ECMT1010 Lecture Notes - Lecture 12: Lincoln Near-Earth Asteroid Research, Analysis Of Variance

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Ieepyepxplananyvariable restaurantbillsexample tip a o 292t o182bill canbeusedtopredictdyforanyax. Thebestfit makesthepredictedthatphysicallyis alliesclosest tothe observednaked the he predicted define yi observedresponsevalueforobservation. 20inputlselectvariables righthandside is information showregression line residual i yi residual ji observed lleftoverregressionlinedoesn"taccountfor the regression line predictedverticaldistancebetweenthem bothx want6minimiseresidualstofit 41498 squaretheresidualsandtheminimisethat n"ifloffimagefheaoso. at ots9uanedaaauaa. 0outputrange ok regression ok inputx range showallregressionoutputcalculationsneeded correlationisundermultiple r minimise lyi ji 2 n minimise. Ilyafixed bolbi unknown ly b b x usestatkeyiexceltofindboandb. Makegraphrelicktrendline displayequationonchart willshowinform ofyarn b tone variablesvariables toget in onlyusearegressionlinetopredictover. If therangeofx theintercepthasnomeaningfulinterpretation ifnoneofthex valvesarecloseto0then onlyuse a regressionline whentheassociationbetwee x andy is approximatelylinear. Bewareoftheinfluenceofoutlierobservations x andy regressionmayindicatealinearregressionbutthis doesnotmean thatchanges in x causeschangesiny. Whatanthpopulationtession thepopulationtrue regression is y get d and truepopintercept pop. dope usethesamplertoestimate randomerror population regression ny botb x hence bo andb are population parameters bo andbiaresamplestatistics1estimates. Ciis intercept do i txt se slope b i t xse. Bootstrap or randomization formulas embeddedinregressionsoftware hypothesistestsidf n 2 too null and t bn correlation suppose youwanttotestforlinearassociationbetween 2 variables wecanusecorrelation.

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