SlideShare a Scribd company logo
a. (5 points) Prove that Y^, the vector of fitted values, is normally distributed with mean X and
variance 2X(XX)1X. b. (5 points) Prove that pred =Yh(new)Y^h is normally distributed with the
mean 0 and variance 2(1+Xh(XX)1Xh).

More Related Content

More from admin447081

DEF Company also has preferred stock outstanding that pays a.pdf
DEF Company also has preferred stock outstanding that pays a.pdfDEF Company also has preferred stock outstanding that pays a.pdf
DEF Company also has preferred stock outstanding that pays a.pdf
admin447081
 
4 Explain the usage of each tool that you identified above.pdf
4 Explain the usage of each tool that you identified above.pdf4 Explain the usage of each tool that you identified above.pdf
4 Explain the usage of each tool that you identified above.pdf
admin447081
 
CASO INTEGRATIVO 30 IKEA estilo escandinavo Detrs de l.pdf
CASO INTEGRATIVO 30  IKEA estilo escandinavo  Detrs de l.pdfCASO INTEGRATIVO 30  IKEA estilo escandinavo  Detrs de l.pdf
CASO INTEGRATIVO 30 IKEA estilo escandinavo Detrs de l.pdf
admin447081
 
1 a Cul es el nombre de la esfera que se encuentra en e.pdf
1  a Cul es el nombre de la esfera que se encuentra en e.pdf1  a Cul es el nombre de la esfera que se encuentra en e.pdf
1 a Cul es el nombre de la esfera que se encuentra en e.pdf
admin447081
 
According to US Census data 716 of Americans are age 21.pdf
According to US Census data 716 of Americans are age 21.pdfAccording to US Census data 716 of Americans are age 21.pdf
According to US Census data 716 of Americans are age 21.pdf
admin447081
 
1 Sosyal medya pazarlamasn SMM kullanmann avantajlar ile .pdf
1 Sosyal medya pazarlamasn SMM kullanmann avantajlar ile .pdf1 Sosyal medya pazarlamasn SMM kullanmann avantajlar ile .pdf
1 Sosyal medya pazarlamasn SMM kullanmann avantajlar ile .pdf
admin447081
 
10 points Let continuous variables X1Xk be independentl.pdf
10 points Let continuous variables X1Xk be independentl.pdf10 points Let continuous variables X1Xk be independentl.pdf
10 points Let continuous variables X1Xk be independentl.pdf
admin447081
 
1 Provide three examples of automatic data classifications .pdf
1 Provide three examples of automatic data classifications .pdf1 Provide three examples of automatic data classifications .pdf
1 Provide three examples of automatic data classifications .pdf
admin447081
 
Theodore E Lariat is a single taxpayer born on September 22.pdf
Theodore E Lariat is a single taxpayer born on September 22.pdfTheodore E Lariat is a single taxpayer born on September 22.pdf
Theodore E Lariat is a single taxpayer born on September 22.pdf
admin447081
 
Use C++ for all 1 bool mapContainsKeysarrayltintgt nu.pdf
Use C++ for all  1 bool mapContainsKeysarrayltintgt nu.pdfUse C++ for all  1 bool mapContainsKeysarrayltintgt nu.pdf
Use C++ for all 1 bool mapContainsKeysarrayltintgt nu.pdf
admin447081
 
This code i would want to work ssh compiling for the this ta.pdf
This code i would want to work ssh compiling for the this ta.pdfThis code i would want to work ssh compiling for the this ta.pdf
This code i would want to work ssh compiling for the this ta.pdf
admin447081
 
Stakeholder strategySocialresponsibility AFI strategy Vis.pdf
Stakeholder strategySocialresponsibility AFI strategy    Vis.pdfStakeholder strategySocialresponsibility AFI strategy    Vis.pdf
Stakeholder strategySocialresponsibility AFI strategy Vis.pdf
admin447081
 
Question 4 Let n2 be an integer and let G be the nn undire.pdf
Question 4 Let n2 be an integer and let G be the nn undire.pdfQuestion 4 Let n2 be an integer and let G be the nn undire.pdf
Question 4 Let n2 be an integer and let G be the nn undire.pdf
admin447081
 
Python Create a function that displays a list of choices to .pdf
Python Create a function that displays a list of choices to .pdfPython Create a function that displays a list of choices to .pdf
Python Create a function that displays a list of choices to .pdf
admin447081
 
Denver Uluslararas Havaliman DIA hizmete zamannda uular.pdf
Denver Uluslararas Havaliman DIA hizmete zamannda uular.pdfDenver Uluslararas Havaliman DIA hizmete zamannda uular.pdf
Denver Uluslararas Havaliman DIA hizmete zamannda uular.pdf
admin447081
 
OJ Simpson was an American football legend After his Hall.pdf
OJ Simpson was an American football legend After his Hall.pdfOJ Simpson was an American football legend After his Hall.pdf
OJ Simpson was an American football legend After his Hall.pdf
admin447081
 
On January 1 Year 1 Dell Inc contracted with the city of.pdf
On January 1 Year 1 Dell Inc contracted with the city of.pdfOn January 1 Year 1 Dell Inc contracted with the city of.pdf
On January 1 Year 1 Dell Inc contracted with the city of.pdf
admin447081
 
Many times when we login to a system we use a usernamepass.pdf
Many times when we login to a system we use a usernamepass.pdfMany times when we login to a system we use a usernamepass.pdf
Many times when we login to a system we use a usernamepass.pdf
admin447081
 
Match the 7 wastes to their brief description Idle time Prod.pdf
Match the 7 wastes to their brief description Idle time Prod.pdfMatch the 7 wastes to their brief description Idle time Prod.pdf
Match the 7 wastes to their brief description Idle time Prod.pdf
admin447081
 
In a recent Super Bowl a TV network predicted that 27 of t.pdf
In a recent Super Bowl a TV network predicted that 27 of t.pdfIn a recent Super Bowl a TV network predicted that 27 of t.pdf
In a recent Super Bowl a TV network predicted that 27 of t.pdf
admin447081
 

More from admin447081 (20)

DEF Company also has preferred stock outstanding that pays a.pdf
DEF Company also has preferred stock outstanding that pays a.pdfDEF Company also has preferred stock outstanding that pays a.pdf
DEF Company also has preferred stock outstanding that pays a.pdf
 
4 Explain the usage of each tool that you identified above.pdf
4 Explain the usage of each tool that you identified above.pdf4 Explain the usage of each tool that you identified above.pdf
4 Explain the usage of each tool that you identified above.pdf
 
CASO INTEGRATIVO 30 IKEA estilo escandinavo Detrs de l.pdf
CASO INTEGRATIVO 30  IKEA estilo escandinavo  Detrs de l.pdfCASO INTEGRATIVO 30  IKEA estilo escandinavo  Detrs de l.pdf
CASO INTEGRATIVO 30 IKEA estilo escandinavo Detrs de l.pdf
 
1 a Cul es el nombre de la esfera que se encuentra en e.pdf
1  a Cul es el nombre de la esfera que se encuentra en e.pdf1  a Cul es el nombre de la esfera que se encuentra en e.pdf
1 a Cul es el nombre de la esfera que se encuentra en e.pdf
 
According to US Census data 716 of Americans are age 21.pdf
According to US Census data 716 of Americans are age 21.pdfAccording to US Census data 716 of Americans are age 21.pdf
According to US Census data 716 of Americans are age 21.pdf
 
1 Sosyal medya pazarlamasn SMM kullanmann avantajlar ile .pdf
1 Sosyal medya pazarlamasn SMM kullanmann avantajlar ile .pdf1 Sosyal medya pazarlamasn SMM kullanmann avantajlar ile .pdf
1 Sosyal medya pazarlamasn SMM kullanmann avantajlar ile .pdf
 
10 points Let continuous variables X1Xk be independentl.pdf
10 points Let continuous variables X1Xk be independentl.pdf10 points Let continuous variables X1Xk be independentl.pdf
10 points Let continuous variables X1Xk be independentl.pdf
 
1 Provide three examples of automatic data classifications .pdf
1 Provide three examples of automatic data classifications .pdf1 Provide three examples of automatic data classifications .pdf
1 Provide three examples of automatic data classifications .pdf
 
Theodore E Lariat is a single taxpayer born on September 22.pdf
Theodore E Lariat is a single taxpayer born on September 22.pdfTheodore E Lariat is a single taxpayer born on September 22.pdf
Theodore E Lariat is a single taxpayer born on September 22.pdf
 
Use C++ for all 1 bool mapContainsKeysarrayltintgt nu.pdf
Use C++ for all  1 bool mapContainsKeysarrayltintgt nu.pdfUse C++ for all  1 bool mapContainsKeysarrayltintgt nu.pdf
Use C++ for all 1 bool mapContainsKeysarrayltintgt nu.pdf
 
This code i would want to work ssh compiling for the this ta.pdf
This code i would want to work ssh compiling for the this ta.pdfThis code i would want to work ssh compiling for the this ta.pdf
This code i would want to work ssh compiling for the this ta.pdf
 
Stakeholder strategySocialresponsibility AFI strategy Vis.pdf
Stakeholder strategySocialresponsibility AFI strategy    Vis.pdfStakeholder strategySocialresponsibility AFI strategy    Vis.pdf
Stakeholder strategySocialresponsibility AFI strategy Vis.pdf
 
Question 4 Let n2 be an integer and let G be the nn undire.pdf
Question 4 Let n2 be an integer and let G be the nn undire.pdfQuestion 4 Let n2 be an integer and let G be the nn undire.pdf
Question 4 Let n2 be an integer and let G be the nn undire.pdf
 
Python Create a function that displays a list of choices to .pdf
Python Create a function that displays a list of choices to .pdfPython Create a function that displays a list of choices to .pdf
Python Create a function that displays a list of choices to .pdf
 
Denver Uluslararas Havaliman DIA hizmete zamannda uular.pdf
Denver Uluslararas Havaliman DIA hizmete zamannda uular.pdfDenver Uluslararas Havaliman DIA hizmete zamannda uular.pdf
Denver Uluslararas Havaliman DIA hizmete zamannda uular.pdf
 
OJ Simpson was an American football legend After his Hall.pdf
OJ Simpson was an American football legend After his Hall.pdfOJ Simpson was an American football legend After his Hall.pdf
OJ Simpson was an American football legend After his Hall.pdf
 
On January 1 Year 1 Dell Inc contracted with the city of.pdf
On January 1 Year 1 Dell Inc contracted with the city of.pdfOn January 1 Year 1 Dell Inc contracted with the city of.pdf
On January 1 Year 1 Dell Inc contracted with the city of.pdf
 
Many times when we login to a system we use a usernamepass.pdf
Many times when we login to a system we use a usernamepass.pdfMany times when we login to a system we use a usernamepass.pdf
Many times when we login to a system we use a usernamepass.pdf
 
Match the 7 wastes to their brief description Idle time Prod.pdf
Match the 7 wastes to their brief description Idle time Prod.pdfMatch the 7 wastes to their brief description Idle time Prod.pdf
Match the 7 wastes to their brief description Idle time Prod.pdf
 
In a recent Super Bowl a TV network predicted that 27 of t.pdf
In a recent Super Bowl a TV network predicted that 27 of t.pdfIn a recent Super Bowl a TV network predicted that 27 of t.pdf
In a recent Super Bowl a TV network predicted that 27 of t.pdf
 

Recently uploaded

TESDA TM1 REVIEWER FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
TESDA TM1 REVIEWER  FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...TESDA TM1 REVIEWER  FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
TESDA TM1 REVIEWER FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
EugeneSaldivar
 
Normal Labour/ Stages of Labour/ Mechanism of Labour
Normal Labour/ Stages of Labour/ Mechanism of LabourNormal Labour/ Stages of Labour/ Mechanism of Labour
Normal Labour/ Stages of Labour/ Mechanism of Labour
Wasim Ak
 
Assignment_4_ArianaBusciglio Marvel(1).docx
Assignment_4_ArianaBusciglio Marvel(1).docxAssignment_4_ArianaBusciglio Marvel(1).docx
Assignment_4_ArianaBusciglio Marvel(1).docx
ArianaBusciglio
 
Unit 2- Research Aptitude (UGC NET Paper I).pdf
Unit 2- Research Aptitude (UGC NET Paper I).pdfUnit 2- Research Aptitude (UGC NET Paper I).pdf
Unit 2- Research Aptitude (UGC NET Paper I).pdf
Thiyagu K
 
PIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf IslamabadPIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf Islamabad
AyyanKhan40
 
Thesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.pptThesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.ppt
EverAndrsGuerraGuerr
 
The Diamonds of 2023-2024 in the IGRA collection
The Diamonds of 2023-2024 in the IGRA collectionThe Diamonds of 2023-2024 in the IGRA collection
The Diamonds of 2023-2024 in the IGRA collection
Israel Genealogy Research Association
 
The basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptxThe basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptx
heathfieldcps1
 
Biological Screening of Herbal Drugs in detailed.
Biological Screening of Herbal Drugs in detailed.Biological Screening of Herbal Drugs in detailed.
Biological Screening of Herbal Drugs in detailed.
Ashokrao Mane college of Pharmacy Peth-Vadgaon
 
A Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in EducationA Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in Education
Peter Windle
 
Group Presentation 2 Economics.Ariana Buscigliopptx
Group Presentation 2 Economics.Ariana BuscigliopptxGroup Presentation 2 Economics.Ariana Buscigliopptx
Group Presentation 2 Economics.Ariana Buscigliopptx
ArianaBusciglio
 
Aficamten in HCM (SEQUOIA HCM TRIAL 2024)
Aficamten in HCM (SEQUOIA HCM TRIAL 2024)Aficamten in HCM (SEQUOIA HCM TRIAL 2024)
Aficamten in HCM (SEQUOIA HCM TRIAL 2024)
Ashish Kohli
 
Digital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental DesignDigital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental Design
amberjdewit93
 
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold MethodHow to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold Method
Celine George
 
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama UniversityNatural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Akanksha trivedi rama nursing college kanpur.
 
Acetabularia Information For Class 9 .docx
Acetabularia Information For Class 9  .docxAcetabularia Information For Class 9  .docx
Acetabularia Information For Class 9 .docx
vaibhavrinwa19
 
MATATAG CURRICULUM: ASSESSING THE READINESS OF ELEM. PUBLIC SCHOOL TEACHERS I...
MATATAG CURRICULUM: ASSESSING THE READINESS OF ELEM. PUBLIC SCHOOL TEACHERS I...MATATAG CURRICULUM: ASSESSING THE READINESS OF ELEM. PUBLIC SCHOOL TEACHERS I...
MATATAG CURRICULUM: ASSESSING THE READINESS OF ELEM. PUBLIC SCHOOL TEACHERS I...
NelTorrente
 
Introduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp NetworkIntroduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp Network
TechSoup
 
Landownership in the Philippines under the Americans-2-pptx.pptx
Landownership in the Philippines under the Americans-2-pptx.pptxLandownership in the Philippines under the Americans-2-pptx.pptx
Landownership in the Philippines under the Americans-2-pptx.pptx
JezreelCabil2
 
CACJapan - GROUP Presentation 1- Wk 4.pdf
CACJapan - GROUP Presentation 1- Wk 4.pdfCACJapan - GROUP Presentation 1- Wk 4.pdf
CACJapan - GROUP Presentation 1- Wk 4.pdf
camakaiclarkmusic
 

Recently uploaded (20)

TESDA TM1 REVIEWER FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
TESDA TM1 REVIEWER  FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...TESDA TM1 REVIEWER  FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
TESDA TM1 REVIEWER FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
 
Normal Labour/ Stages of Labour/ Mechanism of Labour
Normal Labour/ Stages of Labour/ Mechanism of LabourNormal Labour/ Stages of Labour/ Mechanism of Labour
Normal Labour/ Stages of Labour/ Mechanism of Labour
 
Assignment_4_ArianaBusciglio Marvel(1).docx
Assignment_4_ArianaBusciglio Marvel(1).docxAssignment_4_ArianaBusciglio Marvel(1).docx
Assignment_4_ArianaBusciglio Marvel(1).docx
 
Unit 2- Research Aptitude (UGC NET Paper I).pdf
Unit 2- Research Aptitude (UGC NET Paper I).pdfUnit 2- Research Aptitude (UGC NET Paper I).pdf
Unit 2- Research Aptitude (UGC NET Paper I).pdf
 
PIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf IslamabadPIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf Islamabad
 
Thesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.pptThesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.ppt
 
The Diamonds of 2023-2024 in the IGRA collection
The Diamonds of 2023-2024 in the IGRA collectionThe Diamonds of 2023-2024 in the IGRA collection
The Diamonds of 2023-2024 in the IGRA collection
 
The basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptxThe basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptx
 
Biological Screening of Herbal Drugs in detailed.
Biological Screening of Herbal Drugs in detailed.Biological Screening of Herbal Drugs in detailed.
Biological Screening of Herbal Drugs in detailed.
 
A Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in EducationA Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in Education
 
Group Presentation 2 Economics.Ariana Buscigliopptx
Group Presentation 2 Economics.Ariana BuscigliopptxGroup Presentation 2 Economics.Ariana Buscigliopptx
Group Presentation 2 Economics.Ariana Buscigliopptx
 
Aficamten in HCM (SEQUOIA HCM TRIAL 2024)
Aficamten in HCM (SEQUOIA HCM TRIAL 2024)Aficamten in HCM (SEQUOIA HCM TRIAL 2024)
Aficamten in HCM (SEQUOIA HCM TRIAL 2024)
 
Digital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental DesignDigital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental Design
 
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold MethodHow to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold Method
 
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama UniversityNatural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
 
Acetabularia Information For Class 9 .docx
Acetabularia Information For Class 9  .docxAcetabularia Information For Class 9  .docx
Acetabularia Information For Class 9 .docx
 
MATATAG CURRICULUM: ASSESSING THE READINESS OF ELEM. PUBLIC SCHOOL TEACHERS I...
MATATAG CURRICULUM: ASSESSING THE READINESS OF ELEM. PUBLIC SCHOOL TEACHERS I...MATATAG CURRICULUM: ASSESSING THE READINESS OF ELEM. PUBLIC SCHOOL TEACHERS I...
MATATAG CURRICULUM: ASSESSING THE READINESS OF ELEM. PUBLIC SCHOOL TEACHERS I...
 
Introduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp NetworkIntroduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp Network
 
Landownership in the Philippines under the Americans-2-pptx.pptx
Landownership in the Philippines under the Americans-2-pptx.pptxLandownership in the Philippines under the Americans-2-pptx.pptx
Landownership in the Philippines under the Americans-2-pptx.pptx
 
CACJapan - GROUP Presentation 1- Wk 4.pdf
CACJapan - GROUP Presentation 1- Wk 4.pdfCACJapan - GROUP Presentation 1- Wk 4.pdf
CACJapan - GROUP Presentation 1- Wk 4.pdf
 

a 5 points Prove that Y the vector of fitted values is.pdf

  • 1. a. (5 points) Prove that Y^, the vector of fitted values, is normally distributed with mean X and variance 2X(XX)1X. b. (5 points) Prove that pred =Yh(new)Y^h is normally distributed with the mean 0 and variance 2(1+Xh(XX)1Xh).