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Lobster trap placement. Strategic placement of lobster
Chapter , Problem 124E(choose chapter or problem)
Problem 124E
Lobster trap placement. Strategic placement of lobster traps is one of the keys for a successful lobster fisherman. An observational study of teams fishing for the red spiny lobster in Baja California Sur, Mexico, was conducted and the results published in Bulletin of Marine Science (April 2010). Two variables measured for each of eight teams from the Punta Abreojos (PA) fishing cooperative were y = total catch of lobsters (in kilograms) during the season and x = average percentage of traps allocated per day to exploring areas of unknown catch (called search frequency). These data are listed in the accompanying table. Graph the data in a scatterplot. What type of trend, if any, do you observe?
Lobster Fishing Study Data
Total Catch |
Search Frequency |
2,785 |
35 |
6,535 |
21 |
6,695 |
26 |
4,891 |
29 |
4,937 |
23 |
5,727 |
17 |
7,019 |
21 |
5,735 |
20 |
Source: Based on Shester, G. G. “Explaining catch variation among Baja California lobster fishers through spatial analysis of trap-placement decisions,” Bulletin of Marine Science, Vol. 86, No. 2, April 2010 (Table 1), pp. 479–498.
Questions & Answers
QUESTION:
Problem 124E
Lobster trap placement. Strategic placement of lobster traps is one of the keys for a successful lobster fisherman. An observational study of teams fishing for the red spiny lobster in Baja California Sur, Mexico, was conducted and the results published in Bulletin of Marine Science (April 2010). Two variables measured for each of eight teams from the Punta Abreojos (PA) fishing cooperative were y = total catch of lobsters (in kilograms) during the season and x = average percentage of traps allocated per day to exploring areas of unknown catch (called search frequency). These data are listed in the accompanying table. Graph the data in a scatterplot. What type of trend, if any, do you observe?
Lobster Fishing Study Data
Total Catch |
Search Frequency |
2,785 |
35 |
6,535 |
21 |
6,695 |
26 |
4,891 |
29 |
4,937 |
23 |
5,727 |
17 |
7,019 |
21 |
5,735 |
20 |
Source: Based on Shester, G. G. “Explaining catch variation among Baja California lobster fishers through spatial analysis of trap-placement decisions,” Bulletin of Marine Science, Vol. 86, No. 2, April 2010 (Table 1), pp. 479–498.
ANSWER:Solution:
Step 1 of 2:
Two variables measured for each of eight teams from the Punta Abreojos (PA) fishing cooperative where y= total catch of lobsters during the season and x= average percentage of traps allocated per day to exploring areas of unknown catch.
We have to graph the given data in scatter plot, and want to interpret the graph.
Total Catch |
Search Frequency |
2,785 |
35 |
6,535 |
21 |
6,695 |
26 |
4,891 |
29 |
4,937 |
23 |
5,727 |
17 |
7,019 |
21 |
5,735 |
20 |