The following raw data were collected by a health an analyst from 50 smokers. It represents Risk Index (R.I.) (measured as concentration ratio of certain compounds in the blood) which is used as a strong indicator for getting a cardiovascular (CV) disease. We would like to study the effec
|
Age (YRS) |
Mass (KG) |
Cigarettes (Per Day) |
Risk Index (R.I.) (--) |
|
46 |
113 |
40 |
974.5 |
|
35 |
96 |
32 |
670.68 |
|
43 |
81 |
26 |
409.26 |
|
39 |
93 |
50 |
1484.5 |
|
22 |
66 |
25 |
500 |
|
58 |
55 |
33 |
631.87 |
|
60 |
72 |
15 |
350.75 |
|
54 |
93 |
19 |
347.09 |
|
32 |
55 |
12 |
308.78 |
|
63 |
115 |
24 |
580.74 |
|
30 |
105 |
20 |
320.5 |
|
24 |
90 |
19 |
381.59 |
|
55 |
65 |
15 |
274.25 |
|
30 |
115 |
6 |
322.66 |
|
40 |
115 |
21 |
411.11 |
|
34 |
80 |
22 |
396.48 |
|
31 |
88 |
22 |
906 |
|
70 |
57 |
33 |
616.87 |
|
35 |
116 |
43 |
1072.07 |
|
57 |
101 |
31 |
589.41 |
|
44 |
68 |
36 |
718.56 |
|
66 |
118 |
33 |
790.37 |
|
46 |
120 |
44 |
1129.84 |
|
20 |
72 |
19 |
487 |
|
64 |
63 |
35 |
665.25 |
|
30 |
113 |
3 |
204.26 |
|
32 |
70 |
20 |
312 |
|
37 |
68 |
23 |
299.67 |
|
52 |
88 |
26 |
418.76 |
|
64 |
70 |
46 |
1299.36 |
|
23 |
87 |
23 |
422.17 |
|
42 |
53 |
50 |
1500.5 |
|
54 |
64 |
15 |
299.75 |
|
35 |
95 |
49 |
1536.99 |
|
51 |
95 |
39 |
912.69 |
|
61 |
105 |
20 |
386.5 |
|
37 |
115 |
16 |
375.46 |
|
64 |
95 |
35 |
825.25 |
|
57 |
118 |
22 |
401.48 |
|
52 |
114 |
19 |
449.59 |
|
29 |
88 |
10 |
348 |
|
68 |
83 |
44 |
1195.34 |
|
35 |
114 |
27 |
554.83 |
|
24 |
114 |
17 |
408.13 |
|
70 |
103 |
22 |
410.98 |
|
48 |
86 |
16 |
366.96 |
|
22 |
52 |
27 |
768.9 |
|
28 |
92 |
19 |
311.59 |
|
55 |
90 |
33 |
736.37 |
|
46 |
111 |
48 |
1497.42
|
P3.The following raw data were collected by a health an analyst from 50 smokers. It represents Risk Index (R.I.) (measured as concentration ratio of certain compounds in the blood) which is used as a strong indicator for getting a cardiovascular (CV) disease.
We would like to study the effect of each of the three factors (age, mass, and No. of cigarettes) on the R.I. :
Answer the following:
- Classify the data into 3 groups according to age: Young: age < 35, Middle aged: between 36 and 59, and Old: age >60.
Then study if the Risk Index is affected by age class.
- Classify the data into 3 groups according to body mass: regular mass <70, fat mass between shall be better? Show the evidence and comment on it.
- Do a nonlinear fitting for the data using the following equation
R.I. = co + c1*Age + c2*Mass+c3*Cig^C4
- Compare the predicted and measured R.I. values for both linear and nonlinear fitting. Which fitting is better? Suggest a measure that can tell you quantitatively which fitting is better.
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