Plankton Counts. Transform the plankton data in Table 7.2 using a square root transformation x = sqrt(y) and a logarithmic transformation x = log(y) and compare the results with those shown in Figure 7.3. TABLE 7.2 Plankton Counts on 20 Replicate Water Samples from Five Stations in a Reservoir 0 1 1 3 3 5 3 5 8 7 10 Station 1 Station 2 Station 3 Station 4 Station 5 0 2 1 3 1 1 6 1 5 7 7 2 6 9 12 7 10 15 1 Frequency 10- 10 0 044sa 5 9 0 0 1 0 1 1 4 6 5 7 6 11 1 2 6 13 ●● 334 ∞ Station 1 Station 2 Station 3 Station 4 Station 5 4 8 12 Plankton Count FIGURE 7.3 Original and transformed plankton counts. билио 16 0 2 3 3 3 1246H 8 11 0 0 234∞ 8 ●● ●●●●●● ●●●●●●●● 1884 214 sa 3 0 2 2 ●●●●●● ●●●●●●●●●●● 3 Count + 0.5 2 2 5 2 3 7 9 6 12449 1 0 2 1 5
Plankton Counts. Transform the plankton data in Table 7.2 using a square root transformation x = sqrt(y) and a logarithmic transformation x = log(y) and compare the results with those shown in Figure 7.3. TABLE 7.2 Plankton Counts on 20 Replicate Water Samples from Five Stations in a Reservoir 0 1 1 3 3 5 3 5 8 7 10 Station 1 Station 2 Station 3 Station 4 Station 5 0 2 1 3 1 1 6 1 5 7 7 2 6 9 12 7 10 15 1 Frequency 10- 10 0 044sa 5 9 0 0 1 0 1 1 4 6 5 7 6 11 1 2 6 13 ●● 334 ∞ Station 1 Station 2 Station 3 Station 4 Station 5 4 8 12 Plankton Count FIGURE 7.3 Original and transformed plankton counts. билио 16 0 2 3 3 3 1246H 8 11 0 0 234∞ 8 ●● ●●●●●● ●●●●●●●● 1884 214 sa 3 0 2 2 ●●●●●● ●●●●●●●●●●● 3 Count + 0.5 2 2 5 2 3 7 9 6 12449 1 0 2 1 5
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Plankton Counts. Transform the plankton data in Table 7.2 using a square root transformation
x = sqrt(y) and a logarithmic transformation x = log(y) and compare the results with those
shown in Figure 7.3.
TABLE 7.2
Plankton Counts on 20 Replicate Water Samples from Five Stations in a Reservoir
0
1
1
3
3 5
3 5
8 7 10
Station 1
Station 2
Station 3
Station 4
Station 5
0 2 1
3
1
1
6
1
5
7
7
2
6 9
12
7 10 15
1
Frequency
10-
10
0
044sa
5
9
0
0
1
0 1
1
4
6
5
7 6
11
1
2
6 13
●●
334 ∞
Station 1
Station 2
Station 3
Station 4
Station 5
4
8 12
Plankton Count
FIGURE 7.3 Original and transformed plankton counts.
билио
16 0
2
3
3
3
1246H
8 11
0 0
234∞
8
●●
●●●●●●
●●●●●●●●
1884
214 sa
3 0
2 2
●●●●●●
●●●●●●●●●●●
3
Count + 0.5
2
2
5 2 3
7
9 6
12449
1
0
2
1
5
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