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Get Full Access to Statistics For Business And Economics - 12 Edition - Chapter 11 - Problem 16e
Get Full Access to Statistics For Business And Economics - 12 Edition - Chapter 11 - Problem 16e

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# Lobster fishing study. Refer to the Bulletin of Marine

ISBN: 9780321826237 51

## Solution for problem 16E Chapter 11

Statistics for Business and Economics | 12th Edition

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Problem 16E

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 trap-placement 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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