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LS AG he, Clo Semecs on two valet 229 Feeumolite, _Z of he decundit, yoke wale {fs then bow thas ehomae, CT apqeees one 7 fishers > Coekrient, of: covebation Gt vs a Kingle ro! tes ws whet extent » tho two ev more. UAvEOb Les are, Correlated or akoccetedt to eae, other BE olemb ted? > bay YY. - | Properties op. 4 i) Joe! value lef xX wamages from -} to +1. & thas 5 Ath BRS? web Leno. vate: -!.€ YE et, O).| 9t 6 emolepemoent of. Charge org Unl-o+) a).| 9t 4 imetebemedents let val we i 4 (_xore) wu). | 9 Yoo, thy two | varé I ane not Covryelated 5 v). of ve tl, there 4 Stvorg, ve __ carvelation | Hus aw fwo variakeesl \ vi) | of ye -1 | wee 6 a Abreg -ve correlation _ bw the two vartantel. Ye O-!| , tue 5 mokwate tevyelation ty Ww the two varéables: one Vvartabte (ee vil = rm of Covveh ation (j ~ Bait ‘§ negative Correlation: 3f tw 7 CE Scanned with OKEN Scanner - ff tim th vole of Qmpthiy variable alto. BeAr ey ver | vexp. gad thay 45 br y_ a t+ve & ve | tovselation: (i) | Sempte, Partin 5 mete fe Covrelatinn | i etal we fino outs volationsép 9 us dy two vorbahtes |, [a 2) as | Aearple Cervelation. ex Bocly _hetatt & boot, | weegnt- I whem we tind ot Crerationstaipl bad 3 two ey ioe vortobtes 9 8 bt 2 meltcble — covrelatipn: ew Bock, weiatt, L & ! fecundity wate d (/ 0 - whim we id exclude ene .vartabee trem 4 the _metltrple Carvel ation , then find but 1 te _yetatiemstib bf eo vest [Jol tee vortartes , Lt ge add as On Ra) Chrvelation, | (iti . Leneay & Neon - _Wnyeo Correlation : = when the vatlo Yo we two variabecs Kb. Same Osrougoout _ wb 6 cof x By lim Coy Correlation, x! Ix f2 [4 [el «| i Ly 13 | 6 | 2 | w] a IK __a7ath 6 a Koroigny Line. “3 whe, | thy rato aA the two Vartabtes a B mot same Wroumput » kb 5 ol ay 7 mm ~- Umeay Corre ation! a al 2t4lel] wo] 7 io) { alal uy] Sarva - IR _srefh> 5b a Curveof Line. r pY__- Vl L Sfearmam’ 5 vonk. Cevvelation : Hb a metlwof e 48 useof Lo d CHEUL CLEP the Coefewent of __Covvelat- = ton Yu we two variates. Hove CE Scanned with OKEN Scanner > Reayession Bef Siiexe, Am ake seh -| a term Creare ssinn ombligsts way i Ceimert _tng_ Ss Promeis “Gatton ett & =) 9b 6 defemeo? os thy methoof im a ~ thy estimbleed value of me variable F —_____| Can be cokeutated boro he aver volte of Amo thoy vorbobee, It S T wefresemtec! bey Une hn as respesston 7. Lime, © 8 YY tue WW) Reanexpion Lime! of xX _off! ¥ gt gues td) Dest fo e MLO velue of aa X__evey __a _qevem __votuues of / J ] Z| (x- xX) 2 bo Ly-¥) “i Mere beer S Y. SP an Y SD y ye Cotttveremt of” _ tovvehation | rr Sdu> Ibtanctare | duration of v 5 SDy = o 4 al % 7 Tams d 7 A) [it]. P eonession Line of Yo om X: 9 ares the _ bit possthte | ameam vatue of VY puey r a quuen _ voles of xX. i] 7 Cly= v= bee! Cx ~ %) tere. Bayne Jy. Spy r ( SD "i V2 Welt wont 4 Crrvehation Sdu = btamefowel | cewvatinn of _Y- T Sth : hy. 7 i CE Scanned with OKEN Scanner 4-16 (X= 26.7) ~ 506-4 = 4b xX - Hl OF2 YG X ~ I/-0F2 + S06-4 416K + 394-3 Y y _ Yo wib(g2) + 397-3 Ys y 5 " Fi 5% +. 3943 N = Yee: 63 cae DB. ' £@) | Extomate \ te value f icyoh ytd ( ¥) ween H voinpal £{X).2. 50 em! rd, of = Go l(O KX + 29% +3 rave y= YWl6( 50) + 39753 i _ Ye Z0G + BFF ys 605 +3 —— gp — Estimate > the il (x) whem ev wyierof [ty] fae. il 4 CE Scanned with OKEN Scanner i a a . buy = 0:69 [ 15) i Cite | 5 = 0093 ‘a X= $6 = 0093 ( y~- 62) X= 5:6% » 0-093 Y - 8: 766 J Xs 0-093 y - 5.366 4 S-6 4 X = 0:093( Yo) - 0-166 Xs 6:51 - 0+ 166 7 X= be 9. 5 | Y-Yoe bux (xX * hey > xl SD 1 | ¢ SOx , | - 0.62 . fito .\ i | Crs / 7} “9% = 4g - 1 Y= 6 = yury [ y ~- 5-6) Yo67 = Wig - 93-0F Ye Yin ( 46) - 93 -0F + 62 ] Ys O95 +.3@. 93, Y = 5: \68 3 LU saitwisgicns Cocttcerrenk, + L = ad) 6 a44O Kel » aw Atofe Wet celent: FE 6 Ata ply hy amlount [le is onrttr-plice? Paes vertabee (x) te ger i we value of - amottey ‘Vaviakee (4) Y= Y=. !bun (e- %) > Remrenion Lo gf Yn x [.A: Hee Y 5 O ctefenofemt vankatly, / & xX 6 indlehomefent vortahee- hye» wresinresthihion eoetfrevent of» Yen X. i] / if f¢ | X= xX = bun ( y-¥ ) > Regwrenistim ang Km ¥. CE Scanned with OKEN Scanner a Hove, xX 5 cafemelent. wrtable x Y38 Enctefbon den? variable 4 bw4 + regpession Coclft event 4 X om Y. 5 5 bow = YY Oy 2 Seomare havatrorn 4 y Ly Seanelavel ctwration fy. Z 4 > hoy = Y. Ou 7 d Ox Ye Cocthrerent a Conelatin | ¢ al I 1 Regression Cocffcerent, ». .kelermines the KLofe ofl me 2!" 8 change tee chepene TV cemt __vartabte tov U ee unit chiar 7, on the imdepomdeht\ vartabee. ¢ Rearessinn colcciemt, Stories the q amount byl’ | chame U Din X musts + bem ‘ptiecl! & ave! he lorresponelira Avenaxe (cthamae, a vy b / ¢ L Prop exes af. ( reat sion cocferenL: Reovesion | Cooftterz, 6 | cemnted bb | ge Us cxpreciial tm we toon of V aa ox tein at, rift of fata | i im).| If Y Lino variables K ave? there, Aas YY & VAL tise values. of yeareshinn coefficient, ane, btaineo o C weer be |" ohtiainesd! wag coefhceient, ef Yom Xb vefy ¥ yl | bua & Kom Yt hey my, w). Ye, od, rearessinn —— - coeppeenlinty onbest j howe Barre Avan "9p bee _tve > tam bu, tee Vato vel wel & oe 2 rue for veee - Versa. i CE Scanned with OKEN Scanner — + cia 2 oy f Ow. + Ou» hk 7 Zz Z . a es Ee am o bps = oY ( Ow + 64? I x vk 26x65 _ Simee we Brew. . a (a-4) "= a+b = fab PO Ox ~ 64) ~ Oxy + Gy? = 20x 54 > am Oe + 64% - 4 Ox 0 ZO oh Ox + re x» (4 Ox Oy ) | TT Ox + 6y> > | — Fh 2 OX of, 7d 4 X ing DLs hey oy v ¢ 1 ¥[{ +6) y ¥ 1 ¢ T m4 + beypx, z i 2 i Y. L ANOVA : : : Ametyts of \Jandance, It was. protofel be] AR. Fixeber- # Here tlw | Mvonant ihe, Ein 2 sarhte & Amr ty HQ2 b caleutaloot: T _ Vartame Hw we boar fUs L Fe MSC . mean sum of sguarvey Yw scbras q MSE Metin sum Hf Sansren tin Sarmple 7 5 ued t oteeg! 4 ware pS PTS ae Weta, maeeefer’ ffoene) CE Scanned with OKEN Scanner 4 q A f/f — C0) | frmnpee A Sample B ample _C y__| ‘6 ly _ lig a lo 5 g 1 Y {0 (3 yo Go 9 Ci] | i i Ly 1 Cajeuteze—«sF. ten tan 7: Sorte f Srmpte B Lample C / @ y la LL fe) 5 G , 4 (0 1 {4 9 49 kL {} gq ly 1), Beat 50 4o bo ' ' Z) Catent ate mean of Samples Ya = 50 = | 10 / _ ‘g XB = 4o = 8 Xe = = 13 ill. Grand mean X > wt zig. 3, (10 3 3 TW, | Seem 4 Seuanes st vamatiin fw Seon hts ( $8 e) rege 5 Ses yy. 2( % - xX) | > a 51 ( lo-to) 4 (@=1e)fo-we) | S = S(y +4) = 2 ao. CE Scanned with OKEN Scanner n = Sof Cove A Sable B & oo! a |_ /Z0 Mig = r to 13 > | a : 17 16. tw : 12 1s HD dus) 80 7 = oO _ s&s Le x, x | A= 80 XR= Fo Xe =< $5 | 5 re Se | = 16 a IG = /f n it} Grams | mean 7 XY lo +4 +4) = YI = 13-6 i) 3 3 I}— we av tm of begun a ‘we 7 | Spessere 4 vaxvamee Yu Sammpees ( 8c) SSC = YE ( mM = x) L = S| (1b-13-6) 4 (14 ~ 13.6)" 4 (U-1366)" ] 2 5 (576 4 oh + 6-76) 63-4 SI Sum 4 Rgttive) PV AnVam Sy thw : ce samp (¢s¢) Tt MSE Zz ( Xi - a = | ( 6-90)" + (16-1) + (16-19). (bom V+ (16-16) + (y= 14)" + (14-13) + Cee re) + Cee = (14-4 » ES ) t (ue) Cireis)* * Crepol™ + Cry ir)*+ Cu-¢)\* = (64+ 36+ Itt + 9541 +49 Uy WSH+U Efe 164 36 Fe ere CE Scanned with OKEN Scanner ff = 146 a ) nm Source 4 || Sum fq « | pegrees ef | mem sguanes | Fistntistre a aneun vartation| | b/w somber | fiedem (eli) [ C i] i S5t Low 1; Blur somples|| 63.Y 3-12 9 _ va 3)+F mse | MSC . 2p oF a Cin Samply [76 ty - 2 [ H ae = 146 MSE tye MSL = oly =— IE CE Scanned with OKEN Scanner