[{"data":1,"prerenderedAt":320},["ShallowReactive",2],{"/matrix/forecast-continuous-growth":3,"/matrix/forecast-continuous-growth-surround":310},{"id":4,"title":5,"body":6,"description":278,"extension":279,"meta":280,"navigation":297,"path":91,"seo":307,"stem":308,"__hash__":309},"content/matrix/forecast-continuous-growth.md","Matrix Extension Dictionary: forecast-continuous-growth",{"type":7,"value":8,"toc":267},"minimark",[9],[10,11,15,16,15,26,47,51,75,76,88,89,96,97,101,102,104,105,107,108,117,136,139,164],"div",{"className":12,"id":14},[13],"dict_entry","forecast-continuous-growth","\n  ",[17,18,20,21,15],"h3",{"id":19},"matrixforecast-continuous-growth","\n    ",[22,23,25],"a",{"href":24},"#forecast-continuous-growth","matrix:forecast-continuous-growth",[27,28,32],"h4",{"id":29,"className":30},"matrixforecast-continuous-growth-data-list",[31],"section-heading",[22,33,20,37,15],{"className":34,"href":36},[35],"section-anchor","#----matrixforecast-continuous-growth-data-list--",[38,39,42,43],"span",{"className":40},[41],"prim_example","matrix:forecast-continuous-growth ",[44,45,46],"i",{},"data-list",[48,49,50],"p",{},"Reports a four-element list of the form:",[52,53,54],"tt",{},[38,55,56,57,56,61,64,65,64,68],{}," ",[58,59,60],"em",{},"forecast",[58,62,63],{},"constant","  ",[58,66,67],{},"growth-rate",[58,69,70,71],{},"R",[72,73,74],"sup",{},"2","\n.\nWhereas \n",[77,78,81],"primitive",{"displayText":79,"permalink":80},"matrix:forecast-compound-growth","/matrix/forecast-compound-growth",[22,82,79],{"className":83,"dataDisplayText":79,"href":80,"rel":85,"target":87,"title":79},[84],"netlogo-wiki-link",[86],"noopener","_self","\n\nassumes discrete time with Y growing by a given proportion each\nfinite period of time (e.g., a month or a year), \n",[77,90,92],{"displayText":25,"permalink":91},"/matrix/forecast-continuous-growth",[22,93,25],{"className":94,"dataDisplayText":25,"href":91,"rel":95,"target":87,"title":25},[84],[86],"\n\nassumes that Y is compounded \n",[98,99,100],"strong",{},"continuously","\n (e.g., each second\nor fraction of a second). The \n",[58,103,63],{},"\n and\n\n",[58,106,67],{},"\n are the parameters of the trend-line\n",[52,109,110,111,113,114],{},"\nY = \n",[58,112,63],{},"\n * e\n",[72,115,116],{},"\n(growth-rate * t)\n",[48,118,119,125,126,132,133,135],{},[77,120,121],{"displayText":25,"permalink":91},[22,122,25],{"className":123,"dataDisplayText":25,"href":91,"rel":124,"target":87,"title":25},[84],[86],"\nis the “calculus” analog of ",[77,127,128],{"displayText":79,"permalink":80},[22,129,79],{"className":130,"dataDisplayText":79,"href":80,"rel":131,"target":87,"title":79},[84],[86],".\nThe two will normally yield similar (but not identical) results, as\nshown in the example below. ",[58,134,67],{}," may, of course, be\nnegative.",[137,138],"blockquote",{},[48,140,141,144,145,153,154,160,161,163],{},[58,142,143],{},"NOTE:"," The continuous growth forecast is achieved by taking\nthe ln of Y. (See ",[77,146,149],{"displayText":147,"permalink":148},"matrix:regress","/matrix/regress",[22,150,147],{"className":151,"dataDisplayText":147,"href":148,"rel":152,"target":87,"title":147},[84],[86],",\nbelow.) Because it is impossible to take the natural log of zero or\na negative number, ",[77,155,156],{"displayText":25,"permalink":91},[22,157,25],{"className":158,"dataDisplayText":25,"href":91,"rel":159,"target":87,"title":25},[84],[86],"\nwill result in an error if it finds a zero or negative number in\n",[58,162,46],{},".",[165,166,167],"pre",{},[168,169,170,176,179,56,184,188,189,56,194,56,198,56,202,56,206,56,210,214,215,217,188,221,56,225,56,229,56,233,214,237,239,243,245,249,251,255,257,261,263],"code",{},[38,171,175],{"className":172},[173,174],"token","comment",";; a continuous growth extrapolation of the next item in the list.",[177,178],"br",{},[38,180,183],{"className":181},[173,182],"command","print",[38,185,25],{"className":186},[173,187],"variable"," [",[38,190,193],{"className":191},[173,192],"number","20",[38,195,197],{"className":196},[173,192],"25",[38,199,201],{"className":200},[173,192],"28",[38,203,205],{"className":204},[173,192],"32",[38,207,209],{"className":208},[173,192],"35",[38,211,213],{"className":212},[173,192],"39","]",[177,216],{},[38,218,220],{"className":219},[173,187],"=>",[38,222,224],{"className":223},[173,192],"45.60964465307146",[38,226,228],{"className":227},[173,192],"21.15254147944863",[38,230,232],{"className":231},[173,192],"0.12805985615332668",[38,234,236],{"className":235},[173,192],"0.9760867518334806",[177,238],{},[38,240,242],{"className":241},[173,174],";; These results tell us:",[177,244],{},[38,246,248],{"className":247},[173,174],";; * the next predicted value is approximately 45.610",[177,250],{},[38,252,254],{"className":253},[173,174],";; * the compound growth trend line is given by Y = 21.1525 * e ^ (0.1281 * t)",[177,256],{},[38,258,260],{"className":259},[173,174],";; * Y grows by approximately 12.81% each period if compounding takes place continuously",[177,262],{},[38,264,266],{"className":265},[173,174],";; * the R^2 value is roughly 0.9761 (a good fit)",{"title":268,"searchDepth":269,"depth":270,"links":271},"",5,3,[272],{"id":19,"depth":270,"text":273,"children":274},"\n    matrix:forecast-continuous-growth\n  ",[275],{"id":29,"depth":276,"text":277},4,"\n    matrix:forecast-continuous-growth data-list\n  ","Documentation for the forecast-continuous-growth primitive.","md",{"source":281,"metadataOutputPath":282,"projectConfig":283,"language":290,"inheritFrom":298,"output":297,"version":284,"layout":299,"dictionaryDisplayName":300,"dictionaryHomeDirectory":301,"indexFileURI":302,"currentItemId":14,"currentItemLabel":25,"primRoot":303,"icon":304,"extensionName":305,"assetsRoot":285},"../../external/extensions/matrix/matrix/forecast-continuous-growth.md","content/matrix/forecast-continuous-growth.metadata.yaml",{"version":284,"projectRoot":163,"scanRoot":285,"outputRoot":286,"defaults":287,"engine":293,"partials":294,"dedupeIdenticalDiskWrites":297},"7.0.4","/home/runner/work/Helio/Helio/external/extensions/matrix","content",{"inheritFrom":288,"language":290,"output":291,"extension":279,"title":292,"version":284},[289],0,"en",false,"NetLogo User Manual","mustache",{"directoryPaths":295,"extensions":296},[163],[293,279],true,[289],"catalog","Matrix Extension Dictionary","/matrix.html","/_index/extensions/matrix.txt","matrix","i-mdi-matrix",{"shortName":303,"fullName":306},"Matrix",{"title":5,"description":278},"matrix/forecast-continuous-growth","8Pf31E3V_vCFYf4bOcW87EJD8-pvJclPux2aYZdsbx8",[311,315],{"title":312,"path":80,"stem":313,"description":314},"Matrix Extension Dictionary: forecast-compound-growth","matrix/forecast-compound-growth","Documentation for the forecast-compound-growth primitive.",{"title":316,"path":317,"stem":318,"description":319},"Matrix Extension Dictionary: forecast-linear-growth","/matrix/forecast-linear-growth","matrix/forecast-linear-growth","Documentation for the forecast-linear-growth primitive.",1777657876718]