[{"data":1,"prerenderedAt":293},["ShallowReactive",2],{"/matrix/forecast-linear-growth":3,"/matrix/forecast-linear-growth-surround":282},{"id":4,"title":5,"body":6,"description":248,"extension":249,"meta":250,"navigation":268,"path":278,"seo":279,"stem":280,"__hash__":281},"content/matrix/forecast-linear-growth.md","Matrix Extension Dictionary: forecast-linear-growth",{"type":7,"value":8,"toc":237},"minimark",[9],[10,11,15,16,15,26,47,51,61,86,124,138],"div",{"className":12,"id":14},[13],"dict_entry","forecast-linear-growth","\n  ",[17,18,20,21,15],"h3",{"id":19},"matrixforecast-linear-growth","\n    ",[22,23,25],"a",{"href":24},"#forecast-linear-growth","matrix:forecast-linear-growth",[27,28,32],"h4",{"id":29,"className":30},"matrixforecast-linear-growth-data-list",[31],"section-heading",[22,33,20,37,15],{"className":34,"href":36},[35],"section-anchor","#----matrixforecast-linear-growth-data-list--",[38,39,42,43],"span",{"className":40},[41],"prim_example","matrix:forecast-linear-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],{}," forecast constant slope R",[58,59,60],"sup",{},"2",[48,62,63,64,68,69,71,72,74,75,77,78,81,82,85],{},"The ",[65,66,67],"em",{},"forecast"," is the predicted next value that would\nfollow in the sequence given by the ",[65,70,46],{}," input, based\non a linear trend-line. Normally ",[65,73,46],{}," will contain\nobservations on some variable, Y, from time t = 0 to time t = (n-1)\nwhere n is the number of observations. The ",[65,76,67],{}," is the\npredicted value of Y at t = n. The ",[65,79,80],{},"constant"," and ",[65,83,84],{},"slope","\nare the parameters of the trend-line",[87,88,89],"pre",{},[90,91,92,98,99,98,104,98,108,98,112,98,116,98,120],"code",{},[38,93,97],{"className":94},[95,96],"token","variable","Y"," ",[38,100,103],{"className":101},[95,102],"reporter","=",[38,105,107],{"className":106},[95,96],"*constant*",[38,109,111],{"className":110},[95,102],"+",[38,113,115],{"className":114},[95,96],"*slope*",[38,117,119],{"className":118},[95,102],"*",[38,121,123],{"className":122},[95,96],"t.",[48,125,63,126,131,132,134,135,137],{},[65,127,128,129],{},"R",[58,130,60],{}," value measures the goodness of fit of the\ntrend-line to the data, with an R",[58,133,60],{}," = 1 being a perfect\nfit and an R",[58,136,60],{}," of 0 indicating no discernible trend.\nLinear growth assumes that the variable Y grows by a constant\nabsolute amount each period.",[87,139,140],{},[90,141,142,147,150,98,155,158,159,98,164,98,168,98,172,98,176,98,180,184,185,187,158,191,98,195,98,199,98,203,184,207,209,213,215,219,221,225,227,231,233],{},[38,143,146],{"className":144},[95,145],"comment",";; a linear extrapolation of the next item in the list.",[148,149],"br",{},[38,151,154],{"className":152},[95,153],"command","print",[38,156,25],{"className":157},[95,96]," [",[38,160,163],{"className":161},[95,162],"number","20",[38,165,167],{"className":166},[95,162],"25",[38,169,171],{"className":170},[95,162],"28",[38,173,175],{"className":174},[95,162],"32",[38,177,179],{"className":178},[95,162],"35",[38,181,183],{"className":182},[95,162],"39","]",[148,186],{},[38,188,190],{"className":189},[95,96],"=>",[38,192,194],{"className":193},[95,162],"42.733333333333334",[38,196,198],{"className":197},[95,162],"20.619047619047638",[38,200,202],{"className":201},[95,162],"3.6857142857142824",[38,204,206],{"className":205},[95,162],"0.9953743395474031",[148,208],{},[38,210,212],{"className":211},[95,145],";; These results tell us:",[148,214],{},[38,216,218],{"className":217},[95,145],";; * the next predicted value is roughly 42.7333",[148,220],{},[38,222,224],{"className":223},[95,145],";; * the linear trend line is given by Y = 20.6190 + 3.6857 * t",[148,226],{},[38,228,230],{"className":229},[95,145],";; * Y grows by approximately 3.6857 units each period",[148,232],{},[38,234,236],{"className":235},[95,145],";; * the R^2 value is roughly 0.9954 (a good fit)",{"title":238,"searchDepth":239,"depth":240,"links":241},"",5,3,[242],{"id":19,"depth":240,"text":243,"children":244},"\n    matrix:forecast-linear-growth\n  ",[245],{"id":29,"depth":246,"text":247},4,"\n    matrix:forecast-linear-growth data-list\n  ","Documentation for the forecast-linear-growth primitive.","md",{"source":251,"metadataOutputPath":252,"projectConfig":253,"language":261,"inheritFrom":269,"output":268,"version":254,"layout":270,"dictionaryDisplayName":271,"dictionaryHomeDirectory":272,"indexFileURI":273,"currentItemId":14,"currentItemLabel":25,"primRoot":274,"icon":275,"extensionName":276,"assetsRoot":256},"../../external/extensions/matrix/matrix/forecast-linear-growth.md","content/matrix/forecast-linear-growth.metadata.yaml",{"version":254,"projectRoot":255,"scanRoot":256,"outputRoot":257,"defaults":258,"engine":264,"partials":265,"dedupeIdenticalDiskWrites":268},"7.0.4",".","/home/runner/work/Helio/Helio/external/extensions/matrix","content",{"inheritFrom":259,"language":261,"output":262,"extension":249,"title":263,"version":254},[260],0,"en",false,"NetLogo User Manual","mustache",{"directoryPaths":266,"extensions":267},[255],[264,249],true,[260],"catalog","Matrix Extension Dictionary","/matrix.html","/_index/extensions/matrix.txt","matrix","i-mdi-matrix",{"shortName":274,"fullName":277},"Matrix","/matrix/forecast-linear-growth",{"title":5,"description":248},"matrix/forecast-linear-growth","GDQ8HP3FPbA0jVfuviUGJ1T4Pf98fNGt09skgqY7FnU",[283,288],{"title":284,"path":285,"stem":286,"description":287},"Matrix Extension Dictionary: forecast-continuous-growth","/matrix/forecast-continuous-growth","matrix/forecast-continuous-growth","Documentation for the forecast-continuous-growth primitive.",{"title":289,"path":290,"stem":291,"description":292},"Matrix Extension Dictionary: from-column-list","/matrix/from-column-list","matrix/from-column-list","Documentation for the from-column-list primitive.",1777657876753]