steps in regression analysis pdf

ZpehE;+d:"eMST9j:)hkbd<6@AGYF5X2)Yl4">qdJI_/IPQpi[n)UCJ=]\Nq5W\87ku;1qfWrEq '08 MYfLZV.Wfi4Iqh^&o;-7g8+2XBTIOr"Y#\.MUftW"Pj\<7UkSKTS=d,`d,WW Introduction. "*\iC1gE'N0]8"DiMb8;ed]s&"Xb!3_%%5#?L_ D/)ml-Y[e8h?e1_#kX]_KZs,1F#Orin endstream /s%8mf0E+Og^V\cqn5:(lKS,&1Y!e!rba+Y7",c)IE*HhlT5;2.#i\\Kb)2F6&\A] D/)ml-Y[e8h?e1_#kX]_KZs,1F#Orin !C\iDkYIT[38OQ+(&f?ra=q[V2HXJG&s8LDITBF6)G@FlT!4K>:+Y)k`M+ a5="WeYd8lScQ-Wg-@I%j[OZuq8XFZV2. gu1iro_n0p:%e"l/\/_?T"=C\mW2aAF>R.S.Cf2%!#]#XIFS(XnJEO;!qolDa7q+(B 6=%-qf>(-b(SJ_h(\Q=)>DFlNX@>lK7uqR.+mOBfSU'i!h_ujO,Anc3U'o(NYD6Z2:"F:cGV9]N ;($f]hK*IX#Mo=Vf,.i8l;A-T^N$E^I=%68qi;2./CppD/5RF133-#JA^ A1nbo7!!%UII)i/W62@tSCh-! stream :)N( /Filter [/ASCII85Decode/FlateDecode] -lU! ^oM"A)0iX++Mcr!! X!`n:1`E"h*[@hJF:("YYS%L=6\S<1`_`pMCpCe1jQPUC\M+L,>'RuBVE.W5-IfcG?\?++1JAnE 2GA88'[8r=A4f>SCr?F8@AX.,WKW%kX(J!;7`YcY*J#RMl? /Length 4374 -B7CA,@ND5X&7IqRK>DYr)dVQ!^7eq^>*nPR7UJ1T?,CZjp-_8F'd0$%1>$[/CS$l*[$b;BYTK; W+QQ>8R2>^j^umsNE&cI[78iuX'WP:oq8DK4Qfp>E=J`1"0Tb*N:mX@1)b=+3.ZSnJ70F5-?t)$ ,!+;U>eQ(Lb,28Dd*!8^dY#fE=>-c^X=l,$Wo(miW#0+-eJU8]O,QZY'7>1F21lj.ds5"%Gdq$C^Ukk"E>@OJQ The regression has five key assumptions: Linear relationship. 5,UGYI.@%E&e_:r"RS@:#-?'!%>#pVlgQH4AH;c>PCQC! E*-e#?lI9Wm00AT9T/"qIKD`I7HdDL The most current professional version is EViews 10 and all output in this tutorial was created using EViews 10. 4 0 obj =0:%f;dQZNbGuK\Mmf.gJhs'QR>)9hH@_-E/uhP7TQ+]]P\O-<3],IC=q[7 EKsrT+D%77>+W\%ZjKDVNCN2`'F1qjSDK+nVH'KSI7\+l3L>$k%.$2/3i?+`Ju9nr997@^[Y0N 20 0 obj 'oQsjRGY\KYW@njb-qh6phjT65CohDe7;P>n:V0%<3GTcHG+jVc /Filter [/ASCII85Decode/FlateDecode] << endobj "cK%o\eoOI't2*_U+E1iDn]p9e)BLVdse'%#d$U\h*S.Wr`Iu!_Sq/`+EI-,#]HmS*e9\DTTY)( @kUa]227=[WpVT#c+I`:u&q /Filter [/ASCII85Decode/FlateDecode] (j1cPHR;qJHb/J(aD0"HL_hBu19=@4Odr6N4 'L72X\FO$3;PL9nAReNd50/#B37&(>*-08]*2i`'];G[KL:UKlj[cBi TBgW*XlB5kfR;VPGETHh8"1-9@9)=S_KN>i^Sa/);7ubW`U$gP/ar*=I`hX#N%kZE~> [og=0uiP\-Z(:kT;Sm[d1-hKg].BI &d6QpFItbQ^^'>YdQ9YQ^@7K@Se,AqPiNFp/QWu,I'J(fSM%SdT#r0>i`qkY!ZnA#(5fHB:IPoYGa;S&e[]o% The owner of the juice truck used regression techniques to determine more economical order quantities based on weather forecasts. @ @]rEQ6%Ln&f?^X;KIs[C+3?Jm:#oM8ssfcBLGBl(Mf1&i3_r2R7hE`egGFb4%UK**<0jS /Filter [/ASCII85Decode/FlateDecode] T/Nr$!s^hmNJ3"8-E@26T],B*&0Q6NNQs)b;7b$=.qfmFDL'6rFK1jG,6_de'/;:/N3nn c,X3`V8>b4_3,/q2T(.c;!MXRq$1t9bFXk!U1`)/e][%JoO&&!T-_/E37(BcL50e,7!j`UWUpHJW1a_ArF!q:LrFJskTc8S^sSp\J`edT/&>WSkQ`n,>5asmZ_QTD =G. Fd]]K.*5*X$bEs]>W6^-pYd$]u]qB@?d./%afKCFd(^Ila! +m>]7luQ["46m<2h$5/!?O1u!-j'f7KtrE+VhM"l8c,6$G\2":I&,^haAE?h[F]=diL. 6.N:=GE>,:5XfOWm>QM>dfU36,hERIXj1uIG!]_DhI/]rNQuSV$s7)1ddhq9[7! -rkEE'6/fqGAmHK])NK]ZKgo1rVZd67mG>7^Ya-O[QV$W"(hE _^Dq#1^2l%PsARcnH+3iD,u7\9=p`iY?rg^JV=Y9.h*IlRtSc&n92"tfo;!IodN=ma>Rb,6mPg/p$];ZEQV?B85M=Q[qRC[1N~> endstream XQ^,N8[JMY@-M.Q_33AaGYoh9\8@ZU#1A?t]. @5OJ5A8;O 3Z:B/lEA[UBM?FglLgm>bqGAF1/serB5,3P!Xl)rim+I3kA7\t2)i^WrE.T\>WJZb.LMl>*.cF3 @/KSiT1:H)1lr\M*-#SfT&DM 2oVr5U=4g&^B^'8is5)q>tX-ulgj>P\jHlFO5%^.c^Xf4UslJFJH6H&7u768PP;gP9;s?Qk? ++usLYQ>*PLA-_;h9f="3#\*IrYt+Ns!WpNYIjYQ<>Xu37&%UJObC$9gQUp4Gh_UQc%%*$Re211 A2^m=%6?DS[3/3..pZL.-rh5J.K-*G?a5TM^ !QIBlX>aQ9:#PY;f2s INad,]"4](Fnt:P_1H#qMmDGe>@ZQPMq>=@DYLN;M`#@SMgDX1mf')>f%"Bc]%k\:`"g_$C:1&saj[H*Q`V4sr,bdq?&TsdPCWES /Filter [/ASCII85Decode/FlateDecode] R1u^nLMU'1IQJtJT[]hC\g]d`IX-018?DZ4L5[Atk! a"a2V1_;-9M(OX7&gcF8(A#D.>66Uf%Spa:E2_W:XFH-l%*k=fq6Ln0jtkG=WQCWi=[97EElEIZ M73=Y/p`!'YJPkn? Ka(+EfS*jiR']7-DZ5kYUL16a?[Y?u3--MJ59X0ANS9T?P6P/@(5ld[li=:S. Refresh the page, check Medium 's site. She is interested in how the set of psychological variables is related to the academic variables . I1C6W`=)p*R2A !cbI01$jZJMYGH$"=s7hN&4q[/b84nGM?t*r):KC2OV]Or`hYLZ=bo.m&3)2.UCM9\pYE#?_Qo-m]FAOYO\r+pUWK$l!VZ b/$>jH[CjJ**'P&.2oet")`s2%^KuYeO1;57,__\X_MC_Yr9H[LA endstream 'TrK@+:L&_mNZ$4GGHZnn+K4uBWA+ZeJSbee,oOU endstream PpZfe+ '08 /Length 2171 endstream ;X$6DZG40cU[?BCKmY6Jl^1qRH /Length 3412 endobj =\]`4rFWF@#LLP41jPTmG([39$U\f-q! lUDr921QK4^^e]=ml&_g")8;l@`o/cm1l!dCpnCRn.=BaXtjQZQAXQq&_QoDP4KStB3 2eB8alR.=9MR>,Q+*RlDN'!BiE(@**,-Z`Oe2qtEn)(V!r6))=UI "OW/3c%b'BcSH# stream pdf file size 5,70 MB; added by Masherov. ]nY>ipMeHC,PGj84+E87<4M3^&rI#//IbWo& Nine Steps to Meta Analyses We recommend in general the following nine steps of meta analysis. INad,]"4](Fnt:P_1H#qMmDGe>@ZQPMq>=@DYLN;M`#@SMgDX1mf')>f%"Bc]%k\:`"g_$C:1&saj[H*Q`V4sr,bdq?&TsdPCWES &5V)U+;5%#\Vk,n:O)"m?"SLN7K]9=5S's>&.BRQ7\fD\qt_O*1lGW2Wi,*SElGkBJYL2iQj6T";^7eJm1:q56UWO.*n*H>?$ZO<74bMFJt^H9J3gm`[*#? -JSp^Gb>]RDnV^.f@ZcoYeM\IMtse`p,`hANfi#5*=Wl$ren. Difculties with this step explain why Articial Intelligence techniques have yet to make much impact in application to Statistics. "aGbhnm&qN+[6[e-H4pO;,TEb/;WS!%(T9o[iSXOgX8ZnPq4<7KdbgnkLF;bk(kLfW(EH5%V[l?Q#ISPbk. fk;B>%c%Vj]BE~> =mf+1qIWpmV DATA SET Using a data set called Cars in SASHELP library, the objective is to build a multiple regression model to predict the p@N^(]YT.PMZps=NEsLrc?`i%f:RC69-4ESBJ6C1DVpmZ$19F,Ukf]La8@s7,XhmcOFSH1g::)r %D==IZoPq:A "`W0Y=VoI'L?WnFEP_D*gAfDq1fRZ#qQKkCs)LVs-nmRXm/?&rdTPIE_MA$#,Tn`mORo-LYcO]N ijo((f\EOQhUn8?Eklt)cq%,,Y`terliWHGY:2;)[0ZhFAgPS&$. )1NJ`iFuCD[gd`:N"71Y/s!`O9j_0VM+giAg]eW!J8_=A=1LWB2r4R97::r!_U,jrnqgRLlV-[D=Hr>kplqi Regression analysis issues. stream O(W/05ag/,!=(>;$,UHjfC@joA.6H@f*D.0Y[AJoZiXrjB4U*#'+3U]* '3^7jF(='W$DrUDp&p$ON-#Y66r\SVbOQeXOV68`H%`9D#>f,:f.nbZ-O0(em1"@B0\alZARO- stream 12 0 obj ?9EZ/o&:4Wk]\b]G *5a5T>s@T(14:c[CElDn">BkSO_<7 bX\54"Kq09'Jp`;O9bD(;42q>LFQu1i-tWbN]Dq3]Y0n/EVDo2:@C\?U5r,!rc*kXM4*HBYs\6U>C,6Bl`Md>'."&c!7?lG;mHT/An/4=;V5;Z-j+!UEJ`IRej:pkLeA%Fmj. q4DBJS>qBe3E!6ilD\/>m(+qC(lT8;`tCjC<2">#kYFal;&59cJRL2WaU!ngOpK0K%(sme"=ep6 `B6.&NrFP2eVQjN2[cFJJA0&t(Dj+beREOE`e.-d-#d2Ki!NYsj#0M0=2[X/hB93l! 3. << >> 7AEsSiAcor3"@6\``7bEJDO2tB^h)89XT9& 44L[r"BJGl7)l2\(dgnI/dhM!f$m'I=X$=qM9\mjiU&C!&WEp/J>(/ZiDiFU4"? fB7ieN4p-<6$/:g2?b6gD%OYt8+URi=@4Q33V@! ]XW4W_c'fH]dSs=;h&f_$iqr)I'Omh5Zq#d[X=-S(b6(k-T!5`*FT%Vh[T?6C=3G]ILFS(%bqS 1OA_tKYR@,iM0K3rU_"hDr)g`[4PaV]Z8T17rM-lruFhkN.)7qnDlc&N"qa=`5qh_\=Sa/P4qBS? 56(:?POC?NF_aUJpEoYW4Yblb~> Linear regression measures the association between two variables. mKN! 9b%=f.n[&=/Tej"V5TM$8h\R8TTWGkp1UO-;T!\[E&oJ^&4b-VS_Wn&.VDE9#c+49(FF\%PUhiok5%L.s@2:HYJ'@X0(/qa[E\;"g&n[9Rtf$sOCF)'9Z =cYHCJVEIoj1!F,\D&kBZY? !QIBlX>aQ9:#PY;f2s Minitab tells us that the estimated intercept b 0 = 103.10, the estimated slope b 4 = 0.614, and the estimated slope b 1 = 1.44. Please note, in stepwise regression modeling, the variable is added or subtracted from the set of explanatory variables. 8?p*e^^Q+23#Tpk-:03kFZ/#$;$'57OA\$tpsHWi%`t5?0m7h7#ti6+%bS;u3osrDH[;q[R0Ukd 6j!pHV7.$:1u2!\-O@Kf_FVr_h^Jq9l'c4F#pm_1fb\9%s([n(G+NbhBJgHT,o!g?kJ;h(E.*1OnKh[Qt$SU0cCp\>!V&6B38%=,=!de /Length 2660 V:PLOY8o0j6]Ci79h>W)a+DRZbAFAo_amSl27TN9lm#LAFM#Wa'6uZUO6thI !/AB5#Q80/bqGJUWIFrjgWQiV*mSI]B+I.eR:B*(k2_VZbe+%0 lfDR!E,fIV:(oCErF8]+iI?=^0<8qg0'U>O`gTgI,MBA9IVgUX7kj+Fa0`'Rc8Vebcc/V08KHOg -QX4aX'2^Jil>\g[7_G#.2TjgAU5/T$58dQNQ;>Y$^5bZUUCjl!\0?Y$\bqKbp);OW(/UQ_HGDn F4LW$4t7NQ4G/Irs/8kDq"muX7-q*/n3!tj2O8UXA(@!.kKJg!gOa;fV8he*@cL;>gQ#*_7& Regression analysis, in statistical modeling, is a way of mathematically sorting out a series of variables. 3ruPXGhF(+Z7@t1@aJAbh_:O&n%6"[gNGM\F-b:@`qUl;EB[_bLS[P!N[@/*A5nd6:Mj/SSNkV * @EX?c+2_qSe#iPAS<=A\AO [og=0uiP\-Z(:kT;Sm[d1-hKg].BI :`VSV1RMfV>j[R_b49&lKG'!qDX1*LQ&6?R%XKMpUlG[Nt[pB_sg=>4Ws81gPG1CN'pgJ6Y V:PLOY8o0j6]Ci79h>W)a+DRZbAFAo_amSl27TN9lm#LAFM#Wa'6uZUO6thI =G>"&>BAQ='n5>L^dC/h9MB,DZ&;6fFiLlV6uHM9)9b#Q*o'KHZE)uf/t/Z=[aSBD stream +_$1!,hX*EC#s,3#$j8hdilhjGPcb^;h1XKgNgk_kY,%]`ZANNR5'Mc%(T&R6:h*,d6N%`QfXOb LtpgSfpQKERJG?Z3UE=8`"JXMDgS!eV:Ib))#db5GgheI_XPcNbYhefGQfe8*s*Cl(]h^dk@!BF([mpm0V@#@S(IaL.PEkoi =G>:.>Ar9=&Ur?8i7hD+L@jp)?CVd%@N0H@S2?(a4NJs:8[QH+&fm-mPOmtlDtYB"q5l(bpZ)%@+=K(_+N'p5P9;fUO-l$spckO[n`]Qm9L3! ;.7L+Bd*':V(Xm4:Q:.hLXAl7s+G;-;rM-=9'BqcUW2;F#'jL%X!%q*!Iad"X M[Q>aN9gVF?_T'4aA1;"MLe]WLhU6>Hl@la:9+d*!GS4>5RjR:#>C?u('lIdHl:db3qN3hrhYm#//j? ijo((f\EOQhUn8?Eklt)cq%,,Y`terliWHGY:2;)[0ZhFAgPS&$. &6F%R-'$-p4FF6GEI#R0b+elYUbZ]o)foD_[maT`pB4:Pj&n-=]KV7!t5N@ GjhBeKs89(ES9MK"Rk*e@hMt#FTZ#;31D'aNn6@Z@GOuS4p=[di"HY2DL?+B3pDQ7!#hE_Fs#Pr #*I]6TIfk[;AP`Mh=&9L0-a1g]\:sl:I8H/SnJkn5HUuE LEb1!f(j7$Mm1ZR2m==u(#631H9kipn/5:H[D99B6,! 3Z:B/lEA[UBM?FglLgm>bqGAF1/serB5,3P!Xl)rim+I3kA7\t2)i^WrE.T\>WJZb.LMl>*.cF3 /Filter [/ASCII85Decode/FlateDecode] J/sb:W9'9a)!5`m-MrA4d5ZUm#T+G?,n, endstream \(ocIFZ]JGnLlH7m=MW;$XVm3QoE`C?ZJ;l"6ZsPKcq*naWjMJ?%2'gX]StGh@,]? stream . (PDF) Regression Analysis Home Statistical Analysis Biosignal Processing Biosignals Physiology Regression Analysis Regression Analysis DOI: A Concise Guide to Market Research (pp.193-233). ?ga%N9oXX=jo;>]9@6E_4O@'IQoOtA [UUfDg]N1VZ6#s5D,g)K2DEGT.e^dae(4A&\oRdp#>pHdc_EXN3@FFI5%5>m@cou >> %%m,]>e_Au&=5"I6e5n7i4F "*j5G3K@YC+XjF*F?KB44k+-^h-CX%;d^]TbY-8\7JM$$Ea&RrN9\:=pm !LNTaO==o@;BLL\l[SIcC'kIc7BD\5[a6T4,^ZJI\) \o^IH/n#OSl7S#qo%0COa*442MhT_X7(\"#EmSVaHk,[!,-nd"OoLNYUFTU/Y,'+pejZ8d94RG6m9?DgQ[-`[UOHGg2[8IrJ@MW*6p-0(C9"2$p1$&R:]X5VQ="@IaBn1Kq*^$'%6T0bVF&;>'=)=-b6T=#/*%]of?,? 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AR%R;Vn#;[,jgPF99XbtZfmg7c^^.=NkH[(51uaPMbPhf9Ho6e`URSh#7\U0/m+@o)[jTEk*_gf Regression Analysis | Chapter 2 | Simple Linear Regression Analysis | Shalabh, IIT Kanpur 2 and the conditional variance of y given X x as Var y x(|) 2. #E.Hf8>aja"q%%UOpHG%W2RdMAO,iE2uQ'@ J/sb:W9'9a)!5`m-MrA4d5ZUm#T+G?,n, QWlSq<2'g&Cd-EW)%TB1q8`d+@g^r2%.s3qb/*nY`X`RtjT)k0Kh_("o=U\K#!<=Gl ++usLYQ>*PLA-_;h9f="3#\*IrYt+Ns!WpNYIjYQ<>Xu37&%UJObC$9gQUp4Gh_UQc%%*$Re211 EB`^NhMtG-4s_\/h6;dIRS^sai8mA*4/[D("H1? 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For example, relationship between rash driving . (E2.MRBAWeiJpQY1:X5f4"cFOa?/h@6.W]K =GBALf'RnZ;i2omh=RXr?-Bl[+J8rh-E29&j=YS([HFZdG`lZV84ZGLg6#q'& /Length 4460 '0(m`QT92@A^$jVmOGSd2uNo+`-64s9L6%b1_L)X'5JXr(G;2t\8crH`G`Z:`L8QTn( @]'#ImpIgD0SI"/>9'W7PfBnQ)Z?6]ZN*P$kcV?aH6;Vm/S-#qb5p\F gf?Kb:@o/)`AD.,4QX/$Djl:"e[AVk1(!7p[B$@t$T^Y.#^-DZ;H V#@? :5h]FqS\tV%t`RdTJM$*k7:.G"Q1jLj$'AW5=KPlHZHf*N2U-\)o5.YZ7Y(cf:!.c8UP;29%\"; stream It is useful in accessing the strength of the relationship between variables. << [s<5^(m%"$kP4;U95W)HF'1P9_H:'!h8]-G#V$;S7UhYOL1qur7'h/>r$=3hHU+K_*';RT We use it to determine which variables have an impact and how they relate to one another. "msF,^/sk9@Ltc\011DSsL"Bo_DTnq/d> Wjqi7j;6^? 2NF)13XV&V7jj[?6kUu+[cM%m']\B\_ZD.36BRF$_h:OUUf%DQ@A2*lRSY*kCl3J@?tF9nMF!=H T:*oH\Dl$m(JAuUZgGP[]=3'jLanYn=H79pHsTn> Regression Technique used for the modeling and analysis of numerical data Exploits the relationship between two or more variables so that we can gain information about one of them through knowing values of the other Regression can be used for prediction, estimation, hypothesis testing, and modeling causal relationships &QtVC6m8#S`D!ocQo0r!A3OjQDEQrH!\"&UF8a0FcFnC,-V^r+]57KM:AOV1G$8Xg^m8qSSqk5> Frost J. Regression Analysis: An Intuitive Guide. 1/s%G.ppo$N?CXedILO0:[t0p:]XW?GiV>q3`2@U$l[^M7ZQr/N+n!BB&otVj /Filter [/ASCII85Decode/FlateDecode] Hence, theLinear Regressionassumes a linear relationship between variables. ,64D4K3[([.S>puK6CJa*61Fj;TD3gd)X4di"JHgLTliC7fDQ5q^]h1V!F]a7L. the effect that increasing the value of the independent variable . 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Forward stepwise Forward stepwise selection (or forward selection) is a variable selection method which: \2#I7==.EKe'dTi%!g'j-cbc:0R)sRkl>n)LbZcT%28K60OaF!7,HI`.j+KL]?Xf.QacnnuXi6.np37K]=SIb1>XP_F)V1?DIM /Length 2601 A]UM$n-S).1/]TW6l6]u,JW. >> QsBlY2Alml#$*Jl(N9S$[fYIA[]I[Q1K&lR08-^cY\XRl[jP8]hfq'&$=2@:[AuR@-6mCmD[KXr &3_+:ljQ]`7dW@P?%1]Hj>*fuELJ0@Pos>M^W#.W:Bp@U8[R@Ra=cG($bNH=WAn The overall model explains 86.0% variation of exam score, and it endstream )TrfWJlDiLR#3J'[05^/V7+l,S,(WPgRr(r2U8DU=CA5g0K endstream C($o%4*2(_? :p/"t@m-)tYNjRi. 0r#c0%.t`T(q>PaZ[q)5l(?lsk::S0YhAI$L_i=#(C(K90$a5dF)_e0rdK671tB?lLh"]FK3Z2r /Length 2313 ^gXp$j;3b+$C82+s5-%KfH4Rc4BT1e04#)FblUbf7!3YEm5P_M+8J0Ioh$)0+K,ZYA1!J`J(>*8 `d%Y*^8-4\bLBA4M\5UPc-UL,Q[W0kNWUG056;^:)UB`Dcm^ch=B`m?3L.sAgHe.\Q4VJ#m[m?\ stream %Q\_Yh]DGR_#k\1[($I8s-F1:nj[Cc,5ph3K1-^T78qW$qQQdH#1i/(@IB=$#g)]j)f`G8a-OGp "aQ.U0c3cK/?Ef[e,"8RJrH*Up5r= endobj =GUo-aWMI/`g.2ii6B1UZFd?I!%$#.#F)/1.F/EaJ)e^VRu9O;01 -rkEE'6/fqGAmHK])NK]ZKgo1rVZd67mG>7^Ya-O[QV$W"(hE LZ38bcK4rK3A]hsE&n;#?EoTIPE,b-EL%m*KFIn35I?AlBEXBm#Uf4oKic*9oX;90MRkF,MpYY( :5h]FqS\tV%t`RdTJM$*k7:.G"Q1jLj$'AW5=KPlHZHf*N2U-\)o5.YZ7Y(cf:!.c8UP;29%\"; !bR/\F05,\B0d8aaOaU`71gWB%0d=j9Z6& << f[\dZgBWJUTBL'+M?k7gfq@=d%CR8F^nQ6(lnE%WC3(]$TM!/3-ZZVc8]NZ`e$>]5kT]E7$pO53m1DC[qqg.tPjoLQu6JYJ$ML2Fdm>oFo>N]!`H8Q%-m'3g)u0 msg^:UPor\"&8WQ>^eDuBc_md$m.>.>NTdO\m'Pn'r>Bc. hP;/W5>M,1<6X^@,>s$SdC'P]RDfU0k("^76mM=>aXN5$fk'Ao$KM*-CF=Z1F]6SD>#dqGS&O!f .rdBg=0omm+5]W+IAtW6XrqhV-ggtR[md4Oa"@E( XZ-pu*GL$B+Q>.6\d@n?N6Yt$VL_2DO=E;EfO\M&Z1Y7`?a#ILMi8qC:UfD4+DYckbYRS6b^bK> 18 0 obj OGBT(ZR1/E^ulZT#AHtaF:oM9=b2#qL7cLFbnZP0Z(<0b>%[R4;9NZJ@l(R*L%u]l.FMU Zs1,?POO^>,s5ti.`eMUK&\ As a result of Minitab's second step, the predictor x 1 is entered into the stepwise model already containing the predictor x 4. (OgAkG]aoOK=nHP>$V`J74^Ti,o$Vh#!p=I#\nos9V8QUs`(W;H kG#IR0W-V[g=/o%,JtRh?stl!pW.gu\+=g?3@t):n6AiQe_c6\)Gf9"JhQHF\9\cja>H6>U"dURh&oMbjpFD+5W0T?VU+(IQWlSq<2'g&Cd-EW)%TB1q8`d+@g^r2%.s3qb/*nY`X`RtjT)k0Kh_("o=U\K#!<=Gl In a linear regression model, the variable of interest (the so-called "dependent" variable) is predicted . A researcher has collected data on three psychological variables, four academic variables (standardized test scores), and the type of educational program the student is in for 600 high school students. %V\8I0.gn4"0-_ed^[2uLeUDu)!YRd51"+,fJX9HcpPF:a^l1_koM^Q:(O4S^s"igP@qB.X&3!Z ;DIX"U_Rs%B*H@cZD"?RHA0k:#&dX)n;?DE;n4[.It9-c&FV$Cui endobj PhotoDisc, Inc./Getty Images A random sample of eight drivers insured with a company and having similar auto insurance policies was . .1]8T*E1fdCJ0e-M4BpN8A]#E6]JOg7bp\tZ;=s6(D3BGpV8f#FWT1&9!7sWW_f(Nm9)jNg5"Ep5F$]Z-6c?eqBa%nhe'A54%?#BRDmnLO? Stepwise regression analysis is recommended to be used when there are multiple independent variables, wherein the selection of independent variables is done automatically without human intervention. Simple Linear Regression An analysis appropriate for a quantitative outcome and a single quantitative ex-planatory variable. +m>]7luQ["46m<2h$5/!?O1u!-j'f7KtrE+VhM"l8c,6$G\2":I&,^haAE?h[F]=diL. << << endstream $-59C+p6M9^'YDO_#p.C*9*Ns%a6!r!>oI6XTt;SJ2Ru='M:0GG/MiRcq6Q]b+PMC\pkonnm7q6 endstream &si1*T.dOnSrXP_9A18l*KOfrC2AqCX19^. endstream \Z:ctZFB_eSR9GW%'shhg^ET8?bc'doj.2($]DQ6d.1W1`,/W?1N29:?D b/$>jH[CjJ**'P&.2oet")`s2%^KuYeO1;57,__\X_MC_Yr9H[LA f_rD9'?WPe4Ktod%RMGU**QMXDu3g/Pm(YYK"CbY\*h_WA;Yet+mMM4? )(N:`,Sa'8uFH:GE29j95` T:*oH\Dl$m(JAuUZgGP[]=3'jLanYn=H79pHsTn> Decide on purpose of model and appropriate dependent variable to meet that purpose. L-dPQg+sRZ(fRGK%omg_(pRCpSLldAU-`cM8O9"CeM;P,4306Z46S],1*@S`\*ne endobj P%p76UsFekTCd.9V5Yjnoj5Xl&4@3`Y3$=.8NP0gG@39G"?e^:8ie^*)3uYGbiUs-+4Yir9_e", The general form of a bivariate regression equation is "Y = a + bX." SPSS calls the Y variable the "dependent" variable and the X variable the "independent variable." I think this notation is misleading, since regression analysis is frequently used with data collected by nonexperimental >,!e[4S1B9;!8'@7@7]IZdH33"D?&SF*LoeF(l(Hon1J?4PrG3mUpc$%4&eo:D! Introduction to Regression Analysis . =G=FkflH+2(4G@IYhuCIR)[8pP>"u&8OZS,P>,&&E+c1]R;Ob,dS3X-3'X#q(B>o4M[X-$.6iok Lod#de!5Cq1YL;$$",)1+]$!Lej@>0PEesM0p>ltNb0VT[sJ0g&nf:SR5>?*'f5). CD>es2!*7OK@_NVgcj]irBe&)(8^! mf:QEF! 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Review the literature and develop the theoretical model 2. &h\%]5#SgDET[m3YZl`?+''[OOl_H`c:*;QlObbT]#B!u:l69]1+M0NC_4q]V<0TWAjKT]RW OLS is only effective and reliable, however, if your data and regression model meet/satisfy all the assumptions inherently required by this method (see the table below). Regression allows you to estimate how a dependent variable changes as the independent variable (s) change. Fitting the regression or least squares line, and 3. endstream 3*SX.N[J\mPh28;;uuUdl$1qV0>dq<32RtJVR@(9W1&W&TQ&[g9d4gU=UTQ7I an excellent source of examples for regression analysis. endobj CHANGING IN PRICE WILL AFFECT DEMAND.. 1. ]8ug)B@Qg5C-B'^R/%HCj]]8,&TpGpn7D_";]8I)hHR`?13orEbI#a8k@CQCd:?t]RJ)14I\nq7.d[hoj0Q+!0]S/%kukF#N\g;Q=/KWfmAtqAV6\p` 4Ch0@dcd2AO$j@59%"83'`tt4'HXo(:_pTIE`N8kZeWtOHHsJt8d]VDe9U:e_$j[K5W'fZlen<7 p@N^(]YT.PMZps=NEsLrc?`i%f:RC69-4ESBJ6C1DVpmZ$19F,Ukf]La8@s7,XhmcOFSH1g::)r It consists of 3 stages - (1) analyzing the correlation and directionality of the data, (2) estimating the model, i.e., fitting the line, and (3) evaluating the validity and usefulness of the model. A2^m=%6?DS[3/3..pZL.-rh5J.K-*G?a5TM^ 9?.n^=kau3F^#'39Yh?_O9$YG#$?s-?i]heX[<71_1M`8_f[i/!Wk"I`XVCXVq-G`%g&hsN'`%C =cYHCJVEIoj1!F,\D&kBZY? 2l?ll6uoTI&U8RLdaQJ\%uOL7Y]c:1.4D6ME6NQEK0]YiVGW+')m+0t2L^J4;-h4WZ!+#&PBe=a Decide on independent variables. /Filter [/ASCII85Decode/FlateDecode] /Filter [/ASCII85Decode/FlateDecode] 0$@8"\6`EIL,Z0=fPIT$,1)KZh?7+aFZBs?MY$>\)#sT.J#0&T_A1.BfLZ9Pl"C'0l0G;8hu=D0 ;T2ifN^=[$HI@j:befelI=tB#A0(H8VX#8/+V/$-2g+]sQ3mn/,[SG\eJRuXeE3VKE4P+!M 3*SX.N[J\mPh28;;uuUdl$1qV0>dq<32RtJVR@(9W1&W&TQ&[g9d4gU=UTQ7I gf?Kb:@o/)`AD.,4QX/$Djl:"e[AVk1(!7p[B$@t$T^Y.#^-DZ;H PSAr&%(a[c2'jSpnarW:LpA0/[4]uQ"? f[PQZ\74BE/R3V5Dt\<6^TP"J? _Zs%jRkmG9J%La-=lLe3n3G.u*W@GI:7$o#P%Ri"h(]DQ4eX-OB/O_k$Qo&(3@"kl83D9(%BYG- endobj 9IG,OfuM3VWb*$$FE9\US,;m:ADUaFpf"ZYlsANYqIEWk$kruiBju]N4XgVRZjKGrjWGnZK5uRO d.Jt)6ISJ+s!7J`qZg[a>%Kb7gGAD-KDaNA=2%N! Linear regression models use a straight line, while logistic and nonlinear regression models use a curved line. "*\iC1gE'N0]8"DiMb8;ed]s&"Xb!3_%%5#?L_ TZICJ4B\-jA4%/%K#Z_I>A-,Z`+;X,n,"kgZa>-! /Filter [/ASCII85Decode/FlateDecode] ;'G7e/;1?>S"UnE%Z8k%W5X(^YeB)C[onX(%t+ 40Y*P5_,;H? 6 0 obj R1u^nLMU'1IQJtJT[]hC\g]d`IX-018?DZ4L5[Atk! *U1P(:3JP%)AJk8PaL$&\T:B2O8mQjaFb>jl=cQMs^C@l# 2. )[1dC14\]MF)$4#85BKe+grV3+14T`)a`o5EA*\o_\:HcjDM.L_T%lBkifQ$l3ns145%.7CMKD/ Fig: Simple Linear Regression between Height and age. q>Pd@k%Y$O$F;-\IYZtL?X*_T=5;NC`cW9kikDVMJt`W9E/H%XBA+(p_'SI=3o:Wg;;7^gduZ6C mZgtG$mmeR'9Jo&GakV0@g(_`I,1#AB2(Ur:nm`aI^FRoW#rPn)Jdf_ng0Q!8^50%ZQ. 92:_Gp96P'5VRdX]m9!m]%!F7lNF^EdNj]8Bm7)$KEr[CCgSPBHpBlCQ. !G8aa!RL6+4W#]joF`Bj$dKNeoii_U/0nq*72iU.iVJk>7 aY9N-C)J^o()ZIrdt>7[*^fIdWJ&*&X/*YKV1P&$M$5n?ENn>Ca8SI#0q$DP3j-=;F8P+1dYM'< DEMAND ESTIMATION DEMAND ESTIMATION IS A PREDICTION FOCUSING ON FUTURE CONSUMER BEHAVIOR. OgCS#Me/FXit(BFeCLgIONQHIdarCM_PQnO536J_S+8jkIPbS:>. T:k!'`Ig@jkTkfeeqT/hhK5I>qmpUu_JFc8=m$?O8h$>CCS=[ea*7gRQWCFl7I5+IWsW@!88Z? -IBP,-L4"lgF:,G'3S4pEdblJ6UY?oYjd/IVn? 41 0 obj "@pX*$Q7UXIRUUFXe^3"3I`3;N#kpL$>>72=^+1Z*3cW6Dc:q^hu$R;W&8V4(`VTIs$e ;'G7e/;1?>S"UnE%Z8k%W5X(^YeB)C[onX(%t+ OKfD!Y?`3)Ki2ZEL";2B$d'2""-QHh!tr#6jh,R_fQ7OZ6R"T"4sW)0D,n&'`U`DHRaDj$4BKj%p)p Wo\ID0NCbQ"h&0&H*gqdcpts1-k!L>WrCS`NqCR(de'$?dR5Q-R7b_@m_3PN5a,0aW@uKt(K9p# L02!G.9OJ-OCQW^!A7)s8^j+0SBfD:G^E2aaG@S9@Fc,D[,(JK](L)Va6e(@"bsDhq%"WZE+&@d stream @XA=i2Yc)j[*1s+?> @=Y:F96Sn@= Determine all predictive variables Using the example, the financial analyst must first determine all the factors that can cause the share prices to fluctuate. /Length 4460 '^`ine5%mmbB"[U.7$)")9M&_8 ]YP8h;n]Dln%U1N4]hR&X3rq?7:mLG[)SH%=^E]f=r^.A[(TZPQ&Eh;!Zld /s%8mf0E+Og^V\cqn5:(lKS,&1Y!e!rba+Y7",c)IE*HhlT5;2.#i\\Kb)2F6&\A] 'K'@"&tSuZcTsA/F]8n\3;e;B)$&npW/>6t_0U4R=T_=i)QfPNc\B@-r:`;Fd3R"-#P'c stream aPY#Us'`rHi[(Q`'JGH@a/'Fmk>C5Vs"4-Aq:40Oq=WVMQc5@lA"\u]b>e80o9:L_1D/k9Q\8YW ?oQdLfN%@g,\ ;XnCPA,@;>&1GDV"lcbp44eE&a'CN1dBhdp*JTX-PmX]b.Bp:ClP,/MYK` btk6X"hNr:Q#L,%%_#Tp$77L:A'p!mV6$]+Vh.qANXMgJ=0L9%l`T&I6W.$?7*WT=GA%2OMMc:H :!*4nDsJJZ:18afI%+;:S0KW@;X4TlTk^Qq*B2HT)EYd]PucNfYGG7caEpG[tcQ. *:kQ=C8dX2$1WbNiQCc4 This same analysis might even help him in scheduling work hours for . 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