In: Statistics and Probability
1. A doctor’s office wants to predict Body fat based on tight fat content, mid-arm circumference, and triceps fat electric conductivity. A research was conducted and the following information was obtained.
|
Fat |
Triceps |
Midarm |
Thigh |
|
11.9 |
19.5 |
29.1 |
43.1 |
|
22.8 |
24.7 |
28.2 |
49.8 |
|
18.7 |
30.7 |
37 |
51.9 |
|
20.1 |
29.8 |
31.1 |
54.3 |
|
12.9 |
19.1 |
30.9 |
42.2 |
|
21.7 |
25.6 |
23.7 |
53.9 |
|
27.1 |
31.4 |
27.6 |
58.5 |
|
25.4 |
27.9 |
30.6 |
52.1 |
|
21.3 |
22.1 |
23.2 |
49.9 |
|
19.3 |
25.5 |
24.8 |
53.5 |
|
25.4 |
31.1 |
30 |
56.6 |
|
27.2 |
30.4 |
28.3 |
56.7 |
|
11.7 |
18.7 |
23 |
46.5 |
|
17.8 |
19.7 |
28.6 |
44.2 |
|
12.8 |
14.6 |
21.3 |
42.7 |
|
23.9 |
29.5 |
30.1 |
54.4 |
|
22.6 |
27.7 |
25.7 |
55.3 |
|
25.4 |
30.2 |
24.6 |
58.6 |
|
14.8 |
22.7 |
27.1 |
48.2 |
|
21.1 |
25.2 |
27.5 |
51 |
Answer: Using R-Code with Produce a scatter plot matrix

Interpretation : Strong positive correlation between Triceps and Flat, Thigh and Triceps, Fat and Triceps.
Answer using Excel:

In both outputs there is strong positive correlation between Triceps and Flat, Thigh and Triceps, Fat and Triceps.
Hope this will be helpful. Thanks and God Bless You :)