## What are the sample proportion of recurrence-free survivals for the two groups.

Use the K-means clustering method to divide Pima Indian women into three groups based on their age and BMI. Provide the centroid for cluster. Create a scatter plot, where each cluster is identified by a different symbol. How these three groups are different from each other based on their age and BMI?

1. In Sect. 3.6, we used the GBSG (German Breast Cancer Study Group) data set from the mfp package to create a new variable called rfs (recurrence-free survival) such that rfs=“No” if the patient had at least one recurrence or died (i.e., cenc=1) and rfs=“Yes” otherwise. Use the K-means clustering method to divide the patients into two groups based on their age, the size of tumor (tumsize), and the number of positive nodes (posnodal). Make sure the options Print cluster summary and Assign clusters to the data set are checked. Explain how the two groups are different using cluster specific summaries. R-Commander creates a new variable, which is called KMeans by default, to identify the two groups. Use this variable along with rfs to create a 2×2 contingency table where the rows show different clusters and the columns shows different values rfs. What are the sample proportion of recurrence-free survivals for the two groups. Compare the odds of recurrence-free survival between the two groups.

### Determine the outlet concentration x1 in the water solution and in the trichloroethane solution using an analytical equation.

Predicting Extraction for an Existing Tower with a Given Number of Steps. An existing tower contains 5.0 theoretical steps. It is desired to predict its performance under the following conditions….

### Calculate the minimum solvent that can be used. [Hint: In this case, the tie line through the feed L0 represents the condition for minimum solvent flow rate.

Minimum Solvent and Countercurrent Extraction of Acetone. An aqueous feed solution of 1000 kg/h containing 23.5 wt % acetone and 76.5 wt % water is being extracted in a countercurrent….

### Determine the break-point time, the fraction of total capacity used up to the break point, the length of the unused bed, and the saturation loading capacity of the solid.

Drying of Nitrogen and Scale-Up of a Column. Using molecular sieves, water vapor was removed from nitrogen gas in a packed bed (C1) at 28.3°C. The column height was 0.268….