MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Related questions
Question
![**Principal Component Analysis Exercise**
1. **Compute the First Principal Component Score for Observation 1**
- *Instruction*: Round intermediate calculations to at least 4 decimal places and your final answer to 4 decimal places. Negative value should be indicated by a minus sign.
- Formula Box: \(PC_{1,1}\) [Input box]
2. **Compute the Second Principal Component Score for Observation 2**
- *Instruction*: Round intermediate calculations to at least 4 decimal places and your final answer to 4 decimal places. Negative value should be indicated by a minus sign.
- Formula Box: \(PC_{2,2}\) [Input box]
3. **Compute the Third Principal Component Score for Observation 3**
- *Instruction*: Round intermediate calculations to at least 4 decimal places and your final answer to 4 decimal places. Negative value should be indicated by a minus sign.
- Formula Box: [Input box]](https://content.bartleby.com/qna-images/question/80f5a0b5-fa3f-4609-a3a3-be6affb5f07a/32af809a-a31a-411e-a3d3-ceb7ab77e585/jsrats_processed.png)
Transcribed Image Text:**Principal Component Analysis Exercise**
1. **Compute the First Principal Component Score for Observation 1**
- *Instruction*: Round intermediate calculations to at least 4 decimal places and your final answer to 4 decimal places. Negative value should be indicated by a minus sign.
- Formula Box: \(PC_{1,1}\) [Input box]
2. **Compute the Second Principal Component Score for Observation 2**
- *Instruction*: Round intermediate calculations to at least 4 decimal places and your final answer to 4 decimal places. Negative value should be indicated by a minus sign.
- Formula Box: \(PC_{2,2}\) [Input box]
3. **Compute the Third Principal Component Score for Observation 3**
- *Instruction*: Round intermediate calculations to at least 4 decimal places and your final answer to 4 decimal places. Negative value should be indicated by a minus sign.
- Formula Box: [Input box]
Transcribed Image Text:The following table displays the weights for computing the principal components and the standardized data (z-scores) for three observations.
| Weight | \(PC_1\) | \(PC_2\) | \(PC_3\) |
|--------|--------|--------|--------|
| \(x_1\) | -0.65 | 0.69 | 0.60 |
| \(x_2\) | -0.70 | 0.12 | -0.84 |
| \(x_3\) | 0.72 | 0.86 | -0.33 |
---
| | \(Z_1\) | \(Z_2\) | \(Z_3\) |
|--------|--------|--------|--------|
| Observation 1 | 0.82 | 0.40 | -0.31 |
| Observation 2 | 2.81 | 2.61 | -1.22 |
| Observation 3 | -0.89 | -1.12 | 1.39 |
The first table contains the weights assigned to each variable (\(x_1, x_2, x_3\)) for the computation of the principal components (\(PC_1, PC_2, PC_3\)).
The second table shows the standardized data or z-scores (\(Z_1, Z_2, Z_3\)) for three observations. Each cell represents the z-score of a particular observation for the corresponding principal component.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 2 images
Knowledge Booster
Similar questions
- Calculate each value requested for the following set of scoresarrow_forwardI need help with just part c. Someone on here already answered it for me but I'm really confused as there are steps missing and I'm not sure what to put in the calculator. " The first quartile separates the lowest 25% of the observations from the higher 75% of the observations. The first quartile is denoted by Q1. The second quartile separates the lower 50% of the observations from the higher 50% of the observations. The second quartile is denoted by Q2.The second quartile is same as median. The third quartile separates the lowest 75% of the observations from the higher 25% of the observations. The third quartile is denoted by Q3. The third quartile can obtained as follows...." Third Quartile is 1 somehow, and I don't understand how it is.arrow_forwardA scatterplot has a horizontal axis labeled "Wins" from 0 to 24 in increments of 2 and a vertical axis labeled "ERA" from 0 to 6 in increments of 0.5. The following points are plotted: 9 units to the right of and 5.2 units above the origin; 11 units to the right of and 3.9 units above the origin; 12 units to the right of and 4.3 units above the origin; 14 units to the right of and 3.9 units above the origin; 16 units to the right of and 3.7 units above the origin; 17 units to the right of and 2.6 units above the origin; 18 units to the right of and 3.4 units above the origin; 20 units to the right of and 2.7 units above the origin. A line falls from left to right and passes through the points (10, 5.3) and (20, 2). All coordinates are approximate. Part 3 (a) Predict the ERA for 5 wins, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice. A. ModifyingAbove y with caretequals enter your response here (Round to two…arrow_forward
- 2.). Suppose a student earned grades of 92, 73, 85, 62 and 74 on five quizzes, a grade of 86 on her final, and an 89 on her class project. The five quizzes count for 65% of the grade (each quiz carries the same weight), the final counts for 25%, and the project counts for 10%. What weighted grade would the student earn in the course, rounded out one decimal placce? 74arrow_forward3. Caloulate r and ŕ for the data set. -5 -4 -3 -2 -10 1. 4. 9. Calculate r. (Round to four decimal places as needed.) Calculate r =(Round to four decimal places as needed.)arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning 
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman