(Solution) - A To summarize the overall pattern within a data set -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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a. To summarize the overall pattern within a data set, some may consider it appropriate to simply calculate the average values. The file Test contains several standardized variables. Create (but do not submit) a new variable, Avg, which is the average of each row in the Test data set.
b. Create scatterplots of Avg versus each of the original variables (or create an appropriate matrix plot).
c. Conduct principal component analysis on the data set. Can a majority of the variability in the data be explained with just one or two principal components? Explain.
d. Create scatterplots of PC1 versus each of the original variables (or create an appropriate matrix plot). Does PC1 or Avg better explain patterns in the data? Explain.