Recall that simple linear regression was used to model y = total catch of lobsters (in kilograms)

Question:

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). A portion of the Minitab printout giving a 95% confidence interval for E(y) and a 95% prediction interval for y when x = 25 is shown below.

a. Locate and interpret the 95% confidence interval for E(y).
b. Locate and interpret the 95% prediction interval for y.
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 11.16.