Exercise 1: Suppose a hospital tested the age and body fat data for 18 randomly selected adults with the following result 23 23 27 27 39 41 47 49 50 age %fat 25.9 27.4 | 27.2 | 31.2 9.5 26.5 7.8 17.8 31.4 52 54 54 56 57 58 58 60 61 age %fat 34.6 42.5 28.8 | 33.4 30.2 | 34.1 | 32.9 | 41.2 | 35.7 (a) Normalize the two variables based on z-score normalization. (b) Calculate the correlation coefficient (Pearson's product moment coefficient). Are these two variables positively or negatively correlated?

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Exercise 1: Suppose a hospital tested the age and body fat data for 18 randomly selected adults with
the following result
23
23
27
27
39
41
47
49
50
age
%fat
27.4 27.2 31.2
9.5
26.5
7.8
17.8
31.4
25.9
52
54
54
56
57
58
58
60
61
age
%fat | 34.6
42.5 28.8
33.4
30.2
34.1
32.9
41.2 35.7
(a) Normalize the two variables based on z-score normalization.
(b) Calculate the correlation coefficient (Pearson's product moment coefficient). Are these two
variables positively or negatively correlated?
Transcribed Image Text:Exercise 1: Suppose a hospital tested the age and body fat data for 18 randomly selected adults with the following result 23 23 27 27 39 41 47 49 50 age %fat 27.4 27.2 31.2 9.5 26.5 7.8 17.8 31.4 25.9 52 54 54 56 57 58 58 60 61 age %fat | 34.6 42.5 28.8 33.4 30.2 34.1 32.9 41.2 35.7 (a) Normalize the two variables based on z-score normalization. (b) Calculate the correlation coefficient (Pearson's product moment coefficient). Are these two variables positively or negatively correlated?
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