|
age(years)
|
height(cm)
|
weight(kg)
|
|
0
|
50
|
3.4
|
|
0.25
|
60
|
5.4
|
|
0.5
|
66
|
7.3
|
|
0.75
|
71
|
8.6
|
|
1
|
75
|
9.5
|
|
1.5
|
81
|
10.8
|
|
2
|
87
|
11.8
|
|
3
|
94
|
15.0
|
|
4
|
102
|
15.9
|
|
5
|
108
|
18.2
|
|
6
|
114
|
20.0
|
|
7
|
121
|
21.8
|
|
8
|
126
|
25.0
|
|
9
|
132
|
29.1
|
|
10
|
138
|
32.7
|
|
11
|
144
|
37.3
|
|
12
|
151
|
41.4
|
|
13
|
156
|
46.8
|
|
14
|
160
|
50.0
|
|
15
|
161
|
52.3
|
|
16
|
163
|
56.4
|
|
17
|
164
|
57.7
|
|
18
|
164
|
58.6
|
a. Use the data from ages 4 through 18, together with the trendline feature of Excel, to find a power law relationship between height and weight,
w = ahk.
Give a physiological explanation for this relationship.
b. Create a graph of height versus age, then create another graph of rate of change in height versus age (much like the graphs seen in the text). Associate the rate of change of height with the earlier age. What happens with the rate of change in height? Describe the graph for the rate of height gain over the early years (0-3), the ages 3-12, then adolescence (13-18).
c. Create a graph of weight versus age, then create another graph of rate of change in weight versus age (much like the graphs seen in the notes). Associate the rate of change of weight with the earlier age. What happens with the rate of change in weight? Describe the graph for the rate of weight gain over the early years (0-3), the ages 3-12, then adolescence (13-18) and compare these rate of changes to the ones you found for the rate of change in height in Part b.