Question 12 Answer the following questions related to the following dendrogram. 1. Draw the nested diagram corresponding to the dendrogram 2. What are the clusters if we want to partition the data into 3 clusters? Fil 0.25 0.2 0.15 0.1 0.05 0 Figure 5: Hierarchical clustering: dendrogram

4.- For the following data set 10, 7, 6, k, 4, 7, 1, 10. Find the value of k so that (a) X = 6.25 (b) X = 7.5 Villalobos 2020 22 (c) M = 7 (d) MR = 10 CHAPTER 3. DATA DESCRIPTION

The Control Group i... 4. Four students graphed the data below (orange = carrot, green= bell pepper). Which graph is correct? Calories Vegetable Carrot 140 120 100 100 200 180 60 40 Vegetable mass and calorie data 80 20 50 .. 45 40 35 30 25 20 10 0 15 5 0 A C 40 Mass (g) O A. Graph A OB. Graph B OC. Graph O OD. Graph D 140 80 Calories vs. Mass 5 10 15 20 25 30 35 40 45 50 Mass (grams) Calories vs. Mass 80 120 Mass (grams) Calories 160 40 200 Calories Calones 200 180 160 140 120 100 60 40 80 20 0 CAS 50 45 40 35 30 25 20 15 10 5 0 D B 5 10 15 20 25 30 35 40 45 Mass (grams) Calories vs. Mass 40 lab Calories vs. Mass 80 120 Mass (grams) 160 50 200

1a. For the following data: X                                                    Y # siblings grown up with       # own children 2                                                      0 3                                                      1 7                                                      4 5                                                      6 4                                                      6 3                                                      1   Draw the scatterplot (MUST SHOW WORK FOR THIS PROBLEM)   Group of answer choices a. yes b. no 1b. Using the dataset given in problem 14, test the hypothesis that there is a significant positive relationship between the # of siblings an individual grows up with and the number of children they eventually have. Use α = .05. Which of the following accurately represents the null and alternative hypotheses? (MUST SHOW WORK FOR THIS PROBLEM)   Group of answer choices a. H0: ρ ≤ 0,   H1: ρ > 0 b. H0: ρ ≥ 0,   H1: ρ…