1 Type Package Package leaigcuve Augus 29, 2016 Tile A Implemeaio of Cawfod's ad Wigh's Leaig Cuve Poducio Fucios Vesio 1.0 Dae A implemeaio of Cawfod's ad Wigh's leaig cuve poducio fucios. I povides ui ad cumulaive block esimaes fo ime (o cos) of uis alog wih a aggegae leaig cuve. I also povides dela ad eo fucios ad some basic leaig cuve ploig fucios. Licese MIT + file LICENSE RoxygeNoe Impos ggplo2 NeedsCompilaio o Auho Jaso Feels [au, ce], Badley Boehmke [au] Maiaie Jaso Feels Reposioy CRAN Dae/Publicaio :45:24 R opics documeed: agg_cuve ca_block ca_ui cum_eo dela lc_ae lc_ae_es aual_slope aual_slope_es plo_block_summay plo_dela
2 2 agg_cuve plo_ui_cuve ui_block_summay ui_cum_appx ui_cum_exac ui_cuve ui_midpoi Idex 15 agg_cuve Aggegae Leaig Cuve Compues he appoximae aggegae cumulaive leaig cuve fomula by calculaig he sum of all coibuig hous fom all depames fo all poducio uis 1 hough. agg_cuve(,,, a.m = FALSE) a.m veco of hous (o coss) fo he fis ui fom depames 1 hough m veco of hisoical leaig aes fo depames 1 hough m oal uis o be poduced acoss all depames Should NA values be emoved? ## No u: # A pojec is expeced o ge udeway soo o poduce 300 # widges. Thee depames will be ivolved. Hisoically, # hese depames have had leaig cuves of 85%, 87%, ad # 80% especively. The fis ui hous fo hese depames # have bee esimaed a 70, 45, ad 25 especively. Wha is # he oal pediced hous equied fo he eie effo? <- c(70, 45, 25) <- c(.85,.87,.8) agg_cuve( =, =, = 300) ##  ## Ed(No u)
3 ca_block 3 ca_block Wigh s Cumulaive Aveage Leaig Cuve Fucio Compues cumulaive ime o cos fo uis m hough i a poducio block usig Wigh s cumulaive aveage model. Assumes he block begis a ui m ad eds a ui. ca_block(,,, m = 1, a.m = FALSE) ime (o cos) equied fo he mh ui of poducio las ui of he poducio block of coce leaig cuve ae m fis ui of he poducio block of coce (defaul: m = 1) a.m Should NA values be emoved? # Poducio of he fis 200 uis of a poduc is eaig is # ed. You cusome said he is willig o buy a addiioal 50 # uis. Thee will be o beak i poducio o i leaig. The # fis ui equied 75 hous ad he fis 200 uis had a 85% # leaig cuve. How may hous will he secod block of 50 uis # equie? ca_block( = 75, m = 201, = 250, =.85) ##  ca_ui Wigh s Cumulaive Aveage Ui Leaig Cuve Fucio Compues he ime (o cos) equied fo a specific ui usig Wigh s cumulaive aveage model. ca_ui(,,, m = 1, a.m = FALSE)
4 4 cum_eo ime (o cos) equied fo he mh ui of poducio h ui you wish o pedic he ime (o cos) fo leaig cuve ae m mh ui fo which you have ime (o cos) ifomaio (defaul is m = 1) a.m Should NA values be emoved? # A esimao wa o kow he ui hous fo ui 2,200 usig # whe he hous fo ui 1 wee 110 ad he leaig ae was # 88.5%. ca_ui( = 110, m = 1, = 2200, =.885) ##  cum_eo Appoximae Pedicio Eo Compues appoximae pece eo i cumulaive ime (o cos) due o a icoec choice of leaig cuve ae. The oupu povides he measue of eo whe leaig cuve 1 is eoeously chose whe 2 should have bee chose. I is he aio of he acual cumulaive esuls based o he ealized leaig cuve o he pediced cumulaive esuls based o he eoeously used leaig ae. cum_eo(, 1, 2) 1 2 cummulaive uis i he poducio quaiy oigial leaig cuve ae (aka eoeously used leaig cuve ae) leaig cuve ae o compae o 1 (aka ealized leaig cuve ae) # A esimao is pedicig hous fo a block of 250 uis. Hisoically, # he ogaizaio has had a leaig ae bewee 85-87%. Wha is he # poeial eo i he pedicio by usig oe of hese wo leaig # aes (85% vs. 87%)? If you go wih a leaig ae of 85% ad he # ogaizaio pefoms a a leaig ae of 87% he he eo would # be 20%. cum_eo( = 250, 1 =.85, 2 =.87) ## 
5 dela 5 dela Cawfod vs. Wigh Ui Diffeece Compues he diffeece bewee he ui o cumulaive pedicio esimaes povided by he Cawfod ad Wigh models. dela(, m,,, level = "u") ime (o cos) equied o poduce he fis ui m mh ui fo which you have ime (o cos) ifomaio (defaul is m = 1) level he h ui you wish o pedic he ime (o cos) fo whe compaig ui pedicios o he las ui i he block whe compaig cumulaive ime (o coss) leaig cuve ae calculae ui ("u") vesus cumulaive ("c") diffeeces (defaul = "u") # The fis ui of poducio is expeced o equie 50 hous ad # he leaig ae is expeced o be 88.5%. Howeve, he esimao # is o sue whehe he leaig ae is based o he ui model # o cumulaive aveage model ad was o udesad he diffeece # bewee poeial oucomes fo each ui. # diffeeces bewee pe ui ime equiemes dela( = 50, m = 1, = 25, =.885) ##  ##  ##  # diffeeces bewee cumulaive ui ime equiemes dela( = 50, m = 1, = 25, =.885, level = "c") ##  ##  ##  ## 
6 6 lc_ae_es lc_ae Leaig Rae Covee Compues he leaig ae fo give aual slopes lc_ae(b, a.m = FALSE) b a.m aual slope Should NA values be emoved? # Calculae he leaig aes fo aual slopes -.19, -.22, -.25 lc_ae(b = c(-.19, -.22, -.25)) ##  lc_ae_es Leaig Rae Esimae Compues he leaig ae based o oal ime (cos) o poduce he fis uis, ime (cos) equied fo he fis ui ad oal uis poduced. lc_ae_es(t,, ) T oal ime (o cos) equied o poduce he fis uis ime (o cos) equied o poduce he fis ui oal uis poduced
7 aual_slope 7 # Esimae he leaig cuve ae fo 250 uis whe he ime # fo ui oe ook 80 hous ad he oal ime fo all 250 # uis ook 8,250 hous. lc_ae_es(t = 8250, = 80, = 250) ##  aual_slope Naual Slope Rae Covee Compues he aual slope ae fo give leaig aes aual_slope(, a.m = FALSE) a.m leaig cuve ae Should NA values be emoved? # Calculae he aual slope fo leaig aes of 80%, 85%, 90% aual_slope( = c(.80,.85,.90)) ##  aual_slope_es Naual Slope Esimae Compues he aual slope based o oal ime (cos) o poduce he fis uis, ime (cos) equied fo he fis ui ad oal uis poduced. aual_slope_es(t,, )
8 8 plo_block_summay T oal ime (o cos) equied o poduce he fis uis ime (o cos) equied o poduce he fis ui oal uis poduced # Esimae he aual slope fo 250 uis whe he ime fo ui # oe ook 80 hous ad he oal ime fo all 250 uis ook # 8,250 hous. aual_slope_es(t = 8250, = 80, = 250) ##  plo_block_summay Block Summay Plo Plos he Cawfod ui leaig cuve fo he poducio block coaiig uis m hough (iclusive) while highlighig midpoi values. plo_block_summay(, m,, ) ime (o cos) equied fo he mh ui of poducio m mh ui fo which you have ime (o cos) ifomaio (defaul is m = 1) h (las) ui of poducio i he poducio block of coce ( > m) leaig cuve ae # A poducio block us fom ui 201 o ui 500 iclusive. # The 201s ui had a equied ime of 125 hous wih a 75% # leaig cuve. Plo he block summay? plo_block_summay( = 125, m = 201, = 500, =.75)
9 plo_dela 9 plo_dela Cawfod vs. Wigh Dela Plo Plos he dela of hous (o cos) pe ui bewee Cawfod s ui model ad Wigh s cumulaive aveage model. plo_dela(, m,,, level = "u") ime (o cos) equied o poduce he mh ui m mh ui fo which you have ime (o cos) ifomaio (defaul is m = 1) level he h ui you wish o pedic he ime (o cos) fo whe compaig ui pedicios o he las ui i he block whe compaig cumulaive ime (o coss) leaig cuve ae plo he dela bewee he Cawfod ad Wigh models a he ui ("u") o cumulaive ("c") level # The fis ui of poducio is expeced o equie 50 hous ad # he leaig ae is expeced o be 88.5%. Howeve, he esimao # is o sue whehe he leaig ae is based o he ui model # o cumulaive aveage model ad was o udesad he diffeece # bewee poeial oucomes fo each ui. # Plo he diffeeces bewee pe ui ime equiemes plo_dela( = 50, m = 1, = 25, =.885) # Plo he diffeeces bewee cumulaive ime equiemes plo_dela( = 50, m = 1, = 25, =.885, level = "c") plo_ui_cuve Leaig Cuve Plo Plos he leaig cuve fo uis m hough. Allows you o choose bewee he Cawfod ad Wigh models ad also bewee a ui level plo o a cumulaive level plo.
10 10 ui_block_summay plo_ui_cuve(, m,,, model = "u", level = "u") ime (o cos) equied fo he mh ui of poducio m mh ui fo which you have ime (o cos) ifomaio (defaul is m = 1) h ui of poducio you wish o plo he leaig cuve hough ( > m) model level leaig cuve ae choose bewee he Cawfod ("u") o Wigh ("ca") models o plo boh models wih "boh" plo he leaig cuve a he ui ("u") o cumulaive ("c") level # libay(leaigcuve) # A esimao was o plo he leaig cuve fo fo uis # oe hough 125 whee he fis ui equies 100 hous ad # he leaig ae is 85%. # plo he ime (o cos) pe ui based o Cawfod's Ui # Leaig Cuve Fucio #' plo_ui_cuve( = 100, m = 1, = 125, =.85) # plo he cumulaive ime (o cos) pe ui based o Cawfod's # Ui Leaig Cuve Fucio #' plo_ui_cuve( = 100, m = 1, = 125, =.85, level = "c") # plo he ime (o cos) pe ui based o Wigh's Cumulaive # Aveage Leaig Cuve Fucio #' plo_ui_cuve( = 100, m = 1, = 125, =.85, model = "ca") # plo he cumulaive ime (o cos) pe ui based o Wighs's # Cumulaive Aveage Leaig Cuve Fucio #' plo_ui_cuve( = 100, m = 1, = 125, =.85, model = "ca", level = "c") ui_block_summay Block Summay Fucio Povides summay ifomaio fo he block coaiig uis m hough (whee > m). Based o Cawfod s ui leaig cuve model. ui_block_summay(, m,,, a.m = FALSE)
11 ui_cum_appx 11 m a.m ime fo he mh ui lowe boud ui of poducio block uppe boud ui of poducio block leaig cuve ae Should NA values be emoved? # A poducio block us fom ui 201 o ui 500 iclusive. # The 201s ui had a equied ime of 125 hous wih a 75% # leaig cuve, wha is he block summay? ui_block_summay( = 125, m = 201, = 500, =.75) ## $ block uis ##  300 ## $ block hous ##  ## $ midpoi ui ##  ## $ midpoi hous ##  ui_cum_appx Appoximae Cumulaive Ui Leaig Cuve Fucio Povides he appoximae cumulaive ime o cos equied fo uis m hough (iclusive) usig he Cawfod ui model. Povides ealy he exac oupu as ui_cum_exac(), usually oly off by 1-2 uis bu educes compuaioal ime dasically if yig o calculae cumulaive hous (coss) fo ove a millio uis. ui_cum_appx(,,, m = 1, a.m = FALSE) m a.m ime (o cos) equied fo he mh ui of poducio The ui you wish o pedic he cumulaive ime (o cos) o leaig cuve ae mh ui of poducio (defaul se o 1s poducio ui) Should NA values be emoved?
12 12 ui_cum_exac libay(leaigcuve) # A esimao believes ha he fis ui of a poduc will # equie 100 labo hous. How may oal hous will be equied # fo 125 uis give he ogaizaio has hisoically expeieced # a 85% leaig cuve? ui_cum_exac( = 100, = 125, =.85) ##  # Compuaioal diffeece bewee ui_cum_exac() ad ui_cum_appx() # fo 1 millio uis sysem.ime(ui_cum_exac( = 100, = , =.85)) ## use sysem elapsed ## sysem.ime(ui_cum_appx( = 100, = , =.85)) ## use sysem elapsed ## ui_cum_exac Exac Cumulaive Ui Leaig Cuve Fucio Povides he exac cumulaive ime o cos equied fo uis m hough (iclusive) usig he Cawfod ui model ui_cum_exac(,,, m = 1, a.m = FALSE) m a.m ime (o cos) equied fo he mh ui of poducio The ui you wish o pedic he cumulaive ime (o cos) o leaig cuve ae mh ui of poducio (defaul se o 1s poducio ui) Should NA values be emoved? libay(leaigcuve) # A esimao believes ha he fis ui of a poduc will # equie 100 labo hous. How may oal hous will be equied # fo 125 uis give he ogaizaio has hisoically expeieced # a 85% leaig cuve?
13 ui_cuve 13 ui_cum_exac( = 100, = 125, =.85) ##  ui_cuve Cawfod s Ui Leaig Cuve Fucio Pedics he ime o cos of he h ui give he ime of he mh ui ad he leaig ae ui_cuve(,,, m = 1, a.m = FALSE) m a.m ime (o cos) equied fo he mh ui of poducio h ui you wish o pedic he ime (o cos) fo leaig cuve ae mh ui of poducio (defaul se o 1s poducio ui) Should NA values be emoved? libay(leaigcuve) # A esimao believes ha he fis ui of a poduc will # equie 100 labo hous. How may hous will he 125h ui # equie give he ogaizaio has hisoically expeieced # a 85% leaig cuve? ui_cuve( = 100, m = 1, = 125, =.85) ##  # If he esimao was o assess he hous equied fo he # 125 ui give muliple leaig cuve aes <- c(.8,.85,.9,.95) ui_cuve( = 100, m = 1, = 125, = ) ##  # If he esimao has he ime equied fo he 100h ui ui_cuve( = 100, m = 100, = 125, =.85) ## 
14 14 ui_midpoi ui_midpoi Midpoi Ui Fucio Povides he so-called "midpoi" o aveage ui bewee uis m ad (whee > m). Based o Cawfod s ui leaig cuve model. ui_midpoi(m,,, a.m = FALSE) m a.m lowe boud ui of poducio uppe boud ui of poducio leaig cuve ae Should NA values be emoved? # If a poducio block us fom ui 201 o ui 500 iclusive # wih a 75% leaig cuve, wha is he midpoi ui? ui_midpoi(m = 201, = 500, =.75) ## 
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Chapte 8, Rotational Kinematics Sections 1 3 only Rotational motion and angula displacement Angula velocity and angula acceleation Equations of otational kinematics 1 Angula Displacement! B l A The length
Chapte. he net foce on the satellite is F = G Mm and this plays the ole of the centipetal foce on the satellite i.e. mv mv. Equating the two gives = G Mm i.e. v = G M. Fo cicula motion we have that v =!
REVIEW ARTICLE TRENDS i Spor Scieces 014; 1(1: 19-5. ISSN 99-9590 The eed o repor effec size esimaes revisied. A overview of some recommeded measures of effec size MACIEJ TOMCZAK 1, EWA TOMCZAK Rece years
Chapte Two Some text, some maths and going loopy In this Chapte you ae going to: Lean how to do some moe with text. Get Python to do some maths fo you. Lean about how loops wok. Lean lots of useful opeatos.
Standadized Coefficient Ta. How do ou decide which of the X ae mot impotant fo detemining? In thi handout, we dicu one poile (and contoveial) anwe to thi quetion - the tandadized egeion coefficient. Fomula.
Chaper 4 Reur ad Risk The objecives of his chaper are o eable you o:! Udersad ad calculae reurs as a measure of ecoomic efficiecy! Udersad he relaioships bewee prese value ad IRR ad YTM! Udersad how obai
Instuctions Economics 1 Micoeconomic Theoy I Final Exam June 008 Faculty of Ats and Sciences ueen s Univesity Anse Key The exam is thee hous in length. The exam consists of to sections: Section A has five
Model Question Pape Mathematics Class XII Time Allowed : 3 hous Maks: 100 Ma: Geneal Instuctions (i) The question pape consists of thee pats A, B and C. Each question of each pat is compulsoy. (ii) Pat
2WO08: Graphs and Algorihms Lecure 4 Dae: 26/2/2012 Insrucor: Nikhil Bansal The Circulaion Problem Scribe: Tom Slenders 1 The basic circulaion problem We will consider he max-flow problem again, bu his
The Capital Asset Picing odel Chapte 9 Capital Asset Picing odel CAP centepiece of moden finance gives the elationship that should be obseved between isk and etun of an asset it allows fo the evaluation
Morali Variance of he Presen Value (PV) of Fuure Annui Pamens Frank Y. Kang, Ph.D. Research Anals a Frank Russell Compan Absrac The variance of he presen value of fuure annui pamens plas an imporan role
Mechanics : Motion in a Cental Foce Field We now stud the popeties of a paticle of (constant) ass oving in a paticula tpe of foce field, a cental foce field. Cental foces ae ve ipotant in phsics and engineeing.
Lectue 17 Cicula Motion (Chapte 7) Angula Measue Angula Speed and Velocity Angula Acceleation We ve aleady dealt with cicula motion somewhat. Recall we leaned about centipetal acceleation: when you swing
Money Supply By the Bank of Canada and Inteest Rate Detemination Open Opeations and Monetay Tansmission Mechanism The Cental Bank conducts monetay policy Bank of Canada is Canada's cental bank supevises
The Csio Expeiee Let us eteti you The Csio Expeiee If you e lookig fo get ight out, Csio Expeiee is just fo you. 10 The Stight Flush Expeiee 25 pe peso This is get itodutio to gmig tht sves you moey Kik
Marki Excess Reurn Credi Indices Guide for price based indices Sepember 2011 Marki Excess Reurn Credi Indices Guide for price based indices Conens Inroducion...3 Index Calculaion Mehodology...4 Semi-annual
CHAPTER 22 ASSET BASED FINANCING: LEASE, HIRE PURCHASE AND PROJECT FINANCING Q.1 Defie a lease. How does i differ from a hire purchase ad isalme sale? Wha are he cash flow cosequeces of a lease? Illusrae.
Grammar o go! Lesso Lik Lesso legh: 45 mis Aim: 1. o review he use of may, migh, could, mus ad ca o express possibiliy ad probabiliy 2. o review he use of may, migh ad could whe alkig abou possibiliy ad
Investos/Analysts Confeence: Accounting Wokshop Agenda Equity compensation plans New Income Statement impact on guidance Eanings Pe Shae Questions and answes IAC03 / a / 1 1 Equity compensation plans The
Expeiment MF Magnetic Foce Intoduction The magnetic foce on a cuent-caying conducto is basic to evey electic moto -- tuning the hands of electic watches and clocks, tanspoting tape in Walkmans, stating
Corporae Fiace [09-0345] 3. Cos o equiy. Cos o Deb. WACC. Cash lows Forecass Cash lows or equiyholders ad debors Cash lows or equiyholders Ecoomic Value Value o capial (equiy ad deb) - radiioal approach
Gaphs of Equations CHAT Pe-Calculus A coodinate sstem is a wa to gaphicall show the elationship between quantities. Definition: A solution of an equation in two vaiables and is an odeed pai (a, b) such