i 5]a)23 (88° Monday AQVHOLEL Bot rat efoorey 'COsmClation and Regatesston coomndasfon s — a = when chunge i) one vanible + win affect chunge in ama they ven'ot ie i IA cds cospriees Hor) ex;- | Demand and UPlLY x tupes of Coutneletfon 3 - _ D Positive and wv i 4 - 2) isimpie and etree ae ote ae 3) _ | easttig) and Tote —_— ad |e. —P_Pasprive__coome ts tio & a When Diatechon fF ome 5 es LO they ane tnes me fs citgo geo nes) Haun fats type of comneleti7 IqNOadn crn POS aH C m7) SHVE Pomme tee fo,ajasive Bo i____t — a when piniectign _ ok eevee 7 5 oPpPosite mun itis idmownN as Jmugu tive Coomelntion. +hut Ss me iManiabrea is iManesimy tran othen (fs decnesins amd yisa-vensq | || _EX t= ee amd Surly, Paice and dewatind 3) | oimé Ie eooelatton gee : i. hem nm ele He's - [iteeen Reo vaniebtes enya 4 . tis Kvowmn us simple conmeletyoy wy mau LHvPre. — COomeiatong. when comme eto) ty lherween ety TO. Oot. moe thay +O vestaubres hun it 1S tenow neds muttivie — same When jim conmebetien | of “4ne choniucteniticn ccomsiden } +! Onn |e hon ~ 15) Jotst Comnehatyoy oleh tne ——cChtrnucpenticsS ane Comsideq —oan comnelntiM 1S Sane tO leé man = AIMe cer chewy Weer fee bres gana | it Factng Cou noi Storete tne __ Of l'eau se iahonsnte between ko Varvable x otnd yo oS nec) ys 3, 4) Comme ict co -erercfunt, °t iS G rosea denoted by tot. ay - Py rt - ; “ Msdme ithe vetlue Sale eae Coy ies Potem 1 40 112 fa, 1J H the. value ae at oceenges Pte ee? toa _Co.a) Comnelattom co-e€tlelunt fs YnarPendect Ge change Of Omigen amd Scale ——} Lcomne iat a) Co-e fRiceant WS Mndpendect _ @ase @ As az Aouad va dda aw, Balers BWMaly Bary Gay|. Scars Ofaaaiam —xnexnod ee —_comsteiuaton between wo og? MG4SSSCSCS—S methods fo desermirne cosvielation i =e = - fs “8cal Het Dragon method. LasiG wf) 270 Qe MONL Kernson's Pooduct movenect ee / methiod Be. _Spedovmun!d Run Cosme tion. metuod. Mavis ga'syim ead | un anis mesnod ane extsiamce oF Yauribles x and 4} %s shown gmuPhleatly {Co tse la tom. 1+ fo Simplest method +o Study the _euins cf values of — ae 4 Pofnis une _Ploted on tne gota Ph _ Cuper und the optain dfauqutam fs wow olds scutten d (dnd _ the scarxten dre fadm _ Pnoviges the nutune and desmec © oF coomm@lutroy,. but doer nuk Pucuid e of COUT Leo Fo) _ eo- eFRvctery + — [Scettren dsm). ————— exect wellue “thee une Five. qyRes of — ALrr : = Coss itty Cate +2> _ ns ettve Coors -1) ch Pexkect Possiy've he _gormeh of Fenfect Possrtfve | Comnedertivon fo ave 1% Pottow5. as : A = l, so a4 ek but tom_ ae 4 40 att nt +00 _\s0 v¥ . {oo ; sa . i? [ne +2] (0.9) io 20 30 UO § r i] AD Perfect ngsarive — AY _ a : m9 vy % | —_—_-—— Loo! = jef+ tof 46 . burdora onigntdh Few! cit Partial Poss(rive Wajutive | - as | _ 25 - I i SS 8" 1 20 30 £0 0 - i —|- | _ - — —-— - a i oO ——_——_———lo | C40) 19 20 30 ¢0 sO [n= 0] Ww tne ScariteH Dicisdid mM POH => * ie Pe oh Line. Se Fom the gfvet veillue of criendun¢ce or _ max Ne Ti cenfece poagitive ata ep @ As cia Aouela we daa WU Rlges aruci| sue usr> ‘pateru the Scatrey oiasinam fom rn ——_Pounustng ace —a8— income cand —— expen ond inser Poi be vt. incom € i 10 15 25 a5 exPence | 4 a 1*« 25 {| —— Li ~ (eo) ZS @ aden Asani Grill afl ader oulds, aries 9catien aiagsium fox rhe lemon and Me Summ et demand! Partha nagative “Ae aR FA Ved yu iments f —: Yoo) the seuttex diggsiam — fom the a on Forianings data OF mdotlt 5 oF —_—§t iA sem-2 and Manns of ctt 1 _ __ sem- ee - NTE SS Ee oA 15 de es AO ctr go ao pe wo comme lat co” $< — ee IE i = O20 L hot ial _ Sree antaes Eee male Fl _ ow 13 i f a esti EL _ {| jo. ene lz: I - 2. __wewt_peanSa’n's _endduct —mament _methe ithy’s metnod calewlute Coo welut on —ep-efficient bused On co Ve dee CP Standen _Vasilerble XK Und 4 tne. saute 6f observation x and 5 COC Le #/0V) Ttovefficeee ce pine cs Forows Acs = Cov try) 6% * 54| [Date — re ca 19) Bb EE EIS 4 ‘ ae IL — Whe Aine this Foc maattel Ys gemesapy Losec. a - ae nts = OEY - COX ICEND us | Sys mn euv = CewCevd 7 = (in ext Cer) (Mneye- Cay) { \ Chen - Ceur) CJneve- Care ©(Pind unl eoison’s Cooutlaten co- | ePPiciemt as tne folowing daty OF income und erpence, _ - _Mpcome,_100 lol 102102 00 9397 91695 _ expences a 44 99944 95 9095 94 90.1 gl oe yg Coa cy - Got oR -Y TD joo 4 1 3 : atak nae ek | AOERENOTENEEOT = WOR RUN TEEE lol 99) 2 ¢ 4 IG & yor 49) 4 o q 6 a jot 9%) 4 2 q 4 GC. poo Ys} 4 0 L 6 0 qg 42) 9 owt) q oO qt 95) =o o 4 o 96 V4) -4 -1 L ae 1 96 10 --y -5 os 15 9S G4) =i) -4 16 L¢ 1G 990-450 - © ° 5+ Ie CL fe __\0 : ALY = SEQ _ : C8 ecx-F92 4) ecy-g9z et _ = G = ©p@l Osr+ (= -~(@)—— at & Uber Asani Cuda Ggo2 alas, avs Gert crardl osind at), PENSON CNEIAH'O Ca-ereeton T Fon the Priominy dara of meas oF jaro subject CSM Qud sem f Cx-#) Cy-5D eco “cy: Got Ge ED-0y-5) 4 -2e 18 G46 aE) 2) Gwe sh Oo =-13 OO *6F Oo Sq 73 -—§ 4 2 8&4 2y rae 26 G25 yoo SUQ 17 “Up te NS CK 10 te@SEE FOO UU +20 : -yo =~ —\GGO 6 WO 34 ts \OE% 62r sse~s7 724d “WS ps MS 4s Sh 15 Se AGS _324 dS GN to a sale 2224 | CERO I - ee gp FOG | W665 Peas jt as 2 eCx- Tx | Wri Asai Gualol op sided zulls, mums ( 4 aid) Ol“Rind acer i” Ud ing Show tor™ Fone e It. dare of —inleme \xx 0 a ee _ ) “Penson 92" relation co-e PPTCh en 4 _ method fou the Curd Cx peice, = 2 2 a N29-8 ut 6 3g [go 2 64 9 Tq ht te gz 802g 12 ; S{xy = -an bu — Vv CJneue —Ceune is) Nev = = Cavs 2 Gris = (0) 6-22 > oe ve “2 (SS BOLE TST ESC > Gon pe / Cj is10 ))S90 - as - = 620 7! = - 2G25G & TeUA : a = G20 : : SID. 16 \u = OFL—e 3 M=Q-A _V=i4q-6 ut vt uv tag Mut __t ~14) eu 36) lt 165 Sey ~14 <3 A a re \exr Se -20 =u" leo ve . = ‘se ss _ aed Gu gt _\soea [16226 65 5 a 145 168 a S 4s 3G sur 12S__| \eo 54 2 32us +t ne \Q\ \e 24 256 sul usy Ze \S1 “We “aN iG BNA SoG Lt & \eY-y 22. 16 we ee | -\40 3c ae 2520 ait Glyy = vy - a nN gur- Ceyrrs| nev? -Eyyr 1O_* 2196 - (6120) (82690-25400 » J2sn00- 12-46 = 2KOGY x Gof 15uU, GO L¥o yo Ks, U9 9 3, FUSG 0. 56of we und Y 6 20,05 Und stundextd vert etton of und y Ute 6 Ctnd 4.5 __stesPectiv 4 thay) Find COnmmetectlovl a OEPPP operat ony = Cov Cog) npian a Se | —— —— _% _leind Paoduct moment couerttt_Co efit} Aging Fonowmy muihed. seamen Meee) eee P= nO Een (2 exy = 4220 Sus o>. = LOO 24220 = 10 +29 °2) NO + Wes wreI 23410 exy 2 165% Maier on. f+ cos dS Cover that fa ecnin of obsenveetion Ciu, i?) | aschong 1¢__tet leery et Cl, tu) thom | == Couvect Patan _( 1%) Weons Cum Cit, 14) i! Wr WY Vu) sh Gg = ta JOH + TU = (+t = AN | Ex. noi find CO anect gonelatiyy Co-cfe'ent Bye (60 + cy - gt 2 \oe + \t-\y = lés * 26655 + 196 - 269 = 2uUG6¢E jext= 2559 ¢ cx - wer éy* 2 AUIO- + cy? - wy | = aulo + 2¢4 — 196 = 3503 LEXY > leer + acxry & wry a = lesy + iss © Dass TT 3 CS Guaais Guile SQ 827 wills, MrUws Geet “rAdOr 42 nerd = Cox Cen ele * (neat = ~cexe 5 (Im ey? -Cas 24 o- 16% = dua) 16s) _ _ Tis: 2u6@- Cluo)” “Sia + 3603 - (les)? = \6%xO = 23100 __S2ucga- \9¢00_* J 35040-23225 __ when fen anny vanttale. “haste Ca Quawtanve —cresyelttendt1'c5 ak alwes tim @ sPeatmun's Ranix Codineieetiony Co-efheciemt is ee : the fostmuter soy Coat ou “owas a> [ees a } Os cat ATM SASelNs $2 ciesise a3)3 Rd) Qdeod) aur‘i whee D= 94x01 a d= Ra- Ry - Rx = Slamie Of x a Ry swan OF yo 2 notes Sometimes munksS ase wepetect. mone than me Aime ot that he Fo towing fosimutg 8S lsec | 7 _ __ ays a~ | 6€ed® + eee _ | kK Mint-1) m= 0. af time the Manis 7S | NEPet ny == Cind mani commelatior coflelent fost Pive Pasuicipat in Singing oom peton _tudge by two qudgzes : himesh vreshmivy and. kun jeep.p Y= .As-By oe maven ji Pp eaten. 88 Ba So_f 7 Ss 4. a ee 24] 3.4 oo “a 5 a7 | +6... oe fl I 50 3 2 a L us | 80. - a 4D _ 5 a ieee on _o 49 | 6 ao f i a - — - - — 7 — | | WY = i= [seat ) it f | LN Cm et sf = - 7 ~ | . Pfr FE ! = g-/ 42 | — | oe \2o — { eat Oo 4 = _______———— — — Pind omne itn cocrPitien + “foot the iL monuks oP wo “sue ects fro eal = tenn Of 9 Stusfewti. Se | mdapp— tt - n s Ru RY dex RY a & - 61 ty ye 16 92] a6 a & + Ug GOS" 5 4 4y \6 6% | 25 5 S iG dG C2| F5 @u 5 aa a _ SE | 62 2 3 ot 1 Sr] 9o ¢ 2 4 Ie 64] 62 + t+ ° oe ut @S 3 © 3 Ji (e) juu — 7 © ols aie ATMOS £5 ziruse ald Fdl Weed yarS$ Patiticipants @ank by dpwee => | Judges stema, git, Swe whan = dunce indie ddnee _Comneition —_Fi'nd _ __tyrho Date enee Lie m4 Poot dunie a RY aor Rete 2 _ Sura) hal aire Ax Ay: day dy dy2 dyyt aut dv 2 5 a > 2 a qu \ ye S) a 1 2 > 1 wu 4 3 2 5 ae ioe .2 4 4 _% | + 4 4 > 4 3a a aD oe 2 © cto-t oe td Ss _& nnn at) Wenn = se Oe +t | Se OF Rt ta _& 4 + 4 > - ou a 26 Wy 34 - oxy: a- |] 6 edgy? ‘| _ = : : mon? =\ J @) ——= 9 9 ———— — = YY - Use Asari Gude! ofl user aullls, ares Gears ard ols4 os aren ATM SAsalels 88 grace aad Pal VA-efl yaa ee evel onanhseiohgammimaape: 9 - Q |6 $6 5.9 Ved 2:29 - 16 [15 @ 4 os ie ues qe | 4 ze) aun y ; 65) ome 2 5 o _Te cee Rank %& is “eecteel | Batmes Rant 6.5 15 meeeted 2 aimes | mun bo Is Relrtec| 2 aime aera | ™ mcm? -19 it | GIA eal eee coe 2a > | 2 2d) = € 2 acu) = Sf Em(mtads SE oxy > a- [eC eat + emCm2 ~12 | le non? =-\>d Pati ge uo O. 42. a )je Sum of i diefonence cl given seme a3 (eat cind _otanis 0,¢ than _____ lof tan id 9 leon relarion —_coePFiclen+ om find — is —_ — ae Oe _— ntn?-i> iL ts noni 7 Orr —_ _ menr-1) = ago 7 nt G+io tu gt lotam\k cons PS QO. &gate 664 CetD= wut) BEB a -9e = \u4 eto 4G yt we +7 6eah “6 —_ I NEm2~1d = 66 eee [ccs | - Uaioe J oe ce Jee: Yon unulugis dvetenmines the | best Puncifonar elute) Shure 1 Lbetween dePtndet venlaste (4) aud {inde eestdeon —ucyndete tt) —— 4ne function _meteation i gs new Os ne gn ee SSton etuwin —iy ea. - © > thee ane __two - wregmession_ ee ee fs cathy? Lo, «© en YY Cx = -atby) le Tine guneds tot Aime Yo On XH _ a the Fosmila of sieges sior hine ca on _x._t 7 - —_ | (Y- yD = byx (x- 5) _byx ___| Where = £% y= ey n 1) bun = Cov (x,y) am teem arad,—_bxy = cov C4) [oS SB bays Mexy - cox) Ce) eye ceyye —_ xyes ecx-0) (y-G) - ecy-gd a oie Sx __ S35 —>_obtyin segue ssion ime Septs om .SULS when pulce = 20 =. nx _ xX NX byx = Puce C2) SELLS Corer XY xo y= Se a4 Juy Gy S2u 4 a8 13S" SS us 10 16 \eo loo UG g1 lt \is \2) 254 12 Veo AE B2u ea) \4 ZU {65 Be | 14 ZO Cro LV¢ Yoo - —11_ || 24 2a) i2t uty —*¢ | luu (goo M46 a2 ———l dean tne egucitio 19 sures om) — | Ruitce thus Yon x. the: bums ~ mexy—= Cex Cey) Fee = ceQuey = ee = _A2e0o - (2692 a4cg 2 A4uy fos (2:5 ane PHU = SSS OSF G-Gd2 byx C2-¥)5 —CY-V@) = 0684 Cox = th) Ei Siie Moa MeO ce tot V2 OsS EEE Me EX 2 ox 2990 Y2 0.89 (20) tilz4 s Vy +i. 23 * 23.014be jams Me )—— _ 2 lobinin aegnession \ine demand on Surely Poy the following deter und + Pima —dtmmnunt when supely = loly ts) gy : semand, Supply gy y 2 i | G uy q Wo te Fas ag foe) Yoo ye) asd Q46 — Cey)® = Woe ISO - tisg > O.49 || - 6G OAT YS = 5.542 —_ | ams Gagy @ + F342 1,972te hig in Rejness; on m1 Rovrowin4 darel Ha\W Tee — <== = = esate S 310M ame OFAC iO) FLV fe demauns ner Not % wing — | cee -509 G9 = 40 Cen -HI™ SUG Bru ys €Cx-3T VC 4-F) = 40 _ €Cx-F¥D 2 UG byy 2 & CX ee Ex YTRima Rejnession tine x on 4 Fo _____ - 1 so — a _ tne Conocw!ns aa eee = / | cov Gud 295 VER 100 y= 4 1 || c= Ww Geir Cove y= 2) Jamtsy 2 100 7 Aegnession Wwe x on 4 | hays cov (x39 | sy = es ~ 2.9 \o w= = bay Cy-g) Ca - = 2 =1s- & cose one comeany bs siven betoa i T | cla! cast SAleds - j | Ceanoer) [mean __|__29__ tbe Sp Wa — CO.WMeL, Coe. —— Ok — then fina @ ho th siednessidg rine O What shoud be ine ude cost ge = _Cithive Sure _temget SD an,I | — © I Rejnestom Ime —X om 4 | breve mm: Se = Os x 5 / {| ee 2 Olé we = bry cy-T) xX-20 = ©.16 CY-l20) Ks O1CY- 19.2 @ 20 —& = ol6y ta. =p as = byyo¢ CX 50) W-lrto = UC x n20)(©) ee O Sayed on Udd @& ot When add coor =2e2s eee neue eens sates = ucrs) 440 oe = \uo sales c SO Bke cost = 0.16 Cisn) +0. & 2 > aden Asani Gul of der oulls, eurmees Gear orerd als