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.

For Information: 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.
a. Graph the data in a scatter plot. 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 β0 and β1 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 B1. If no practical interpretation is possible, explain why.

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Search Search Total Catch Frequency Total Catch Frequency 9.998 7767 8.764 9,077 8,343 9.222 6,827 2,785 6,535 6,695 4,891 4.937 5,727 7,019 5,735 21 26 29 23 17 21 20 18 14 18 35 Model parameters Value Standard error 829.0411 41.9014 Pr > ltl Source Intercept9877.8300 SEARCHFR 163.6024 t 11.9148 <0.0001 3.9045 0.0018 Lower bound(95%) Upper bound (95%) 11668.8643 73.0799 8086.7957 254.1249 Equation of the model: CATCH: 9877.82997-163.60242 SEARCHFREQ