Dehydration can happen quickly at altitude as the result of all of the following EXCEPT

Rapid movement or ballistic-type training may be particularly effective in stimulating increases in motor unit

[Problem V: Hierarchical Clustering] Suppose that we redo the hierarchical clustering of the first 9 subjects by first standardizing GeneExp, and we still use the same distance metric and linkage criterion. Which statement is true?

[Problem V: Hierarchical Clustering] Find the height of the phylogenetic tree in Q31 (i.e., the height of the top node). Recall that you need to keep at least 2 decimal places.

[Problem IV: Regression] Consider the simple linear regression model we fitted. Find the estimated regression coefficient for Gene1.

[Problem III: k-means] Which statement is incorrect?

[Problem I: Basic Multivariate Analysis] Find the correlation coefficient between Gene1 and Gene5.

[Problem I: Basic Multivariate Analysis] Which R code below calculates the standard deviation of every gene in GeneExp?

Download this data set and load it into your R workspace: final2026.RData Two objects are contained in this data set, which you can find in the top-right Environment panel. GeneExp: A data frame of gene expression levels. Each row represents a cancer patient, and each column a gene. Rows are named Sub1, Sub2, … (“Sub” means “subject”), and columns are named Gene1, Gene2, … . For example, the expression level of Gene1 in Sub2 is 9.782938. CancerType: A factor that gives the cancer type of each patient. There are 3 types of cancer in this dataset, COAD (colon adenocarcinoma), KIRC (kidney renal clear cell carcinoma), and PRAD (prostate adenocarcinoma). The order of subjects in GeneExp is the same as that in CancerType. For example, Sub2 has cancer type PRAD. There are five problems, marked by [Problem I: Basic Multivariate Analysis], [Problem II: Advanced Multivariate Analysis], [Problem III: k-means], [Problem IV: Regression], [Problem V: Hierarchical Clustering]. Each problem has multiple sub-questions.

[Problem I: Basic Multivariate Analysis] (Continued) According to the boxplot, which cancer type has the largest median expression level of Gene3?