Correlation Analysis

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

Body Fat: 9.5, 26.5, 7.8, 17.8, 31.4, 25.9, 27.4, 27.2, 31.2, 34.6, 42.5, 28.8, 33.4, 30.2, 34.1, 32.9, 41.2, 35.7

Answer the following:

1. Normalize the two attributes based on z-score normalization.
2. Calculate the correlation coefficient (Pearsons).
3. Are these two attributes positively or negatively correlated?
4. Computer their covariance.