Problem 4: Correlation Analysis (20 points) Suppose that a hospital tested the age and body fat data for 18 randomly selected adults and the results are provided to you as follows, Ages: 23 23 27 27 39 41 47 49 50 52 54 54 56 57 58 58 60 61 BodyFat: 9.5 26.5 7.8 17.8 31.4 25.9 27.4 27.231.2 34.6 42.5 28.8 33.4 30.2 34.1 32.9 41.2 35.7 Answer the following: (a) Normalize the two attributes based on Z-score normalization. (b) Calculate the correlation coefficient (Pearson's). (c) Are these two attributes positively or negatively correlated? (d) Computer their covariance. *you can use R for calculation. Report all the results in the HW file