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- There is a covariance matrix of X as follows:

8 |
0 |
1 |

Σ = [0 |
8 |
3] |

1 |
3 |
5 |

- Determine the population principal components Y1, Y2 and Y3 for the covariance matrix
- Calculate the proportion of the total population variance explained by the first principal
- Calculation of correlation coefficient matrix of X

(d) Compute the correlations 𝜌_{𝑌1,𝑍1}, 𝜌_{𝑌1,𝑍2}, 𝜌_{𝑌2,𝑍1}

- There is a correlation coefficient matrix of X as follows:

1 |
0.63 |
0.45 |

ρ = [0.63 |
1 |
0.35] |

0.45 |
0.35 |
1 |

- Calculate the factor

- Calculate communalities ℎ
^{2}, 𝑖 = 1, 2, 3 - What proportion of the total population variance is explained by the first common factor?

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DescriptionIn this final assignment, the students will demonstrate their ability to apply two ma

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1 Project 1 Introduction - the SeaPort Project series For this set of projects for the course, we wish to simulate some of the aspects of a number of

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