**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] 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.

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Answered: a. Compute the first principal…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Calculate each value requested for the following set of scores
I 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.
A 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…
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? 74
3. 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.)

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