0.5594417347097805"
                                            },
                                           "coefficients" : 
                                            {
                                             "estimate" : 
                                              {
                                               "d" : 
                                                [
                                                  "1.582420928890241",
                                                  "0.001388551345301276",
                                                  "-4.994188660429374e-06",
                                                  "-1.199216706196811e-06"
                                                ]
                                              },
                                             "standardError" : 
                                              {
                                               "d" : 
                                                [
                                                  "0.392724727858397",
                                                  "0.05749696262512111",
                                                  "0.003169750766421726",
                                                  "5.829715944935267e-05"
                                                ]
                                              },
                                             "tStatistic" : 
                                              {
                                               "d" : 
                                                [
                                                  "4.029338660489969",
                                                  "0.02414999474588944",
                                                  "-0.001575577712082147",
                                                  "-0.02057075709218157"
                                                ]
                                              },
                                             "probability" : 
                                              {
                                               "d" : 
                                                [
                                                  "0.0007867132522725306",
                                                  "0.9809986801874817",
                                                  "0.9987602020207836",
                                                  "0.9838143840419024"
                                                ]
                                              }
                                            }
                                          },
                                         "criterionValue" : "0.9981742366165919",
                                         "summaryStatistics" : 
                                          {
                                           "stR2" : "0.9981742366165919",
                                           "stAdjR2" : "0.9978264721626093",
                                           "stR2_2" : "0.9981742366165919",
                                           "stAdjR2_2" : "0.9978264721626093",
                                           "stSE" : "0.5711571115361268",
                                           "stSSR" : "6.850629367224124",
                                           "stLogL" : "-19.55357371328806",
                                           "stDW" : "3.374546243247101",
                                           "stDWLowerBound" : "0.000686446402999863",
                                           "stDWUpperBound" : "3.749894734120952e-09",
                                           "stSD" : "12.25104077211402",
                                           "stAIC" : "1.888736439483697",
                                           "stSC" : "2.130678081410905",
                                           "stFstat_2" : "2870.259525336149",
                                           "stProbFstat_2" : "0",
                                           "stFstat" : "2870.259525336149",
                                           "stProbFstat" : "0",
                                           "stME" : "-1.084602493287653e-15",
                                           "stMAE" : "0.3119376087872172",
                                           "stMSE" : "0.2634857448932355",
                                           "stMaxAE" : "1.920839385280324",
                                           "stSqMSE" : "0.5133086253836336",
                                           "stVE" : "0.2634857448932355",
                                           "stSEE" : "0.5133086253836336",
                                           "stMD" : "21.1",
                                           "stHQcriterion" : "1.958406878256565",
                                           "stAvgLogL" : "NaN",
                                           "stMcFaddenRsquared" : "NaN",
                                           "stRestrLogL" : "NaN",
                                           "stLRstatistic" : "NaN",
                                           "stLRprobability" : "NaN",
                                           "stIncludedObservations" : "26",
                                           "stJstat" : "NaN",
                                           "stProbJstat" : "NaN",
                                           "stNumOfIter" : "-1",
                                           "stJBStat" : "44.27599282059314",
                                           "stProbJBStat" : "2.429910717083317e-10"
                                          },
                                         "errors" : ""
                                        },
                                        {
                                         "dependenceForm" : "Logarithmic",
                                         "expression" : "A1*ln(t) + A0",
                                         "statCoefficients" : 
                                          {
                                           "intercept" : 
                                            {
                                             "mode" : "AutoEstimate",
                                             "estimate" : "-9.757959888305843",
                                             "standardError" : "3.272527297090876",
                                             "tStatistic" : "-2.981781052515655",
                                             "probability" : "0.006007865777448607"
                                            },
                                           "coefficients" : 
                                            {
                                             "estimate" : 
                                              {
                                               "d" : "13.5959840407783"
                                              },
                                             "standardError" : 
                                              {
                                               "d" : "1.206750999298278"
                                              },
                                             "tStatistic" : 
                                              {
                                               "d" : "11.26660267833573"
                                              },
                                             "probability" : 
                                              {
                                               "d" : "1.035826979745025e-11"
                                              }
                                            }
                                          },
                                         "criterionValue" : "0.8590172900274078",
                                         "summaryStatistics" : 
                                          {
                                           "stR2" : "0.8590172900274078",
                                           "stAdjR2" : "0.8531430104452165",
                                           "stR2_2" : "0.8590172900274078",
                                           "stAdjR2_2" : "0.8531430104452165",
                                           "stSE" : "4.694834592219236",
                                           "stSSR" : "528.9953243591607",
                                           "stLogL" : "-76.05988158036546",
                                           "stDW" : "0.2565964910183629",
                                           "stDWLowerBound" : "1.273053136754938e-09",
                                           "stDWUpperBound" : "2.323162006230125e-11",
                                           "stSD" : "12.25104077211402",
                                           "stAIC" : "6.004606275412727",
                                           "stSC" : "6.10138293218361",
                                           "stFstat_2" : "146.2336407398165",
                                           "stProbFstat_2" : "1.065614263495718e-11",
                                           "stFstat" : "146.2336407398165",
                                           "stProbFstat" : "1.065614263495718e-11",
                                           "stME" : "-3.962642180200559e-15",
                                           "stMAE" : "3.81749483888947",
                                           "stMSE" : "20.34597401381387",
                                           "stMaxAE" : "10.75795988830584",
                                           "stSqMSE" : "4.510651174033953",
                                           "stVE" : "20.34597401381387",
                                           "stSEE" : "4.510651174033953",
                                           "stMD" : "21.1",
                                           "stHQcriterion" : "6.032474450921874",
                                           "stAvgLogL" : "NaN",
                                           "stMcFaddenRsquared" : "NaN",
                                           "stRestrLogL" : "NaN",
                                           "stLRstatistic" : "NaN",
                                           "stLRprobability" : "NaN",
                                           "stIncludedObservations" : "26",
                                           "stJstat" : "NaN",
                                           "stProbJstat" : "NaN",
                                           "stNumOfIter" : "-1",
                                           "stJBStat" : "1.964796154276888",
                                           "stProbJBStat" : "0.374412152187965"
                                          },
                                         "errors" : ""
                                        }
                                      ]
                                    }
                                  }
                                },
                               "summaryStatistics" : 
                                {
                                 "stR2" : "0.9981742366165919",
                                 "stAdjR2" : "0.9978264721626093",
                                 "stR2_2" : "0.9981742366165919",
                                 "stAdjR2_2" : "0.9978264721626093",
                                 "stSE" : "0.5711571115361268",
                                 "stSSR" : "6.850629367224124",
                                 "stLogL" : "-19.55357371328806",
                                 "stDW" : "3.374546243247101",
                                 "stDWLowerBound" : "0.000686446402999863",
                                 "stDWUpperBound" : "3.749894734120952e-09",
                                 "stSD" : "12.25104077211402",
                                 "stAIC" : "1.888736439483697",
                                 "stSC" : "2.130678081410905",
                                 "stFstat_2" : "2870.259525336149",
                                 "stProbFstat_2" : "0",
                                 "stFstat" : "2870.259525336149",
                                 "stProbFstat" : "0",
                                 "stME" : "-1.084602493287653e-15",
                                 "stMAE" : "0.3119376087872172",
                                 "stMSE" : "0.2634857448932355",
                                 "stMaxAE" : "1.920839385280324",
                                 "stSqMSE" : "0.5133086253836336",
                                 "stVE" : "0.2634857448932355",
                                 "stSEE" : "0.5133086253836336",
                                 "stMD" : "21.1",
                                 "stHQcriterion" : "1.958406878256565",
                                 "stAvgLogL" : "NaN",
                                 "stMcFaddenRsquared" : "NaN",
                                 "stRestrLogL" : "NaN",
                                 "stLRstatistic" : "NaN",
                                 "stLRprobability" : "NaN",
                                 "stIncludedObservations" : "26",
                                 "stJstat" : "NaN",
                                 "stProbJstat" : "NaN",
                                 "stNumOfIter" : "-1",
                                 "stJBStat" : "44.27599282059314",
                                 "stProbJBStat" : "2.429910717083317e-10"
                                },
                               "name" : "An*t^n + ... + A2*t^2 + A1*t + A0",
                               "series" : 
                                {
                                 "input" : 
                                  {
                                   "k" : "4294967295",
                                   "lag" : "0",
                                   "inversion" : 
                                    {
                                     "type" : "None",
                                     "lag" : "PrecidingValue",
                                     "previousLag" : "-1",
                                     "seasonality" : "None",
                                     "dependence" : "Linear",
                                     "K" : "3"
                                    },
                                   "slice" : 
                                    {
                                     "k" : "0",
                                     "id" : "1",
                                     "n" : "MyInputVavable",
                                     "vis" : "1",
                                     "variableKey" : "2",
                                     "stubKey" : "89671",
                                     "selections" : 
                                      {
                                       "its" : 
                                        {
                                         "Item" : 
                                          {
                                           "id" : 
                                            {
                                             "id" : "89683"
                                            },
                                           "variant" : "1"
                                          }
                                        }
                                      },
                                     "aggregator" : "None",
                                     "parametrizedDimensions" : 
                                      {
                                       "its" : 
                                        {
                                         "Item" : 
                                          {
                                           "dimension" : "0",
                                           "parameter" : "0"
                                          }
                                        }
                                      },
                                     "unitInfo" : 
                                      {
                                       "unit" : "4294967295",
                                       "measure" : "4294967295",
                                       "baseUnit" : "4294967295",
                                       "unitsDimensionKey" : "0"
                                      },
                                     "level" : "Year"
                                    },
                                   "date" : "1899-12-30"
                                  },
                                 "addFactor" : 
                                  {
                                   "k" : "4294967295"
                                  }
                                },
                               "evaluateSeries" : 
                                {
                                 "its" : 
                                  {
                                   "Item" : 
                                    {
                                     "scenarioKey" : "4294967295",
                                     "fact" : 
                                      {
                                       "d" : 
                                        [
                                          "1",
                                          "4",
                                          "2",
                                          "7",
                                          "7.5",
                                          "9.1",
                                          "10.7",
                                          "12.3",
                                          "13.9",
                                          "15.5",
                                          "17.1",
                                          "18.7",
                                          "20.3",
                                          "21.9",
                                          "23.5",
                                          "25.1",
                                          "26.7",
                                          "28.3",
                                          "29.9",
                                          "31.5",
                                          "33.1",
                                          "34.7",
                                          "36.3",
                                          "37.9",
                                          "39.5",
                                          "41.1",
                                          "NaN",
                                          "NaN",
                                          "NaN"
                                        ]
                                      },
                                     "modelling" : 
                                      {
                                       "d" : 
                                        [
                                          "1.118621941960582",
                                          "2.913186226971609",
                                          "3.920839385280324",
                                          "6.083655743685077",
                                          "7.480263299190218",
                                          "9.284729796956913",
                                          "10.30170480827827",
                                          "12.47314753514884",
                                          "13.87757084976917",
                                          "15.68892737249664",
                                          "16.71175154982057",
                                          "18.8878874589317",
                                          "20.2957328472268",
                                          "22.10912521025945",
                                          "23.13248386971516",
                                          "25.30753777798089",
                                          "26.71256955764962",
                                          "28.52130157947111",
                                          "29.53803804032711",
                                          "31.70439276780075",
                                          "33.09853325968123",
                                          "34.89406676191454",
                                          "35.89518234657857",
                                          "38.04337871645274",
                                          "39.4167082445224",
                                          "41.18866305192973",
                                          "NaN",
                                          "NaN",
                                          "NaN"
                                        ]
                                      },
                                     "residuals" : 
                                      {
                                       "d" : 
                                        [
                                          "-0.1186219419605818",
                                          "1.086813773028391",
                                          "-1.920839385280324",
                                          "0.9163442563149227",
                                          "0.01973670080978174",
                                          "-0.1847297969569137",
                                          "0.398295191721731",
                                          "-0.1731475351488356",
                                          "0.02242915023083114",
                                          "-0.1889273724966447",
                                          "0.3882484501794323",
                                          "-0.187887458931705",
                                          "0.004267152773199001",
                                          "-0.2091252102594545",
                                          "0.3675161302848373",
                                          "-0.2075377779808925",
                                          "-0.01256955764961987",
                                          "-0.2213015794711097",
                                          "0.3619619596728931",
                                          "-0.2043927678007549",
                                          "0.0014667403187687",
                                          "-0.1940667619145344",
                                          "0.404817653421425",
                                          "-0.1433787164527374",
                                          "0.08329175547759604",
                                          "-0.08866305192972845",
                                          "NaN",
                                          "NaN",
                                          "NaN"
                                        ]
                                      },
                                     "input" : 
                                      {
                                       "d" : 
                                        [
                                          "3",
                                          "7",
                                          "2",
                                          "6",
                                          "4",
                                          "1",
                                          "5",
                                          "3.42857143",
                                          "3.28571429",
                                          "3.14285714",
                                          "3",
                                          "2.85714286",
                                          "2.71428571",
                                          "2.57142857",
                                          "2.42857143",
                                          "2.28571429",
                                          "2.14285714",
                                          "2",
                                          "1.85714286",
                                          "1.71428571",
                                          "1.57142857",
                                          "1.42857143",
                                          "1.28571429",
                                          "1.14285714",
                                          "1",
                                          "0.85714286",
                                          "0.71428571",
                                          "0.57142857",
                                          "NaN",
                                          "NaN",
                                          "NaN"
                                        ]
                                      },
                                     "factors" : 
                                      {
                                       "its" : ""
                                      }
                                    }
                                  },
                                 "dates" : 
                                  {
                                   "it" : 
                                    [
                                      "1990A1",
                                      "1991A1",
                                      "1992A1",
                                      "1993A1",
                                      "1994A1",
                                      "1995A1",
                                      "1996A1",
                                      "1997A1",
                                      "1998A1",
                                      "1999A1",
                                      "2000A1",
                                      "2001A1",
                                      "2002A1",
                                      "2003A1",
                                      "2004A1",
                                      "2005A1",
                                      "2006A1",
                                      "2007A1",
                                      "2008A1",
                                      "2009A1",
                                      "2010A1",
                                      "2011A1",
                                      "2012A1",
                                      "2013A1",
                                      "2014A1",
                                      "2015A1",
                                      "2016A1",
                                      "2017A1",
                                      "2018A1",
                                      "2019A1",
                                      "2020A1"
                                    ]
                                  }
                                },
                               "inversionInfo" : 
                                {
                                 "type" : "None",
                                 "lag" : "PrecidingValue",
                                 "previousLag" : "-1",
                                 "seasonality" : "None",
                                 "dependence" : "Linear",
                                 "K" : "3"
                                },
                               "doUseR" : "0",
                               "supportsR" : "0"
                              },
                             "calendarLevel" : "Year",
                             "outputSliceKey" : "0"
                            }
                          ]
                        }
                      },
                     "displayId" : "0",
                     "series" : 
                      {
                       "its" : ""
                      },
                     "kind" : "Simple",
                     "displaySettings" : 
                      {
                       "displayTermsAs" : "Derive"
                      },
                     "additionalAttributes" : "",
                     "calculationType" : "Serie",
                     "calculationDirection" : "Forward"
                    },
                   "stochastic" : "0",
                   "calculationPeriod" : "Forecast",
                   "useModelPeriod" : "1",
                   "useExistingData" : "0",
                   "treatNullsAsZeros" : "0",
                   "autoName" : "1",
                   "period" : 
                    {
                     "identificationStartDate" : "1990-01-01",
                     "identificationEndDate" : "2018-04-24",
                     "forecastStartDate" : "2018-04-25",
                     "forecastEndDate" : "2020-01-01",
                     "identificationStartDateParamID" : "",
                     "identificationEndDateParamID" : "",
                     "forecastStartDateParamID" : "",
                     "forecastEndDateParamID" : "",
                     "autoPeriod" : "28672",
                     "identificationStartOffset" : "0",
                     "identificationEndOffset" : "0",
                     "forecastEndOffset" : "0",
                     "isIdentStartCorrect" : "1",
                     "isIdentEndCorrect" : "1",
                     "isForecastEndCorrect" : "1"
                    },
                   "isExclusive" : "1",
                   "useAutoPeriod" : "1",
                   "generatedName" : "MyOutputVavable|A[t] = An*t^n + ... + A2*t^2 + A1*t + A0",
                   "warnings" : "",
                   "readOnly" : "0"
                  }
                }
              }
            },
           "visualController" : 
            {
             "userRPath" : "",
             "isRExist" : "0"
            },
           "suppressEmptyFilter" : 
            {
             "suppressEmpty" : "0",
             "suppressEmptyArea" : "SerieBounds"
            },
           "readOnly" : "0",
           "variableTestUseR" : "0",
           "calculateIdentOnFact" : "0"
          },
         "useScenarios" : "0",
         "readOnly" : "0"
        }
      }
    }
  }
}
public static MsCalculationChainEntry GetMsCurveEstimation(MsId ms, ulong modelKey, ulong eqKey)
{
    var getMsOp = new GetMs();
    // Set operation execution parameters
    getMsOp.tMs = ms;
    getMsOp.tArg = new GetMsArg()
    {  // Set data getting pattern
        pattern = new MsMdPattern()
        {            
            item = new MsItemPattern()
            {  // Specify calculated equation key
                key = modelKey,
                problem = new MsProblemPattern()
                {
                    metamodel = new MsMetaModelPattern()
                    {
                        calculationChain = ListOperation.Get,
                        calcChainPattern = new MsCalculationChainPattern()
                        {
                            entryKeys = new long[] { (long)eqKey },
                            modelPattern = new MsModelPattern()
                            {
                                autoName = true,
                                calculationPeriod = true,
                                generatedName = true,
                                isExclusive = true,
                                period = true,
                                stochastic = true,
                                treatNullsAsZeros = true,
                                useAutoPeriod = true,
                                useExistingData = true,
                                useModelPeriod = true,
                                transform = new MsFormulaTransformPattern()
                                {
                                    additionalAttributes = true,
                                    calculationDirection = true,
                                    calculationType = true,
                                    displayId = true,
                                    displaySettings = true,
                                    formulaCount = true,
                                    outputs = ListOperation.Get,
                                    series = ListOperation.Get,
                                    kind = true,
                                    formulas = new TsFormulaPattern()
                                    {
                                        method = new TsMethodPattern()
                                        {
                                            series = true
                                        }
                                    },                                    
                                    equationsFormula = new TsFormulaPattern()
                                    {
                                        method = new TsMethodPattern() { }
                                    },
                                    transformVariable = new MsFormulaTransformVariablePattern()
                                    {
                                        slices = ListOperation.Get,
                                        transformSlice = new MsFormulaTransformSlicePattern()
                                        {
                                            selection = ListOperation.Get
                                        }
                                    }
                                }
                            }
                        }
                    }
                }
            }
        }, // Set equation calculation parameters
        execParams = new MsMdExecParams()
        {
            k = 0,
            execMethod = true,
            execEvaluateSeries = true,
            execGenerateName = true,
            execSummaryStatistics = true,
            execCoefficients = true,
            execStatCoefficients = true,
            scenarioKeys = new long[] { },
            modelKeys = new long[] { (long)eqKey }
        }
    };
    // Create a proxy object for operation execution
    var somClient = new SomPortTypeClient();
    GetMsResult getMsResult = somClient.GetMs(getMsOp);
    MsMetaModel meta = getMsResult.meta.item.problemMd.metamodel;
    MsCalculationChainEntry chainEntry = meta.calculationChain.its.GetValue(0) as MsCalculationChainEntry;
    // Display errors and warnings
    MsModel eq = chainEntry.model;
            if (eq.warnings.Length != 0)
    {
        Console.WriteLine(&quot;-- Warnings --&quot;);
        Console.WriteLine(&quot;&quot;.PadRight(3) + printArray(eq.warnings));
    }
    if (eq.error == null) //Check if errors occurred on equation calculation
    {   // Equation if calculated without errors 
        // Get calculation results 
        TsFormula formula = eq.transform.formulas.its.GetValue(0) as TsFormula;
        TsCurveEstimationMethod curve = formula.method.curveEstimation;       
        // Display best dependency form
        Console.WriteLine(&quot;Best dependency form: &quot;+curve.bestDependenceForm.Value);
        // Display data on dependency forms
        MsDependenceForms depForms = curve.dependenceForms;
        foreach (MsDependenceForm form in depForms.its)
        {
            Console.WriteLine(&quot;Analyzed dependency form: &quot;+ form.dependenceForm.ToString());
            if (form.errors == &quot;&quot;)
            {
                Console.WriteLine(&quot;Criterion value: &quot;.PadRight(3) + form.criterionValue);
                Console.WriteLine(&quot;Equation: &quot;.PadRight(3) + form.expression);
                // Get summary statistics and display into console window
                StatSummaryStatistics stat = form.summaryStatistics;
                PrintStat(stat);
                // Get coefficient values and display into console window
                StatModelCoefficients coef = form.statCoefficients;
                PrintCoef(coef);
            }
            else // Display errors occurred on dependency autoselection
            { Console.WriteLine(&quot;&quot;.PadRight(3)+form.errors);};
        };
        // Get calculated values and display into console window
        MsEvaluateSeriesResult seriesRes = formula.method.evaluateSeries;
        printSeries(seriesRes);
    }
    else // Errors occurred on equation calculation
    {
        Console.WriteLine(&quot;-- Errors --&quot;);
        Console.WriteLine(eq.error);
    }
    // Return the model that contains equation
    return chainEntry;
}

See also:

GetMs: Operation | Setting Up Parameters of the Extrapolate Method