Feeding habits of fish. Refer to the Brain and Behavior Evolution (Apr. 2000) study of the feeding behavior of black-bream fish, presented in Exercise 2.162 (p. 124).

Recall that the zoologists recorded the number of aggressive strikes of two black-bream fish feeding at the bottom of an aquarium in the 10-minute period following the addition of food. The table listing the weekly number of strikes and the age of the fish (in days) is reproduced below.

a. Write the equation of a straight-line model relating number of strikes (y) to age of fish (x).

b. Fit the model to the data by the method of least squares and give the least squares prediction equation.

c. Give a practical interpretation of the value of b n 0 if possible.

d. Give a practical interpretation of the value of b n 1 if possible.

e. Test H0: b1 = 0 versus Ha: b1 6 0, using a = .10.
Interpret the result.

Transcribed Image Text:

Week Number of Strikes Age of Fish (days) 123456789 85 120 63 136 34 150 39 155 58 162 35 169 57 178 12 184 15 190