Problem 16E
Lobster fishing study. Refer to the Bulletin of Marine Science (April 2010) study of teams of fishermen fishing for the red spiny lobster in Baja California Sur, Mexico, Exercise 2.124 (p. 104). Two variables measured for each of 15 teams from two fishing cooperatives 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 table.
Total Catch 
SearchFrequency 
Total Catch 
SearchFrequency 
9,998 
18 
6,535 
21 
7,767 
14 
6,695 
26 
8,764 
4 
4,891 
29 
9,077 
18 
4,937 
23 
8,343 
9 
5,727 
17 
9,222 
5 
7,019 
21 
6,827 
8 
5,735 
20 
2,785 
35 


Source: Based on Shester, G. G. “Explaining catch variation among Baja California lobster fishers through spatial analysis of trapplacement decisions,” Bulletin of Marine Science, Vol. 86, No. 2, April 2010 (Table 1).
a. Graph the data in a scatterplot. What type of trend, if any, do you observe?
b. A simple linear regression analysis was conducted using XLSTAT. A portion of the regression printout is shown on the next page. Find the estimates of b0 and b1 on the printout.
c. If possible, give a practical interpretation of the estimate of β0. If no practical interpretation is possible, explain why.
d. If possible, give a practical interpretation of the estimate of β1. If no practical interpretation is possible, explain why.
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