SlideShare a Scribd company logo
Q5. Dimension Reduction (16 points) Consider 4 data points in the 2-d space: (4,2),(1,3),(0,4),
and (5,1). Q5.1. (12 pts) What is the first principal component? Q5.2. (4 pts) If we project all
points into the 1-d subspace by the first principal component, what the variance of the projected
data?

More Related Content

More from amadonaicreations

Q1. Entity Relationship Model Warming up [3 points] Consider the fo.pdf
 Q1. Entity Relationship Model  Warming up [3 points] Consider the fo.pdf Q1. Entity Relationship Model  Warming up [3 points] Consider the fo.pdf
Q1. Entity Relationship Model Warming up [3 points] Consider the fo.pdf
amadonaicreations
 
Pseudo-random numbers Randomly generating numbers is a crucial subrou.pdf
 Pseudo-random numbers Randomly generating numbers is a crucial subrou.pdf Pseudo-random numbers Randomly generating numbers is a crucial subrou.pdf
Pseudo-random numbers Randomly generating numbers is a crucial subrou.pdf
amadonaicreations
 
Proteins fold into complex three-dimensional shapes. The function is .pdf
 Proteins fold into complex three-dimensional shapes. The function is .pdf Proteins fold into complex three-dimensional shapes. The function is .pdf
Proteins fold into complex three-dimensional shapes. The function is .pdf
amadonaicreations
 
Project Part 3 Obtaining Evidence from an ISP Scenario D&B has been.pdf
 Project Part 3 Obtaining Evidence from an ISP Scenario D&B has been.pdf Project Part 3 Obtaining Evidence from an ISP Scenario D&B has been.pdf
Project Part 3 Obtaining Evidence from an ISP Scenario D&B has been.pdf
amadonaicreations
 
Prof. Umut Oguzoglu, Head, Dept. of Economics claims that the student.pdf
 Prof. Umut Oguzoglu, Head, Dept. of Economics claims that the student.pdf Prof. Umut Oguzoglu, Head, Dept. of Economics claims that the student.pdf
Prof. Umut Oguzoglu, Head, Dept. of Economics claims that the student.pdf
amadonaicreations
 
Problems (Show all your work step by step) 1. Suppose that tastes are.pdf
 Problems (Show all your work step by step) 1. Suppose that tastes are.pdf Problems (Show all your work step by step) 1. Suppose that tastes are.pdf
Problems (Show all your work step by step) 1. Suppose that tastes are.pdf
amadonaicreations
 
Problem Solving Questions. Show your computations step by step. Order.pdf
 Problem Solving Questions. Show your computations step by step. Order.pdf Problem Solving Questions. Show your computations step by step. Order.pdf
Problem Solving Questions. Show your computations step by step. Order.pdf
amadonaicreations
 
Problem 8 Henrico County (suburban Richmond) is in the process of co.pdf
 Problem 8 Henrico County (suburban Richmond) is in the process of co.pdf Problem 8 Henrico County (suburban Richmond) is in the process of co.pdf
Problem 8 Henrico County (suburban Richmond) is in the process of co.pdf
amadonaicreations
 
Problem 5-10AB Gross profit method LO P4 Wayward Company wants to pre.pdf
 Problem 5-10AB Gross profit method LO P4 Wayward Company wants to pre.pdf Problem 5-10AB Gross profit method LO P4 Wayward Company wants to pre.pdf
Problem 5-10AB Gross profit method LO P4 Wayward Company wants to pre.pdf
amadonaicreations
 
Question 22 Which of the following is true about transferring for Wes.pdf
 Question 22 Which of the following is true about transferring for Wes.pdf Question 22 Which of the following is true about transferring for Wes.pdf
Question 22 Which of the following is true about transferring for Wes.pdf
amadonaicreations
 
Question 21 Whut is the ourpote of Drveloping Oreanizational Stru.pdf
 Question 21 Whut is the ourpote of Drveloping Oreanizational Stru.pdf Question 21 Whut is the ourpote of Drveloping Oreanizational Stru.pdf
Question 21 Whut is the ourpote of Drveloping Oreanizational Stru.pdf
amadonaicreations
 
Problem 4 In the 1860 s, Joseph Lister conducted a landmark experime.pdf
 Problem 4 In the 1860 s, Joseph Lister conducted a landmark experime.pdf Problem 4 In the 1860 s, Joseph Lister conducted a landmark experime.pdf
Problem 4 In the 1860 s, Joseph Lister conducted a landmark experime.pdf
amadonaicreations
 
Question 2 Write a Java program that declares and initializes one dou.pdf
 Question 2 Write a Java program that declares and initializes one dou.pdf Question 2 Write a Java program that declares and initializes one dou.pdf
Question 2 Write a Java program that declares and initializes one dou.pdf
amadonaicreations
 
Question 2 Write a Java program that declares and initializes b,h and.pdf
 Question 2 Write a Java program that declares and initializes b,h and.pdf Question 2 Write a Java program that declares and initializes b,h and.pdf
Question 2 Write a Java program that declares and initializes b,h and.pdf
amadonaicreations
 
Question 2 [l pt] Variable Wa,b defines that a Wumpus is located as .pdf
 Question 2 [l pt] Variable Wa,b defines that a Wumpus is located as .pdf Question 2 [l pt] Variable Wa,b defines that a Wumpus is located as .pdf
Question 2 [l pt] Variable Wa,b defines that a Wumpus is located as .pdf
amadonaicreations
 
Question 2 Write a Java program that declares and initializes b, h an.pdf
 Question 2 Write a Java program that declares and initializes b, h an.pdf Question 2 Write a Java program that declares and initializes b, h an.pdf
Question 2 Write a Java program that declares and initializes b, h an.pdf
amadonaicreations
 
Question 10 of 12 Why do investors use financial ratio analysis Sele.pdf
 Question 10 of 12 Why do investors use financial ratio analysis Sele.pdf Question 10 of 12 Why do investors use financial ratio analysis Sele.pdf
Question 10 of 12 Why do investors use financial ratio analysis Sele.pdf
amadonaicreations
 
Question 2 Describe the major ocean circulation patterns discussed i.pdf
 Question 2 Describe the major ocean circulation patterns discussed i.pdf Question 2 Describe the major ocean circulation patterns discussed i.pdf
Question 2 Describe the major ocean circulation patterns discussed i.pdf
amadonaicreations
 
Question 14 Consider the following table of activities A through G in.pdf
 Question 14 Consider the following table of activities A through G in.pdf Question 14 Consider the following table of activities A through G in.pdf
Question 14 Consider the following table of activities A through G in.pdf
amadonaicreations
 
Question 2 All the data below are for the end of the period. i. Compu.pdf
 Question 2 All the data below are for the end of the period. i. Compu.pdf Question 2 All the data below are for the end of the period. i. Compu.pdf
Question 2 All the data below are for the end of the period. i. Compu.pdf
amadonaicreations
 

More from amadonaicreations (20)

Q1. Entity Relationship Model Warming up [3 points] Consider the fo.pdf
 Q1. Entity Relationship Model  Warming up [3 points] Consider the fo.pdf Q1. Entity Relationship Model  Warming up [3 points] Consider the fo.pdf
Q1. Entity Relationship Model Warming up [3 points] Consider the fo.pdf
 
Pseudo-random numbers Randomly generating numbers is a crucial subrou.pdf
 Pseudo-random numbers Randomly generating numbers is a crucial subrou.pdf Pseudo-random numbers Randomly generating numbers is a crucial subrou.pdf
Pseudo-random numbers Randomly generating numbers is a crucial subrou.pdf
 
Proteins fold into complex three-dimensional shapes. The function is .pdf
 Proteins fold into complex three-dimensional shapes. The function is .pdf Proteins fold into complex three-dimensional shapes. The function is .pdf
Proteins fold into complex three-dimensional shapes. The function is .pdf
 
Project Part 3 Obtaining Evidence from an ISP Scenario D&B has been.pdf
 Project Part 3 Obtaining Evidence from an ISP Scenario D&B has been.pdf Project Part 3 Obtaining Evidence from an ISP Scenario D&B has been.pdf
Project Part 3 Obtaining Evidence from an ISP Scenario D&B has been.pdf
 
Prof. Umut Oguzoglu, Head, Dept. of Economics claims that the student.pdf
 Prof. Umut Oguzoglu, Head, Dept. of Economics claims that the student.pdf Prof. Umut Oguzoglu, Head, Dept. of Economics claims that the student.pdf
Prof. Umut Oguzoglu, Head, Dept. of Economics claims that the student.pdf
 
Problems (Show all your work step by step) 1. Suppose that tastes are.pdf
 Problems (Show all your work step by step) 1. Suppose that tastes are.pdf Problems (Show all your work step by step) 1. Suppose that tastes are.pdf
Problems (Show all your work step by step) 1. Suppose that tastes are.pdf
 
Problem Solving Questions. Show your computations step by step. Order.pdf
 Problem Solving Questions. Show your computations step by step. Order.pdf Problem Solving Questions. Show your computations step by step. Order.pdf
Problem Solving Questions. Show your computations step by step. Order.pdf
 
Problem 8 Henrico County (suburban Richmond) is in the process of co.pdf
 Problem 8 Henrico County (suburban Richmond) is in the process of co.pdf Problem 8 Henrico County (suburban Richmond) is in the process of co.pdf
Problem 8 Henrico County (suburban Richmond) is in the process of co.pdf
 
Problem 5-10AB Gross profit method LO P4 Wayward Company wants to pre.pdf
 Problem 5-10AB Gross profit method LO P4 Wayward Company wants to pre.pdf Problem 5-10AB Gross profit method LO P4 Wayward Company wants to pre.pdf
Problem 5-10AB Gross profit method LO P4 Wayward Company wants to pre.pdf
 
Question 22 Which of the following is true about transferring for Wes.pdf
 Question 22 Which of the following is true about transferring for Wes.pdf Question 22 Which of the following is true about transferring for Wes.pdf
Question 22 Which of the following is true about transferring for Wes.pdf
 
Question 21 Whut is the ourpote of Drveloping Oreanizational Stru.pdf
 Question 21 Whut is the ourpote of Drveloping Oreanizational Stru.pdf Question 21 Whut is the ourpote of Drveloping Oreanizational Stru.pdf
Question 21 Whut is the ourpote of Drveloping Oreanizational Stru.pdf
 
Problem 4 In the 1860 s, Joseph Lister conducted a landmark experime.pdf
 Problem 4 In the 1860 s, Joseph Lister conducted a landmark experime.pdf Problem 4 In the 1860 s, Joseph Lister conducted a landmark experime.pdf
Problem 4 In the 1860 s, Joseph Lister conducted a landmark experime.pdf
 
Question 2 Write a Java program that declares and initializes one dou.pdf
 Question 2 Write a Java program that declares and initializes one dou.pdf Question 2 Write a Java program that declares and initializes one dou.pdf
Question 2 Write a Java program that declares and initializes one dou.pdf
 
Question 2 Write a Java program that declares and initializes b,h and.pdf
 Question 2 Write a Java program that declares and initializes b,h and.pdf Question 2 Write a Java program that declares and initializes b,h and.pdf
Question 2 Write a Java program that declares and initializes b,h and.pdf
 
Question 2 [l pt] Variable Wa,b defines that a Wumpus is located as .pdf
 Question 2 [l pt] Variable Wa,b defines that a Wumpus is located as .pdf Question 2 [l pt] Variable Wa,b defines that a Wumpus is located as .pdf
Question 2 [l pt] Variable Wa,b defines that a Wumpus is located as .pdf
 
Question 2 Write a Java program that declares and initializes b, h an.pdf
 Question 2 Write a Java program that declares and initializes b, h an.pdf Question 2 Write a Java program that declares and initializes b, h an.pdf
Question 2 Write a Java program that declares and initializes b, h an.pdf
 
Question 10 of 12 Why do investors use financial ratio analysis Sele.pdf
 Question 10 of 12 Why do investors use financial ratio analysis Sele.pdf Question 10 of 12 Why do investors use financial ratio analysis Sele.pdf
Question 10 of 12 Why do investors use financial ratio analysis Sele.pdf
 
Question 2 Describe the major ocean circulation patterns discussed i.pdf
 Question 2 Describe the major ocean circulation patterns discussed i.pdf Question 2 Describe the major ocean circulation patterns discussed i.pdf
Question 2 Describe the major ocean circulation patterns discussed i.pdf
 
Question 14 Consider the following table of activities A through G in.pdf
 Question 14 Consider the following table of activities A through G in.pdf Question 14 Consider the following table of activities A through G in.pdf
Question 14 Consider the following table of activities A through G in.pdf
 
Question 2 All the data below are for the end of the period. i. Compu.pdf
 Question 2 All the data below are for the end of the period. i. Compu.pdf Question 2 All the data below are for the end of the period. i. Compu.pdf
Question 2 All the data below are for the end of the period. i. Compu.pdf
 

Recently uploaded

Sha'Carri Richardson Presentation 202345
Sha'Carri Richardson Presentation 202345Sha'Carri Richardson Presentation 202345
Sha'Carri Richardson Presentation 202345
beazzy04
 
The Art Pastor's Guide to Sabbath | Steve Thomason
The Art Pastor's Guide to Sabbath | Steve ThomasonThe Art Pastor's Guide to Sabbath | Steve Thomason
The Art Pastor's Guide to Sabbath | Steve Thomason
Steve Thomason
 
Fish and Chips - have they had their chips
Fish and Chips - have they had their chipsFish and Chips - have they had their chips
Fish and Chips - have they had their chips
GeoBlogs
 
1.4 modern child centered education - mahatma gandhi-2.pptx
1.4 modern child centered education - mahatma gandhi-2.pptx1.4 modern child centered education - mahatma gandhi-2.pptx
1.4 modern child centered education - mahatma gandhi-2.pptx
JosvitaDsouza2
 
Synthetic Fiber Construction in lab .pptx
Synthetic Fiber Construction in lab .pptxSynthetic Fiber Construction in lab .pptx
Synthetic Fiber Construction in lab .pptx
Pavel ( NSTU)
 
How to Create Map Views in the Odoo 17 ERP
How to Create Map Views in the Odoo 17 ERPHow to Create Map Views in the Odoo 17 ERP
How to Create Map Views in the Odoo 17 ERP
Celine George
 
Instructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptxInstructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptx
Jheel Barad
 
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
siemaillard
 
ESC Beyond Borders _From EU to You_ InfoPack general.pdf
ESC Beyond Borders _From EU to You_ InfoPack general.pdfESC Beyond Borders _From EU to You_ InfoPack general.pdf
ESC Beyond Borders _From EU to You_ InfoPack general.pdf
Fundacja Rozwoju Społeczeństwa Przedsiębiorczego
 
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
 
Palestine last event orientationfvgnh .pptx
Palestine last event orientationfvgnh .pptxPalestine last event orientationfvgnh .pptx
Palestine last event orientationfvgnh .pptx
RaedMohamed3
 
The Challenger.pdf DNHS Official Publication
The Challenger.pdf DNHS Official PublicationThe Challenger.pdf DNHS Official Publication
The Challenger.pdf DNHS Official Publication
Delapenabediema
 
Supporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptxSupporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptx
Jisc
 
How to Make a Field invisible in Odoo 17
How to Make a Field invisible in Odoo 17How to Make a Field invisible in Odoo 17
How to Make a Field invisible in Odoo 17
Celine George
 
The approach at University of Liverpool.pptx
The approach at University of Liverpool.pptxThe approach at University of Liverpool.pptx
The approach at University of Liverpool.pptx
Jisc
 
Overview on Edible Vaccine: Pros & Cons with Mechanism
Overview on Edible Vaccine: Pros & Cons with MechanismOverview on Edible Vaccine: Pros & Cons with Mechanism
Overview on Edible Vaccine: Pros & Cons with Mechanism
DeeptiGupta154
 
Language Across the Curriculm LAC B.Ed.
Language Across the  Curriculm LAC B.Ed.Language Across the  Curriculm LAC B.Ed.
Language Across the Curriculm LAC B.Ed.
Atul Kumar Singh
 
Ethnobotany and Ethnopharmacology ......
Ethnobotany and Ethnopharmacology ......Ethnobotany and Ethnopharmacology ......
Ethnobotany and Ethnopharmacology ......
Ashokrao Mane college of Pharmacy Peth-Vadgaon
 
Template Jadual Bertugas Kelas (Boleh Edit)
Template Jadual Bertugas Kelas (Boleh Edit)Template Jadual Bertugas Kelas (Boleh Edit)
Template Jadual Bertugas Kelas (Boleh Edit)
rosedainty
 
GIÁO ÁN DẠY THÊM (KẾ HOẠCH BÀI BUỔI 2) - TIẾNG ANH 8 GLOBAL SUCCESS (2 CỘT) N...
GIÁO ÁN DẠY THÊM (KẾ HOẠCH BÀI BUỔI 2) - TIẾNG ANH 8 GLOBAL SUCCESS (2 CỘT) N...GIÁO ÁN DẠY THÊM (KẾ HOẠCH BÀI BUỔI 2) - TIẾNG ANH 8 GLOBAL SUCCESS (2 CỘT) N...
GIÁO ÁN DẠY THÊM (KẾ HOẠCH BÀI BUỔI 2) - TIẾNG ANH 8 GLOBAL SUCCESS (2 CỘT) N...
Nguyen Thanh Tu Collection
 

Recently uploaded (20)

Sha'Carri Richardson Presentation 202345
Sha'Carri Richardson Presentation 202345Sha'Carri Richardson Presentation 202345
Sha'Carri Richardson Presentation 202345
 
The Art Pastor's Guide to Sabbath | Steve Thomason
The Art Pastor's Guide to Sabbath | Steve ThomasonThe Art Pastor's Guide to Sabbath | Steve Thomason
The Art Pastor's Guide to Sabbath | Steve Thomason
 
Fish and Chips - have they had their chips
Fish and Chips - have they had their chipsFish and Chips - have they had their chips
Fish and Chips - have they had their chips
 
1.4 modern child centered education - mahatma gandhi-2.pptx
1.4 modern child centered education - mahatma gandhi-2.pptx1.4 modern child centered education - mahatma gandhi-2.pptx
1.4 modern child centered education - mahatma gandhi-2.pptx
 
Synthetic Fiber Construction in lab .pptx
Synthetic Fiber Construction in lab .pptxSynthetic Fiber Construction in lab .pptx
Synthetic Fiber Construction in lab .pptx
 
How to Create Map Views in the Odoo 17 ERP
How to Create Map Views in the Odoo 17 ERPHow to Create Map Views in the Odoo 17 ERP
How to Create Map Views in the Odoo 17 ERP
 
Instructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptxInstructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptx
 
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
 
ESC Beyond Borders _From EU to You_ InfoPack general.pdf
ESC Beyond Borders _From EU to You_ InfoPack general.pdfESC Beyond Borders _From EU to You_ InfoPack general.pdf
ESC Beyond Borders _From EU to You_ InfoPack general.pdf
 
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
 
Palestine last event orientationfvgnh .pptx
Palestine last event orientationfvgnh .pptxPalestine last event orientationfvgnh .pptx
Palestine last event orientationfvgnh .pptx
 
The Challenger.pdf DNHS Official Publication
The Challenger.pdf DNHS Official PublicationThe Challenger.pdf DNHS Official Publication
The Challenger.pdf DNHS Official Publication
 
Supporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptxSupporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptx
 
How to Make a Field invisible in Odoo 17
How to Make a Field invisible in Odoo 17How to Make a Field invisible in Odoo 17
How to Make a Field invisible in Odoo 17
 
The approach at University of Liverpool.pptx
The approach at University of Liverpool.pptxThe approach at University of Liverpool.pptx
The approach at University of Liverpool.pptx
 
Overview on Edible Vaccine: Pros & Cons with Mechanism
Overview on Edible Vaccine: Pros & Cons with MechanismOverview on Edible Vaccine: Pros & Cons with Mechanism
Overview on Edible Vaccine: Pros & Cons with Mechanism
 
Language Across the Curriculm LAC B.Ed.
Language Across the  Curriculm LAC B.Ed.Language Across the  Curriculm LAC B.Ed.
Language Across the Curriculm LAC B.Ed.
 
Ethnobotany and Ethnopharmacology ......
Ethnobotany and Ethnopharmacology ......Ethnobotany and Ethnopharmacology ......
Ethnobotany and Ethnopharmacology ......
 
Template Jadual Bertugas Kelas (Boleh Edit)
Template Jadual Bertugas Kelas (Boleh Edit)Template Jadual Bertugas Kelas (Boleh Edit)
Template Jadual Bertugas Kelas (Boleh Edit)
 
GIÁO ÁN DẠY THÊM (KẾ HOẠCH BÀI BUỔI 2) - TIẾNG ANH 8 GLOBAL SUCCESS (2 CỘT) N...
GIÁO ÁN DẠY THÊM (KẾ HOẠCH BÀI BUỔI 2) - TIẾNG ANH 8 GLOBAL SUCCESS (2 CỘT) N...GIÁO ÁN DẠY THÊM (KẾ HOẠCH BÀI BUỔI 2) - TIẾNG ANH 8 GLOBAL SUCCESS (2 CỘT) N...
GIÁO ÁN DẠY THÊM (KẾ HOẠCH BÀI BUỔI 2) - TIẾNG ANH 8 GLOBAL SUCCESS (2 CỘT) N...
 

Q5. Dimension Reduction (16 points) Consider 4 data points in the 2-d.pdf

  • 1. Q5. Dimension Reduction (16 points) Consider 4 data points in the 2-d space: (4,2),(1,3),(0,4), and (5,1). Q5.1. (12 pts) What is the first principal component? Q5.2. (4 pts) If we project all points into the 1-d subspace by the first principal component, what the variance of the projected data?