Two variables measured for each of 8 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 table.
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

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 SAS. Find the least squares prediction equation on the SAS printout at the bottom of the page. Interpret the slope of the least squares line.
c. Give the null and alternative hypotheses for testing whether total catch (y) is negatively linearly related to search frequency (x).
d. Find the p-value of the test, part c, on the SAS printout.
e. Give the appropriate conclusion of the test, part c, using α = .05.

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Dependent Var i able: CATCH Number of Observations Read Number of Observations Used Analysis of Variance Sun of Mean Square DF Source Model Squares 6888299 Pr > F 0.0402 F Value 6888299 6.81 Error Corrected Total 12959318 6071019 1011837