IJ I Let dingle, daverage be the dissimilarities between a generic pair of clusters I, J. As the names indicate, these dissimilarities are built using single linkage and average linkage, respectively. Briefly ellaborate whether the following inequality holds or not: dsingle IJ Javerage IJ II The following data are acidity measurements (in pH scale) of n = 5 soil samples. The variables measured are results obtained with litmus paper (1) and with electric probe (x2), and the samples (individuals) are labelled as usual 1 to 5 from top to bottom. Ꮖ 1 x2 6.77 6.49 6.48 6.83 6.37 6.09 6.11 6.63 6.62 6.76 With these data, perform agglomerative clustering using the euclidean metric and average linkage. In particular, c) Sketch the dendrogram for this analysis. wing state

15. Diameter of Douglas Fir Trees The diameter of the Douglas fir tree is measured at a height of 1.37 meters. The S following data represent the diameter in centimeters of a random sample of 12 Douglas firs in the western Washington Cascades. 156 162 147 173 147 190 130 101 159 113 181 109 Source: L. Winter. "Live Tree and Tree-Ring Records to Reconstruct the Structural Development of an Old-Growth Douglas Fir/Western Hemlock Stand in the Western Washington Cascades." Corvallis, OR: Forest Science Data Bank, 2005. (a) Obtain a point estimate for the mean and standard deviation diameter of a Douglas fir tree in the western Washington Cascades. (b) Because the sample size is small, we must verify that the data come from a population that is normally distributed and that the data do not contain any outliers. The figures show the normal probability plot and boxplot. The correlation between the tree diameters and expected z-scores is 0.982. Use Option 1 or Option 2 to determine if the…

A random sample of 20 adults in a particular country were asked to state what type of birth control method they use. The results are in the table below. None None None Condom Condom Condom Pill Pill Other Other Pill Other Condom Condom Pill None Condom Pill Pill Other a) Since data were collected for            variable(s), the correct graph to make is a       . b) Complete the frequency/relative frequency table. Birth Control Type Frequency Relative Frequency None     Condom     Pill     Other     c) Which of the following is the correct bar chart for the given data?   2468Birth Control TypeFreqNoneCondomPillOther[Graphs generated by this script: setBorder(49,45,0,10); initPicture(0,13,0,8);axes(1000,2,1,1000,2); fill="blue"; textabs([165,0],"Birth Control…