University Rankings. The dataset on American college and university rankings (Colleges.jmp) contains information on 1302 American colleges and universities offering an undergraduate program. For each university there are 17 measurements that include continuous measurements (e.g., tuition and graduation rate) and categorical measurements (e.g., location by state and whether it is a private or a public school).

a. Make sure the variables are coded correctly in JMP (Nominal, Ordinal, or Continuous), then use the Columns Viewer to summarize the data. Are there any missing values? How many Nominal columns are there?

b. Conduct a principal components analysis on the data and comment on the results. Recall that, by default, JMP will conduct the analysis on correlations rather than covariances. Is this necessary? Do the data need to be normalized in this case? Discuss key considerations in this decision.

c. Repeat the above analysis using R.