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Statistics for Business and Economics | 12th Edition | ISBN: 9780321826237 | Authors: James T. McClave, P. George Benson, Terry T Sincich
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Answer: Lobster fishing study. Refer to the Bulletin of

Chapter 11, Problem 64E

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QUESTION:

Problem 64E

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 11.46 (p. 629). Recall that simple linear regression was used to model y = total catch of lobsters (in kilograms) during the season as a function of x = average percentage of traps allocated per day to exploring areas of unknown catch (called search frequency). Another portion of the XLSTAT printout of the analysis is shown on the next page.

a. Locate and interpret the coefficient of determination, r2, on the printout.

b. Locate and interpret the coefficient of correlation, r, on the printout.

c. In Exercise 11.46, you conducted a test to determine that total catch (y) is negatively linearly related to search frequency (x). Which of the two statistics, r or r2, can be used to partially support this inference? Explain. XLSTAT output for Exercise 11.64

Questions & Answers

QUESTION:

Problem 64E

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 11.46 (p. 629). Recall that simple linear regression was used to model y = total catch of lobsters (in kilograms) during the season as a function of x = average percentage of traps allocated per day to exploring areas of unknown catch (called search frequency). Another portion of the XLSTAT printout of the analysis is shown on the next page.

a. Locate and interpret the coefficient of determination, r2, on the printout.

b. Locate and interpret the coefficient of correlation, r, on the printout.

c. In Exercise 11.46, you conducted a test to determine that total catch (y) is negatively linearly related to search frequency (x). Which of the two statistics, r or r2, can be used to partially support this inference? Explain. XLSTAT output for Exercise 11.64

ANSWER:

Step 1 of 3

a)

Let y denote the total catch of lobsters and x denote the search frequency.

From XLSTAT printout, the coefficient of determination .

 implies that 53.97% of the variability observed in total catch is explained by the linear model.

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