5

# 1. Suppose you have one continuous predictor X and binary categorical rcsponse Y which can takc valucs or 2. Suppose you collected train- ing data from the two clas...

## Question

1. Suppose you have one continuous predictor X and binary categorical rcsponse Y which can takc valucs or 2. Suppose you collected train- ing data from the two classes and obtained class-specific sample means and p2 along  with the pooled variance estimatc over the two classcs_ 1. (AOpt total, Spt for cach question) Assume equal class priors and derive the LDA classification rule for this problem_ Sketch the estimatcd class-conditional densitics and show your decision boundary on the plot Make sure you labcl the axes and indicate the numcrical valuc for the boundary; let'$call it Suppose the estimates were in fact obtained from 100 training points among which 40 were from class and 60 wcrc from class Suppose now you will estimate class priors from data, repeat all the calculations in part and obtain new boundary valuc, let s call it : Without actually doing this would you be able to tell whether will be thc same as less than Or greater than is there no way to tell? Explain your answer without calculating Note: It s ok to recheck your answer once YOu have actually calculate in part (c); but your explanation must not involve the numcrical valuc Now calculate the new boundary value â‚¬ described in Part (6). Suppose in addition to the pooled covariance value &2 now tell you the individual class specific covariances wCrC estimated = 0.25 and 63 =15. Based on this nw information_ would yoU recommend using LDA or QDA and why? Derive the QDA rule for purt (d) , assuming equal class priors.  ## Answers #### Similar Solved Questions 2 answers ##### I engch of the 1 cune 21 Jipcints normal 1 N(O) 1 3 Alcos(0) , sin(0))Nathv{1) Galculate 1 r(t) 1 A (5t , Je Ocid1 https / L Solulicn TCucath Picc Aobhecnuaovamteni1 acceleralion 1 RcaacaOF AteeNLInterval11(Rouno131 I engch of the 1 cune 2 1 Jipcints normal 1 N(O) 1 3 Alcos(0) , sin(0)) Nath v{1) Galculate 1 r(t) 1 A (5t , Je Ocid 1 https / L Solulicn TCucath Picc Aobhecnuaovamteni 1 acceleralion 1 RcaacaOF Atee NL Interval 1 1 (Rouno 1 3 1... 4 answers ##### CoPTRiGHT 1998 Sigma-Aldnich CoUnknown$- 53LorichALL RIGHTS RESERVEDAnnonton(pamtNuclear Magnetic Resonance SpectrumMass Spectral DataMass Spectral Data Parent Peak 152 mlz Base Peak 152 mlzIntensity 100 Intensity 100 %Notes: The "Parent Peak" gives the molecular weight of the compound_ The "Base Peak" is the largest peak in the spectrum_ The "P+n" Peaks (if any), give isotope information:
CoPTRiGHT 1998 Sigma-Aldnich Co Unknown \$- 53 Lorich ALL RIGHTS RESERVED Annonton (pamt Nuclear Magnetic Resonance Spectrum Mass Spectral Data Mass Spectral Data Parent Peak 152 mlz Base Peak 152 mlz Intensity 100 Intensity 100 % Notes: The "Parent Peak" gives the molecular weight of the c...
##### The standard model of particle physics (see image below) states that 17 elementary particles (6 Quarks 6 Leptons, & 5 Bosons= compose the subatomic particles that constitute matter:STANDARD MODEL OF ELEMENTARY PARTICLESILIONOFigure l: The standard modelHow many different subatomic particles can be composed of any 3 quarks? How many different subatomic particles can be composed of 1 or 2 quarks?
The standard model of particle physics (see image below) states that 17 elementary particles (6 Quarks 6 Leptons, & 5 Bosons= compose the subatomic particles that constitute matter: STANDARD MODEL OF ELEMENTARY PARTICLES ILIONO Figure l: The standard model How many different subatomic particles ...
##### A technician services mailing machines at companies in the Phoenix area_ Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours The different types of malfunctions occur at the same frequency: If required, round your answers to two decimal places_ Develop probability distribution for the duration of a service call;Duration of Call f(z)
A technician services mailing machines at companies in the Phoenix area_ Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours The different types of malfunctions occur at the same frequency: If required, round your answers to two decimal places_ Develop probability dis...
##### Find the equation of the tangent to the graph at the indicated point, HINT [Compute the derivative algebralcally; then see Example 2(b) in Section 10.5.]fx)9x;
Find the equation of the tangent to the graph at the indicated point, HINT [Compute the derivative algebralcally; then see Example 2(b) in Section 10.5.] fx) 9x;...
##### Organic Functional GroupsPart AClassity each molecule as an amine, amide_ Drag each item to the appropriate bin:neitner:View Available Hint(s)AcsctCH;CHz CH;CH;C NCH3 CH;CHzaic-CH,CH;CH;CH-COcH_CH;CCH_CH;CHCH-CH;AmineAmideNeither amine nor amide
Organic Functional Groups Part A Classity each molecule as an amine, amide_ Drag each item to the appropriate bin: neitner: View Available Hint(s) Acsct CH;CHz CH;CH;C NCH3 CH;CHz aic- CH,CH;CH;CH-COcH_ CH;CCH_CH; CHCH-CH; Amine Amide Neither amine nor amide...
##### Find the inverse of the function: f(x) 8x + 3 (5 marks)
Find the inverse of the function: f(x) 8x + 3 (5 marks)...
##### Evaluate the following expressions.x2 (d) dx x + 5 cIn 3 (e) et-er dxK e(+e*)76s, dx(g)e*10"dx(b)UV1 +u2dudx(h) (E) J6 (-[l)dt, where [t] is the greatest integer <tV1 -z2(c) fo+1)2"_ 1 21)3/4dxdx 212 +1
Evaluate the following expressions. x2 (d) dx x + 5 cIn 3 (e) et-er dx K e(+e*)76s, dx (g) e*10"dx (b) UV1 +u2du dx (h) (E) J6 (-[l)dt, where [t] is the greatest integer <t V1 -z2 (c) fo+1)2"_ 1 21)3/4dx dx 212 +1...
##### Cmullso yLudtul etn - Mum D} nntuln017 40 Idl Fnint Finidolain Itene detteeatce (naltael'ul ralml'outeennbune nuattrtut ,HaleehrnnnitattIecLale MD
cmullso y Ludtul etn - Mum D} nntuln 017 40 Idl Fnint Finidolain Itene detteeatce (naltael'ul ralml'oute ennbune nuattrtut , Haleehrnnnitatt IecLale MD...
##### The soluton Select - 0f tne dnterentl 5 the correct answers cquation y Y=c+e'' / Y=c+ 6+" y = ce*y =ce y = ce"The autonomous differential equation Select the correct answer.xk-1)(x + [) has solution that isincreasing everywhere increasing ifx > increasing if 0 < x < 1 d. decreasing if-1 <x < 0 decreasing everywhere equation dx =x(l ~x), the critical poi In the autonomous differential dt
The soluton Select - 0f tne dnterentl 5 the correct answers cquation y Y=c+e'' / Y=c+ 6+" y = ce* y =ce y = ce" The autonomous differential equation Select the correct answer. xk-1)(x + [) has solution that is increasing everywhere increasing ifx > increasing if 0 < x < ...
##### DuleSalaoutsJ6tone SALI bOlution CONCENTRATION DETERMINING Chamcolacuyt ETalntan oolltArc PART Tecbn Foxponmoril Con " a vorimo cnneul te nculon_ Henu Tolanty. 7abs Meuaurman t Monduromont? Obauluntiout: Procodure; prtJed Fmntna Opon Ing simualon hmtt0 Lu eimulilon laola insbuctana nbol Iatrodicloly ~Uno obova Uack buf) loltinr onla ino worbcrch; CaCul wainh boat (In "0n Marootior") Jco-mll tcunulle 250-mL beuacr disposable pibot NnCl catc Iuo Max% ampty 100-mL volunta"ric Il
Dule Salaouts J6tone SALI bOlution CONCENTRATION DETERMINING Chamcolacuyt ETalntan oolltArc PART Tecbn Foxponmoril Con " a vorimo cnneul te nculon_ Henu Tolanty. 7abs Meuaurman t Monduromont? Obauluntiout: Procodure; prtJed Fmntna Opon Ing simualon hmtt0 Lu eimulilon laola insbuctana nbol Iatr...
##### Beginning with a 1.00 L solution of 0.200 M CsHsN: which of the following describes two methods to create buffer solution?Mcthod Add 0.200 moles of CsHaNCI or Method II: add 0.100 molcs of HCIMcthod [: Add 0.100 molcs of CsH NCl or Method Il: add 0.400 moles of HCI Method # Add 0.100 moles of CaClz or Method Il: add 0.100 moles of HCI Method I: Add 0.100 moles of CsHaNCI or Method Il: add 0.200 moles of HCI Mcthod Add 0.200 molcs of NaOH or Mcthod II: add 0.100 moles of HICI
Beginning with a 1.00 L solution of 0.200 M CsHsN: which of the following describes two methods to create buffer solution? Mcthod Add 0.200 moles of CsHaNCI or Method II: add 0.100 molcs of HCI Mcthod [: Add 0.100 molcs of CsH NCl or Method Il: add 0.400 moles of HCI Method # Add 0.100 moles of CaCl...
##### Ihe Iollowing data are qiven fot & biogus digester suitable for the outpul Of six cows The volurne digester 6.7 m3 Ihereuer 945 holucer (s 3.1m' ard Ihe reterition lime 29 days . Find the helght ol gas hoklet Ilaht ol qas holdet
Ihe Iollowing data are qiven fot & biogus digester suitable for the outpul Of six cows The volurne digester 6.7 m3 Ihereuer 945 holucer (s 3.1m' ard Ihe reterition lime 29 days . Find the helght ol gas hoklet Ilaht ol qas holdet...
##### 5. Show that for Schwartz functions, if f is even;f(r) = 2F(8) cos(Er)dewhereF(E) =f(z) cos(â‚¬x)dxAlso give a corresponding formula for odd funetions. [To relate to the definitions in the book; you may want to do a change of variable 2tâ‚¬ &]
5. Show that for Schwartz functions, if f is even; f(r) = 2 F(8) cos(Er)de where F(E) = f(z) cos(â‚¬x)dx Also give a corresponding formula for odd funetions. [To relate to the definitions in the book; you may want to do a change of variable 2tâ‚¬ &]...
##### Zn ( 8 # (aq) reaction= 1 following| aq) 81 [ 105 t 55 Calculate AG 3 ( Ko
Zn ( 8 # (aq) reaction= 1 following| aq) 81 [ 105 t 55 Calculate AG 3 ( Ko...
##### Determine where the function g (x) = 4 + -41 is increasing and decreasing and where its graph is concave upward and coucave dowuward. Sketch the graph of the fuuction. Show as many key features aS possible (high and low points; points of inflection; vertical and horizontal asymptotess intercepts; CUSpS; vertical tangents)Part 1Separate multiple answers with commas If 40 such auswer exists; use the DNE button_The vertical asymptote(s) islare DNE and horizontal asymptote(s) islare Y=4 Express Your
Determine where the function g (x) = 4 + -41 is increasing and decreasing and where its graph is concave upward and coucave dowuward. Sketch the graph of the fuuction. Show as many key features aS possible (high and low points; points of inflection; vertical and horizontal asymptotess intercepts; CU...