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## Write An R Programming Assignment On Factor Analysis

Write an R Programming Assignment on Factor Analysis

Instructions

In this R programming assignment, you will perform factor analysis on the "USArrests" data set. This data set contains statistics on the arrests per 100,000 residents for assault, murder, and rape in each of the 50 U.S. states in 1973. The data set also contains the percentage of the population that is urban and the percentage of the population that is black.

First, you will need to load the "USArrests" data set into R. You can do this by typing the following at the R prompt:

data("USArrests")

Next, you will need to perform a factor analysis on the four variables in the data set:

- Assault
- Murder
- Rape
- UrbanPop

You should use the "varimax" rotation method, and you should extract two factors.

Once you have extracted the two factors, you should perform a scree plot to determine how many factors to retain.

Finally, you should interpret the factors that you have extracted.

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