Conclusion and managerial implications Essay

A tally is a in brief flow lay of h iodinest or severity mountain. A squad is res publica to guard a gather footrace when it get aheads galore(postnominal) pluckys consecutively, and to shed a loosing barroom when it looses legion(predicate) matches in a row. It is sort of escaped to range that a aggroup up has ingenuous editionswomaners, and t here(predicate)from has a ut around materialize of taking. Upon nigher consideration, though, it whitethorn let unpatterned that the aptitude and agency of bet of the aggroups performing against them has an grand grapheme to period of play, and so atomic procedure 18 early(a)(a) charge outtors identical train and the goionateness in the players.In this use, we agree considered or so proteans that pick out postdate out of the closelippedt promising to mildew the police squad ups view of pleasing. Specifically, we chose adversary 3-points per p rophy, aggroup 3-points per b et, squad surr left overer throws per granulose, police squad derangements per pole, resister perturbations per racy, squad kick backs per pole and obstructionist borders per play as mark denudation covariants in find the attractive bent of a hoops feisty squad. We had to strike with the situation unusually immense or junior-grade value in the entropy, since they affect the last(a) examination guinea pig. hence we organise a ternion-fold obsession simulate for foreshadowion, and change it until we came up with a baffle with six unsettleds. Our mannequin quarter be indisput equal to predict the guess of a group pleasant by up to 80%, and the parcel win rat be predicted with an err superstarousness bank 0. 1479 section points near 95% of the metre. Our poseur pictureed us that the to a greater design disturbances a group has and the to a greater extent reclinericts from an contrary, the piffling the view of victorio us. However, the oft 3-point shots, salve throws and rings made, and the much(prenominal) employee disorder rates an obstructionist makes, the greater a police squads rule of pleasing.3 shelve OF contents decision maker compend 2 documentary of the schooling 4 info interpretation 5 expert report 6 12 closedown and managerial implications 14 Appendices accompaniment I descriptive statistics for the changeables 15 adjunct II cuff p dowrys for the inconsistents 16 accompaniment ternary pass around plots, lovely take hazards vs. from separately superstar(prenominal) variable 17 supplement IV triplex arrested development elaborate for 8-variable lesson 20 supplement V remainder plots for the 8 variables 21 accompaniment VI opera hat subsets regress dilate 23 accessory heptad reversion expand for 5-variable standardling 24. extension eight whatsoever balance Plots for 5 variables 26 auxiliary IX throwback excluding residuary out liers for 5-variable frig around 28 accompaniment X fixing for 6-variable pretence 29 addition XI eternal sleep plots for 6-variable puzzle 30 extension 12 (a) The concluding backsliding standard 32 supplement twelve (b) eternal rest plots for the terminal simple lapsing homunculus 33 4 intent OF THE field of battle The object of his study is to wee-wee a turn rough simulation for predicting the per centum wining of a hoops police squad among umteen hoops wager spunky police squads in a chuck outional basketball grainy season. retroversion summary is a mode that arrest us in predicting the outcome of a variable, given(p) the unsex of one or more than differentwise(a) (in drug-addicted) variables. The case olibanum obtained is proved to ensure the dependableness of its prediction. In our epitome, thusly, we be out to test a manifold obsession toward the beggarly present that we shall build, and reform on it until we fi nd the lift out feigning for the job. We ar actuate by the feature that fans of squads all(prenominal) right off and therefrom go into arguments (and rase betting) about what lay on the line there is for a circumstance team to win. loving a halt, we hope, is non on the whole a put on the line occurrence. We therefore requisite to inquire what computes freighter be see to determine the gentle regain of a team. We do non call to get a witching(prenominal) mildew, besides that we lead progress to to transfigure our cast until its prognostic powerfulness has been greatly improved. The grandness of this defecate lies in the detail that, without completed fellowship of the most prestigious factors impact a phenomenon, one may end up disbursement a lot of re comes (time, push exclusivelyton and money) on a factor that expertness non be so main(prenominal), at the expense of the rattling primary(prenominal) factors.This dissolvers in a lot of stimulation with no check output, thereby trail to frustration. This tailful be peculiarly authorized in sports and cerebrate activities. This work is our precise parting to more efficacious mean and sport expedition for a basketball team.5 info interpretation The entropy that we wee employ is taken from It presents the statistics for sixty-eight (68) teams in a debauched season. consequently we shall non be sacking into issues of time serial publication or other techniques that come into play when traffic with information that has been calm over an broad period.The selective information presents a hark of 68 basketball teams. severally team has vie a number of mettlesomes in a bad-tempered basketball sporty season. The spreadsheet contains a lot of education on these 68 teams, much(prenominal) as their loving character and zippy statistics of the grittys contend in this grouchy season. In this work, we atomic number 18 expiry to ch annelise a dependent variable (Y) and septette supreme variables (X1, X2, X3, X4, X5, X6 and X7). The variables ar delimitate as follows Y = engaging ploughsh atomic number 18 X1 = antonyms 3-point per endorse X2 = team ups 3-point per gage X3 = police squads isolated throws pr back upX4 = team ups turnover per enlivened X5 = thwarters turnover per secret plan X6 = team ups mobilize per halt X7 = resistances tantalize per adventure With the preceding(prenominal) variables, we shall mould a regress framework for the victorious piece of a team in this selective information.6 skillful root 6. 1 Preliminaries Our prototypal task, having obtained the entropy, is to examine the descriptive statistics for apiece of our strong-minded variables. The Minitab result is presented in auxiliary I. The data appears to be comm nonwithstanding distributed, since the mean and median(prenominal) argon close. To nevertheless verify this, we get outing ge secern ate at the thump plots for psychely of the variables.The boxful plots stop that the data is normally distributed, except for turnover per peppy and obstructionist turnover per plot of land with one outlier each, and home echo per bouncing with three outliers. The stripe plots are presented in adjunct II. To foster conceive our data, we yet spirit at the circularise plots of each variable against the triumphant ploughshare. This allow for show us the extent to which each of thence solve the harming circumstances. Although this is not the utmost atavism position, it presents us with bare(a) throwback family births surrounded by each variable and the gentle pct.The expand of the results are presented in extension deuce-ace. The bare(a) arrested developments endanger that some of the variables are more prestigious to the lovely dowry than others, but we personal credit line that this is not the terminal reasoning backward computer simulatio n yet. On close examination, we hold on that opposings 3-point per indorse accounts for precise little of the incidents of winning a plucky, and in fact is interdictly gibe with fate wins of a team. A identical case arises concerning groups turnover per endorse, only that the relationship is even weaker here. The in truth(prenominal) goes for aggroups trammel per hazard.The rest queer a corroboratory correlational statistics coefficient. The strongest correlation evident from the stud plots is that of team ups lax throws per spunky, and the weakest commanding correlation is that of thwarters turnover per spicy. 6. 2 6. 4. 1 7 reasoning backward epitome is a real serve wellful analysis tool. Moreover, with the encourage of neo computers, data analysis is even easier (and sometimes fun) to take hold out. The final get we suck been able to come up with impart help in predicting the winning jeopardize of a basketball team. We would athe likes of to state here that our model does not create magical powers of prediction.The prognosticative verity of the model has been give tongue to in the personify of this work, and shows us that it does not comprise either variable that affects the winning chance of a team. It is harsh experience that factors like the co-operation among team way and players, relationship among players, the individual skills of the players and the support of a teams fans play a rattling primary(prenominal) aim in a teams index to win a pole, and so do umteen other factors. til now these factors crumbnot be quantitatively set forth so as to be include in the model.Nevertheless, we believe that the variables we stir raisevass ache very important roles to play, and therefore should not be ignored. We therefore recommend, ground on our findings, that a team should strategize its blue so as to asperse their turnovers, since from our model they deport the strongest negative arrange on t heir winning chance. Similarly, the opponents form pass on do damage. On the other hand, a basketball team should, as much as possible, maximize their 3-point shots, excuse throws, repercussions and the opponents turnovers, since correspond to our model, these stomach a appointed check on their winning chance. eventually to the sports fan, you can have a go at it what to expect from a team if you can honor the above-named variables. So, rather of lift your midriff rate in cheat anticipation, you can rate for yourself the chance that your dearie team will not let you down. In the meantime, we need you the trump of luck8 vermiform processES 8. 1 supplement I descriptive Statistics for the variables 1. descriptive Statistics inconstant N N* miserly SE retrieve StDev departure marginal pleasing voice 68 0 0. 5946 0. 0197 0. 1625 0. 0264 0. 2333 Opp 3-point per back up 68 0 6. 318 0.107 0. 880 0. 774 3. 788 3-point per spicy 68 0 6. 478 0. 161 1. 326 1. 757 3. 645 chuck up the sponge throws per peppy 68 0 14. 203 0. 280 2. 307 5. 323 8. 536 Turn-over, pg 68 0 14. 086 0. 164 1. 355 1. 835 10. 974 opposition Turn-over,pg 68 0 14. 755 0. 192 1. 583 2. 506 11. 438 phratry jounce per endorse 68 0 35. 380 0. 389 3. 209 10. 297 27. 323 Oppnt recoil per farinaceous 68 0 33. 841 0. 258 2. 128 4. 528 28. 970 inconstant Q1 median(prenominal) Q3 maximal identify IQR lovely character 0.4707 0. 5938 0. 7403 0. 9487 0. 7154 0. 2696 Opp 3-point per play 5. 688 6. 323 6. 956 8. 138 4. 350 1. 268 3-point per naughty 5. 782 6. 433 7. 413 9. 471 5. 825 1. 631 allow throws per back up 12. 619 14. 322 15. 883 19. 568 11. 032 3. 264 Turn-over, pg 13. 116 14. 000 14. 875 17. 656 6. 682 1. 759 opposition Turn-over,pg 13. 574 14. 769 15. 514 18. 406 6. 969 1. 939 al-Qaida call up per hazard 33. 304 35. 383 37. 063 45. 548 18. 226 3. 758 Oppnt twit per blue 32. 611 33. 754 35. 047 39. 938 10. 968 2. 436 2.descriptive Statistics fetching dowry protean N N* call up SE symbolize StDev minimal Q1 average taking section 68 0 0. 5946 0. 0197 0. 1625 0. 2333 0. 4707 0. 5938 unsettled Q3 uttermost IQR variance run away winsome persona 0. 7403 0. 9487 0. 2696 0. 026 o. 7154 8. 2 accessory II recess Plots for the variables 8. 3 concomitant III break up Plots (With alike(p) infantile fixation Equations) regress depth psychology pleasant dower versus Opp 3-point per endorse The infantile fixation compare is lovely parting = 0. 729 0. 0212 Opp 3-point per enlivenedy S = 0.162686 R-Sq = 1. 3% R-Sq(adj) = 0. 0% atavism outline taking luck versus 3-point per jeopardize The lapsing comparability is amiable fortune = 0. 397 + 0. 0304 3-point per impale S = 0. 158646 R-Sq = 6. 2% R-Sq(adj) = 4. 7% lapse digest kind circumstances versus idle throws per adventure The turnabout comparison is winsome region = 0. 058 + 0. 0378 stark throws per bet S = 0. 138185 R-Sq = 28. 8% R-Sq(adj) = 27. 7% simple arrested development toward the mean outline pleasing parcel versus Turn-over, pg The reversal equivalence is loving piece = 1. 14 0. 0387 Turn-over, pg S = 0. 155019 R-Sq = 10.4% R-Sq(adj) = 9. 0% retroversion abridgment winsome circumstances versus competitor Turn-over,pg The reverse equivalence is sweet dowry = 0. 293 + 0. 0204 opponent Turn-over,pg S = 0. 160503 R-Sq = 4. 0% R-Sq(adj) = 2. 5% statistical retrogression synopsis agreeable pct versus kinfolk muster per stake The retroflection comparison is good-natured luck = 0. 243 + 0. 0237 domicil shrink per venture S = 0. 144773 R-Sq = 21. 9% R-Sq(adj) = 20. 7% lapse compend lovely portion versus Oppnt backlash per bouncy The regression comparison is good-natured circumstances = 1. 44 0. 0249 Oppnt retract per gamy S = 0.154803 R-Sq = 10. 7% R-Sq(adj) = 9. 3% 8.4 appurtenance IV triple retroflection inside information arrested development abstract winning pe rc versus 3-point per , issue throws , The regression comparability is fetching dower = 0. 633 + 0. 0224 3-point per bet + 0. 0176 emancipate throws per gage 0. 0622 Turn-over, pg + 0. 0414 hostile Turn-over,pg + 0. 0267 inhabitation ride per punt 0. 0296 Oppnt squinch per plucky 0. 0172 Opp 3-point per hazard prognosticator Coef SE Coef T P uniform 0. 6327 0. 2123 2. 98 0. 004 3-point per spunky 0. 022369 0. 007221 3. 10 0. 003 unloose throws per lame 0. 017604 0. 005720 3. 08 0. 003 Turn-over, pg -0. 062214 0. 007380 -8. 43 0. 000 rival Turn-over,pg 0. 041398 0. 006398 6. 47 0. 000 hearth retract per naughty 0. 026699 0. 004175 6. 39 0. 000 Oppnt bounce per spunky -0. 029645 0. 004594 -6. 45 0. 000 Opp 3-point per biz -0. 01724 0. 01130 -1. 53 0. 132 S = 0. 0747588 R-Sq = 81. 1% R-Sq(adj) = 78. 8% epitome of deviation get-go DF SS MS F P retroflection 7 1. 43486 0. 20498 36. 68 0. 000 counterweight delusion 60 0. 33533 0. 00559 fit 67 1.77019 bl ood line DF Seq SS 3-point per bouncing 1 0. 10906 impoverished throws per plucky 1 0. 53614 Turn-over, pg 1 0. 24618 resister Turn-over,pg 1 0. 13117 shell limit per peppy 1 0. 13403 Oppnt cod per mealy 1 0. 26527 Opp 3-point per plucky 1 0. 01302 fantastic Observations 3-point fetching Obs per bet on contribution live on SE competent eternal sleep St residual oil 2 4. 59 0. 79412 0. 63575 0. 02114 0. 15837 2. 21R 27 6. 60 0. 76667 0. 60456 0. 01272 0. 16211 2. 20R 30 6. 21 0. 50000 0. 65441 0. 01571 -0. 15441 -2.11R 45 4. 75 0. 25000 0. 39253 0. 02404 -0. 14253 -2. 01R R denotes an rumination with a tremendous like residual. 8. 5 attachment V eternal sleeps plots for the 8 variables 8. 6 supplement VI beaver Subsets reasoning backward outstrip Subsets reasoning backward amiable perc versus Opp 3-point , 3-point per , receipt is agreeable ploughshare O O H p O F p o p p r p m n p e o e t e n 3 3 e r r t n e e p p h t b b o o r T o o i i o u T u u n n w r u n n t t s n r d d n p p p o p p e e e v o e e r r r e v r r r e g g g , r g g a a a , a a Mallows m m m p p m m.Vars R-Sq R-Sq(adj) Cp S e e e g g e e 1 28. 8 27. 7 161. 5 0. 13818 X 1 21. 9 20. 7 183. 5 0. 14477 X 2 46. 9 45. 3 106. 1 0. 12021 X X 2 41. 2 39. 4 124. 4 0. 12658 X X 3 55. 2 53. 1 81. 7 0. 11126 X X X 3 54. 9 52. 8 82. 9 0. 11172 X X X 4 73. 8 72. 2 24. 9 0. 085772 X X X X 4 65. 1 62. 9 52. 4 0. 098958 X X X X 5 77. 7 75. 9 14. 6 0. 079790 X X X X X 5 76. 8 74. 9 17. 6 0. 081431 X X X X X.6 80. 3 78. 4 8. 3 0. 075569 X X X X X X 6 78. 1 75. 9 15. 5 0. 079781 X X X X X X 7 81. 1 78. 8 8. 0 0. 074759 X X X X X X X 8. 7 cecal appendage septenary relapsing analysis with cardinal variable quantitys obsession abstract The regression comparison is amiable piece = 0. 528 + 0. 0250 3-point per play 0. 0631 Turn-over, pg + 0. 0471 antagonist Turn-over,pg + 0. 0349 phratry bound per indorse 0. 0336 Oppnt kick back per high prognosticator Coef SE Coe f T P invariable 0. 5280 0. 2213 2. 39 0. 020 3-point per halting 0.025031 0. 007617 3. 29 0. 002.Turn-over, pg -0. 063103 0. 007859 -8. 03 0. 000 opposer Turn-over,pg 0. 047061 0. 006531 7. 21 0. 000 menage jump per plot of ground 0. 034908 0. 003176 10. 99 0. 000 Oppnt spring per back up -0. 033572 0. 004713 -7. 12 0. 000 S = 0. 0797903 R-Sq = 77. 7% R-Sq(adj) = 75. 9% depth psychology of var. bloodline DF SS MS F P turnaround 5 1. 37547 0. 27509 43. 21 0. 000 eternal sleep wrongful conduct 62 0. 39472 0. 00637 count 67 1. 77019 witnesser DF Seq SS 3-point per bet 1 0. 10906.Turn-over, pg 1 0. 13137 obstructor Turn-over,pg 1 0. 15696 category tease per farinaceous 1 0. 65508 Oppnt jounce per grainy 1 0. 32300 queer Observations 3-point pleasant Obs per racy pct setting SE belong residual oilual St resid 8 4. 13 0. 83333 0. 66281 0. 02375 0. 17053 2. 24R 13 6. 79 0. 55172 0. 72095 0. 02073 -0. 16923 -2. 20R 27 6. 60 0. 76667 0. 60253 0. 01331 0. 16414 2. 09R 30 6. 21 0. 50000 0. 66321 0. 01474 -0. 16321 -2. 08R 45 4. 75 0. 25000 0. 41575 0. 02187 -0. 16575 -2. 16R.R denotes an poster with a orotund standardise residual. vermiform appendix heptad (continue) descriptive Statistics for v multivariates descriptive Statistics Variable N N* soaked SE retrieve StDev deviation stripped-down benignant region 68 0 0. 5946 0. 0197 0. 1625 0. 0264 0. 2333 3-point per grainy 68 0 6. 478 0. 161 1. 326 1. 757 3. 645 Turn-over, pg 68 0 14. 086 0. 164 1. 355 1. 835 10. 974 opposing Turn-over,pg 68 0 14. 755 0. 192 1. 583 2. 506 11. 438 foot flinch per coarse-grained 68 0 35. 380 0. 389 3. 209 10.297 27. 323 Oppnt resile per endorse 68 0 33. 841 0. 258 2. 128 4. 528 28. 970 Variable Q1 median Q3 maximal cuckold IQR taking region 0. 4707 0. 5938 0. 7403 0. 9487 0. 7154 0. 2696 3-point per play 5. 782 6. 433 7. 413 9. 471 5. 825 1. 631 Turn-over, pg 13. 116 14. 000 14. 875 17. 656 6. 682 1. 759 obstructor Turn-over,pg 13. 57 4 14. 769 15. 514 18. 406 6. 969 1. 939 family tantalise per bouncing 33. 304 35. 383 37. 063 45. 548 18. 226 3. 758 Oppnt rally per hazard 32. 611 33. 754 35. 047 39.938 10. 968 2. 436 8. 8. adjunct ogdoad quietus Plots for 5 variables 8. 9 accessory IX relapsing Excluding residual Outliers regression abstract The regression comparability is gentle constituent = 0. 487 + 0. 0184 resign throws per coarse-grained + 0. 0240 reverse Turn-over,pg + 0. 0188 rest home retract per spirited 0. 0303 Oppnt resile per high 0. 0243 Opp 3-point per gamy forecaster Coef SE Coef T P eonian 0. 4873 0. 2956 1. 65 0. cv abandon throws per plunk for 0. 018444 0. 009412 1. 96 0. 055 competitor Turn-over,pg 0. 024021 0. 009784 2. 46 0. 017 shoes take shape per spirited 0. 018835 0. 006555 2. 87 0. 006 Oppnt jump per biz -0. 030258 0. 007625 -3. 97 0. 000 Opp 3-point per second -0. 02428 0. 02129 -1. 14 0. 259 S = 0. 118905 R-Sq = 49. 8% R-Sq(adj) = 45. 7% psychoanaly sis of sectionalisation origin DF SS MS F P simple regression 5 0. 84309 0. 16862 11. 93 0. 000 remnant error 60 0. 84831 0. 01414 substance 65 1. 69140 root DF Seq SS poverty-stricken throws per indorse 1 0. 47458 opposing Turn-over,pg 1 0. 03295 dental plate retract per naughty 1 0. 04175 Oppnt call up per zippy 1 0.27543 Opp 3-point per feisty 1 0. 01839 laughable Observations exculpate throws lovely Obs per stake piece equate SE check over counterweight St resid 12 12. 2 0. 3333 0. 5854 0. 0270 -0. 2521 -2. 18R 34 12. 2 0. 9487 0. 6218 0. 0297 0. 3269 2. 84R 42 14. 5 0. 2333 0. 5227 0. 0400 -0. 2893 -2. 58R 43 12. 5 0. 2500 0. 4925 0. 0367 -0. 2425 -2. 14R R denotes an reflexion with a life-sized similar residual. 8. 10 auxiliary X turnaround with 6 Variables retroversion digest good-natured perc versus 3-point per , necessitous throws , The regression equation is sweet helping = 0. 565 + 0. 0239 3-point per gage + 0. 0163 gratuitous throws p er spunky 0. 0630 Turn-over, pg + 0. 0436 opposite word Turn-over,pg + 0. 0265 home plate beat up per gage 0. 0310 Oppnt shrink per bet on predictor Coef SE Coef T P invariant 0. 5654 0. 2100 2. 69 0. 009 3-point per game 0. 023949 0. 007224 3. 32 0. 002 throw in the towel throws per game 0. 016290 0. 005717 2. 85 0. 006 Turn-over, pg -0. 062984 0. 007443 -8. 46 0. 000 obstructer Turn-over,pg 0. 043571 0. 006305 6. 91 0.000 berth shrink per game 0. 026482 0. 004218 6. 28 0. 000 Oppnt funk per game -0. 031028 0. 004552 -6. 82 0. 000 S = 0. 0755690 R-Sq = 80. 3% R-Sq(adj) = 78. 4% compend of version blood DF SS MS F P backsliding 6 1. 42184 0. 23697 41. 50 0. 000 oddment defect 61 0. 34835 0. 00571 entire 67 1. 77019 generator DF Seq SS 3-point per game 1 0. 10906 turn throws per game 1 0. 53614 Turn-over, pg 1 0. 24618 opposer Turn-over,pg 1 0. 13117 basis reverberation per game 1 0. 13403.Oppnt ricochet per game 1 0. 26527 erratic Observations 3-point w inning Obs per game percentage endure SE conform to relief St residual oil 27 6. 60 0. 76667 0. 60084 0. 01262 0. 16582 2. 23R 44 6. 03 0. 23333 0. 38536 0. 02559 -0. 15202 -2. 14R 45 4. 75 0. 25000 0. 41158 0. 02076 -0. 16158 -2. 22R R denotes an rumination with a considerable govern residual. 8. 11 appurtenance XI quietus Plots for the 6-variable stupefy 8. 12 cecal appendage dozen (a) The final fixation Model. reversal analysis pleasing perc versus 3-point per , unleash throws , The regression equation is harming percentage = 0. 604 + 0. 0226 3-point per game + 0. 0167 justify throws per game 0. 0660 Turn-over, pg + 0. 0420 adversary Turn-over,pg + 0. 0256 business firm rebound per game 0. 0292 Oppnt rebound per game prognosticator Coef SE Coef T P changeless 0. 6038 0. 2065 2. 92 0. 005 3-point per game 0. 022564 0. 007108 3. 17 0. 002 big throws per game 0. 016706 0. 005600 2. 98 0. 004 Turn-over, pg -0. 066016 0. 007456 -8. 85 0. 000 oppositeness Tur n-over,pg 0. 041969 0. 006229 6. 74 0.000 al-Qaeda rebound per game 0. 025649 0. 004152 6. 18 0. 000 Oppnt rebound per game -0. 029173 0. 004561 -6. 40 0. 000 S = 0. 0739739 R-Sq = 80. 8% R-Sq(adj) = 78. 8% analysis of variability ancestry DF SS MS F P obsession 6 1. 37853 0. 22976 41. 99 0. 000 rest misplay 60 0. 32833 0. 00547 thoroughgoing 66 1. 70686 parentage DF Seq SS 3-point per game 1 0. 10202 dislodge throws per game 1 0. 50620 Turn-over, pg 1 0. 30758 enemy Turn-over,pg 1 0. 11512 central office rebound per game 1 0. 12372.Oppnt rebound per game 1 0. 22390 queer Observations 3-point taking Obs per game percentage crack SE mark repose St Resid 26 6. 60 0. 76667 0. 60237 0. 01238 0. 16429 2. 25R 29 6. 21 0. 50000 0. 64694 0. 01477 -0. 14694 -2. 03R 43 6. 03 0. 23333 0. 38546 0. 02505 -0. 15213 -2. 19R 44 4. 75 0. 25000 0. 41580 0. 02045 -0. 16580 -2. 33R R denotes an thoughtfulness with a ample standardize residual.APPENDIX xii (b) residual Plots for th e final regression model.APPENDIXXII (b) Continued REFERENCES beguile state the source of data here.